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8183 articles
Journal: Artery Research
Research Article
Wall shear stress revisited
Robert S. Reneman, Hans Vink, Arnold P.G. Hoeks
Pages: 73 - 78
In vivo measurements of wall shear stress (WSS), a determinant of endothelial cell function and gene expression, have shown that theoretical assumptions regarding WSS in the arterial system and its calculation are invalid. In humans mean WSS varies along the arterial tree and is higher in the carotid...
Case Report
Recurrent Urinary Tract Infections: A Red Herring for Primary Appendiceal Carcinoma
Sanad Saad, Muhammad Umar Younis
Pages: 73 - 74
Recurrent Urinary Tract Infections (UTIs) are a common issue in females owing mostly to the anatomy of their urinary tract. It can also hint at a pathology pertaining to the pelvic organs like tumors or infections that infiltrate the urinary bladder. We report the case of a 45-year-old woman who initially...
Research Article
The Research about Editing System of Performance Information for Player Piano
Mami Ezaki, Eiji Hayashi
Pages: 73 - 76
We have developed a system that allows a piano to perform automatically. In order to play music in the manner of a live pianist, we must add expression to the piano’s performance. In the case of music, there are often 1000 or more notes in the score, requiring that an editor spend a huge amount of time...
Journal: eFood
Research Article
Combination of Microwave, Ultrasonic, Enzyme Assisted Method for Curcumin Species Extraction from Turmeric (Curcuma Longa L.) and Evaluation of their Antioxidant Activity
Chengke Wang, Hanli Yang, Jiangyu Li
Pages: 73 - 80
The combination of microwave irradiation, ultrasonication treatment, and enzyme-assisted extraction approach was applied to study the extraction efficiency and antioxidative activity of curcumin from turmeric (Curcuma longa L.) using Response Surface Optimization (RSM). The effects of the power and treatment...
Research Article
A family of integrable evolution equations of third order
Matthew Babela, Alexandre Odesskii
Pages: 73 - 78
We construct a family of integrable equations of the form vt = f(v; vx; vxx; vxxx) such that f is a transcendental function in v; vx; vxx. This family is related to the Krichever-Novikov equation by a differential substitution. Our construction of integrable equations and the corresponding differential...
Research Article
System Integration and Application of a Networking Production Line for Aerospace Precision Manufacturing
Chau-Chung Song, Chun-Chi Wang, Geng-Yi Lin, Chung-Wen Hung
Pages: 73 - 77
In this paper, the networking integration application of an intelligent production line is studied and developed for aerospace precision manufacturing. The technical development of the performance equalization and control for EDM machine is also introduced with the related technologies of the machine...
Journal: Artery Research
Conference Abstract
P.092 EXERCISE IS A PROTECTIVE FACTOR AGAINST ARTERIAL STIFFNESS RESULTS FROM THE MONICA/KORA AUGSBURG STUDY
M.R.P. Markus, J. Stritzke, W. Lieb, B. Mayer, A. Luchner, A. Döring, U. Keil, H.W. Hense, H. Schunkert
Pages: 73 - 74
Journal: Artery Research
Conference Abstract
P.091 A PATIENT SPECIFIC WAVE PROPAGATION MODEL OF THE UPPER LIMB
C.A.D. Leguy, E.M.H. Bosboom, A.P.G. Hoeks, F.N. Van de Vosse
Pages: 73 - 73
Journal: Artery Research
Conference Abstract
3.5 CUFF BLOOD PRESSURE IS PROGRESSIVELY MORE BIASED WITH INCREASING AGE: INDIVIDUAL PARTICIPANT LEVEL ANALYSIS FROM THE INSPECT CONSORTIUM
Dean Picone, Martin Schultz, Petr Otahal, Ahmed Al-Jumaily, J. Andrew Black, Willem Bos, Chen-Huan Chen, Hao-Min Chen, Antoine Cremer, Nathan Dwyer, Ricardo Fonseca Diaz, Brian Gould, Alun Hughes, Hack-Lyoung Kim, Peter Lacy, Esben Laugesen, Sandy Muecke, Nobuyuki Ohte, Stefano Omboni, Christian Ott, Xiaoqing Peng, Telmo Pereira, Giacomo Pucci, Philip Roberts-Thomson, Niklas Rossen, Roland Schmieder, Velandai Srikanth, Ralph Stewart, George Stouffer, Daisuke Sueta, Kenji Takazawa, Ji-Guang Wang, Thomas Weber, Berend Westerhof, Bryan Williams, Hirotsugu Yamada, Eiichiro Yamamoto, James Sharman
Pages: 73 - 74
Objectives: Accurate blood pressure (BP) measurement is critical for appropriate hypertension diagnosis and management. Aortic BP represents pressure loading on vital organs and this can be approximated using upper arm cuff BP. With advancing age, cuff systolic BP (SBP) increases and diastolic BP (DBP)...
Journal: Artery Research
Conference Abstract
P74 WALL SHEAR RATE AND BRACHIAL ARTERY FLOW-MEDIATED DILATORY RESPONSE BETWEEN HEALTHY YOUNG AND OLDER POPULATIONS USING MULTI-GATE SPECTRAL DOPPLER ULTRASOUND
Kunihiko Aizawa, Sara Sbragi, Alessandro Ramalli, Piero Tortoli, Francesco Casanova, Carmela Morizzo, Clare Thorn, Angela Shore, Phillip Gates, Carlo Palombo
Pages: 73 - 73
Background: Ageing is associated with an impaired brachial artery flow-mediated dilatation (FMD) response and a reduced wall shear rate (WSR) stimulus may contribute to this response. However, a detailed analysis of the WSR-FMD response is lacking due to inherent difficulties of WSR estimation near the...
Journal: Artery Research
Conference Abstract
P.090 BASELINE PULSE WAVE VELOCITY IS AN INDEPENDENT PREDICTOR OF THE BLOOD PRESSURE REDUCTION AND EFFECTIVE BLOOD PRESSURE CONTROL: THE REASON STUDY
A.D. Protogerou, J. Blacher, M.E. Safar
Pages: 73 - 73
Journal: Artery Research
Conference Abstract
3.4 A CLINICAL SCORE TO PREDICT ELEVATED ARTERIAL STIFFNESS: DERIVATION AND VALIDATION IN 3,943 HYPERTENSIVE PATIENTS
Panagiotis Xaplanteris, Charalambos Vlachopoulos, Athanasios Protogerou, Konstantinos Aznaouridis, Dimitris Terentes-Printzios, Antonis Argyris, Nikolaos Tentolouris, Petros Sfikakis, Dimitris Tousoulis
Pages: 73 - 73
Purpose/Background/Objectives: Aortic stiffness assessed by carotid-femoral pulse wave velocity (PWV) is an important predictor to gauge the overall risk of hypertensive patients; nonetheless, it is underutilized in everyday practice. We derived a simple scoring system based on clinical variables that...
Journal: Artery Research
Conference Abstract
P73 THE ASSESSMENT OF PULMONARY ARTERY STIFFNESS IN COPD USING CARDIAC MRI THE Q/A METHOD
Nichola Gale, Sujoy Saikia, Margaret Munnery, John Cockcroft
Pages: 73 - 73
Background: Pulmonary artery distensibility and pulsatility has been studied in patients with COPD using cardiac MRI (CMRI) (1). However, pulmonary artery pulse wave velocity (PA- PWV) using ‘QA’ method (2) in CMRI has not been studied in this population. We hypothesized that patients with COPD have...
Journal: Artery Research
Conference Abstract
10.9 ARTERIAL STIFFNESS INDEX BETA AND CARDIO-ANKLE VASCULAR INDEX INHERENTLY DEPEND ON BLOOD PRESSURE, BUT CAN BE READILY CORRECTED
Bart Spronck, Alberto Avolio, Isabella Tan, Mark Butlin, Koen Reesink, Tammo Delhaas
Pages: 73 - 73
Objectives: Arterial stiffness index β and cardio-ankle vascular index (CAVI) are widely accepted to quantify the blood pressure (BP)-independent, intrinsic exponent (β0) of the BP-diameter relationship. CAVI and β assume an exponential relationship between pressure (P) and diameter (d). We aim (1) to...
Journal: Artery Research
Conference Abstract
P.089 INFLUENCE OF A SUBCLINICAL THYROTOXICOSIS ON HEART IN VARIOUS AGE-GRADES
E.N. Grineva, A.J. Babenko, N.V. Vahrameeva
Pages: 73 - 73
Journal: Artery Research
Conference Abstract
3.3 ROLE OF ARTERIAL STIFFNESS AND BLOOD PRESSURE VARIABILITY IN THE DEFINITION OF SHATS (SYSTEMIC HEMODYNAMIC ATHEROTHROMBOTIC SYNDROME)
Angelo Scuteri, Valentina Rovella, Danilo Alunni Fegatelli, Manfredi Tesauro, Marco Gabriele, Nicola Di Daniele
Pages: 73 - 73
Background: CV risk exponentially increases as the number of damaged organs increases The Systemic Hemodynamic Atherosclerotic Syndrome (SHATS) represents a novel conceptualization of the CV continuum focusing on simultaneous multi-organ alteration. This is the first study operationally defining SHATS...
Journal: Artery Research
Conference Abstract
P66 ASSOCIATION BETWEEN URINARY SODIUM EXCRETION, ENDOTHELIAL FUNCTION AND ARTERIAL STIFFNESS IN NON-DIABETIC HYPERTENSIVE PATIENTS
Michelle Cunha, Ana Rosa Cunha, Bianca Cristina Marques, Jenifer D’El-Rei, Samanta Mattos, Ronaldo Gismondi, Wille Oigman, Mario Neves
Pages: 73 - 73
Background: High salt intake has been associated with structural and functional vascular changes.1
Objective: To correlate urinary sodium excretion with endothelial function and arterial stiffness in non-diabetic hypertensive patients.
Methods: Cross-sectional study with non-diabetic hypertensive patients,...
Journal: Artery Research
Conference Abstract
10.8 SYSTOLIC AORTIC PRESSURE DERIVED FROM DIFFERENT CALIBRATION METHODS IN THE GENERAL POPULATION
Siegfried Wassertheurer, Bernhard Hametner, Christopher Mayer, Ahmed Hafez, Thomas Weber
Pages: 73 - 73
Background: There is recent evidence from different research groups that accuracy [1] and prognostic value [2,3,4] of systolic aortic pressure significantly depends on the method of calibration. Although these results consistently show superiority of mean pressure calibration (aSBP2) over both, traditional...
Research Article
The Recollection Characteristics of Generalized MCNN Using Different Control Methods
Shun Watanabe, Takashi Kuremoto, Shingo Mabu, Masanao Obayashi, Kunikazu Kobayashi
Pages: 73 - 79
Kuremoto et al. proposed a multi-layer chaotic neural network (MCNN) combined multiple Adachi et al.'s CNNs to realize mutual auto-association of plural time series patterns. However, the MCNN was limited in a two-layer model. In this paper, we extend the MCNN to be a general form (GMCNN) with more layers...
Research Article
On-line Rule Updating System Using Evolutionary Computation for Managing Distributed Database
Wirarama Wedashwara, Shingo Mabu, Masanao Obayashi, Takashi Kuremoto
Pages: 73 - 78
This research proposes a decision support system of database cluster optimization using genetic network programming (GNP) with on-line rule based clustering. GNP optimizes cluster quality by reanalyzing weak points of each cluster and maintaining rules stored in each cluster. The maintenance of rules...
Research Article
The Structure of Gelfand-Levitan-Marhenko Type Equations for Delsarte Transmutation Operators of Linear Multidimensional Differential Operators and Operator Pencils. Part 1.
Jolanta Golenia, Anatoliy K. Prykarpatsky, Yarema A. Prykarpatsky
Pages: 73 - 87
An analog of Gelfand-Levitan-Marchenko integral equations for multi- dimensional Delsarte transmutation operators is constructed by means of studying their differentiageometric structure based on the classical Lagrange identity for a formally conjugated pair of differential operators. An extension of...
Research Article
Symmetries and Integrating Factors
P.G.L. Leach, S.É. Bouquet
Pages: 73 - 91
Cheb-Terrab and Roche (J. Sym. Comp. 27 (1999), 501519) presented what they termed a systematic algorithm for the construction of integrating factors for second order ordinary differential equations. They showed that there were instances of odinary differential equations without Lie point symmetries...
Research Article
q-Probability: I. Basic Discrete Distributions
Boris A. Kupershmidt
Pages: 73 - 93
For basic discrete probability distributions, - Bernoulli, Pascal, Poisson, hypergemetric, contagious, and uniform, - q-analogs are proposed.
Research Article
Symmetry Reduction for Equation 2u + (u2 1 + u2 2 + u2 3)1/2 u0 = 0
L.F. Barannyk, H.O. Lahno
Pages: 73 - 89
The subalgebras of the invariance algebra of equation 2u+(u2
Research Article
Nonlinear-Integral-Equation Construction of Orthogonal Polynomials
Carl M. Bender, E. Ben-Naim
Pages: 73 - 80
The nonlinear integral equation P(x) = dyw(y)P(y)P(x + y) is investigated. It is shown that for a given function w(x) the equation admits an infinite set of polynomial solutions Pn(x). For polynomial solutions, this nonlinear integral equation reduces to a finite set of coupled linear algebraic equations...
Research Article
Complete Specification of Some Partial Differential Equations That Arise in Financial Mathematics
S. Dimas, K. Andriopoulos, D. Tsoubelis, P. G. L. Leach
Pages: 73 - 92
We consider some well-known partial differential equations that arise in Financial Mathematics, namely the Black–Scholes–Merton, Longstaff, Vasicek, Cox–Ingersoll–Ross and Heath equations. Our central aim is to discover any underlying connections taking into account the Lie remarkability property of...
Journal: Artery Research
Research Article
Applanation tonometry for evaluation of the haemodynamic response to the active orthostatic test
Rene Mileva-Popova, Nikolay Stoynev, Nina Belova
Pages: 72 - 82
Background: Our study was aimed at the assessment of the age-specific hemodynamic response to the active orthostatic test (OT).
Methods: Two groups (60-Y/O and 20-Y/O) were subjected to OT (three 5-minute periods: baseline supine, upright standing, recovery supine). Continuous electrocardiogram was...
Journal: Artery Research
Research Article
Retinal arteriolar and venular phenotypes in a Flemish population: Reproducibility and correlates
Yan-Ping Liu, Tom Richart, Yu Jin, Harry A. Struijker-Boudierc, Jan A. Staessen
Pages: 72 - 79
Background: To our knowledge, no previous study assessed the reproducibility of non-mydriatic imaging of retinal microvessels using state-of-the-art Bland and Altman statistics.
Methods: In 194 subjects randomly selected from a Flemish population, we post-processed retinal images (Canon Cr-DGi) using...
Research Article
Glucose-6-phosphate Dehydrogenase Deficiency in Patients Attending Tertiary Care Health Setting in Peshawar
Zair Hassan, Iftikhar Ali, Faheemullah Khan, Muhammad Shahbaz Khan
Pages: 72 - 75
Glucose-6-phosphate Dehydrogenase (G6PD) deficiency is an X-linked disorder that mainly affects red blood cells resulting in its lysis manifesting as hemolytic anemia. The purpose of this study is to measure the burden of this genetic disorder in patients presenting to a tertiary care health setting...
Journal: Clinical Hematology International
Research Article
Allogeneic Stem Cell Transplantation with a Novel Reduced Intensity Conditioning Regimen for the Treatment of Patients with Primary Cutaneous T-cell Lymphomas
Maria Stamouli, Konstantinos Gkirkas, Aggeliki Karagiannidi, Theodoros Iliakis, Spiros Chondropoulos, Thomas Thomopoulos, Vassiliki Nikolaou, Vassiliki Pappa, Evangelia Papadavid, Panagiotis Tsirigotis
Pages: 72 - 76
The prognosis of patients with mycosis fungoides (MF) and Sezary Syndrome (SS) varies greatly, from near normal life expectancy in patients with early stage, to a median survival of less than 2 years for those diagnosed with advanced stage disease. Initial response to treatment is almost always followed...
Journal: Artery Research
Conference Abstract
P.088 ENDOTHELIAL DYSFUNCTION AND ITS CORRECTION IN SUBCLINICAL THYROTOXICOSIS
A.J. Babenko, A.V. Liscer, M.I. Cadinskaya
Pages: 72 - 73
Journal: Artery Research
Conference Abstract
10.7 NON-INVASIVE ESTIMATION OF CENTRAL SYSTOLIC PRESSURE: A COMPARISON BETWEEN RADIAL ARTERY TONOMETRY AND A NEW DIRECT CENTRAL BLOOD PRESSURE ESTIMATION METHOD (DCBP)
Denis Chemla, Sandrine Millasseau, Edmund Lau, Nathalie Richard, Pierre Attal, Mabrouk Brahimi, Alain Nitenberg
Pages: 72 - 73
Background: We have developed a new proprietary method (DCBP® Direct Central Blood Pressure) to estimate central systolic blood pressure (cSBP) directly from peripheral pressure. In a previous meta-analysis of published high-fidelity pressure studies with simultaneous aortic and brachial pressure recordings,...
Journal: Artery Research
Conference Abstract
P.085 METABOLIC SYNDROME AND VASCULAR ALTERATIONS IN NORMOTENSIVE PATIENTS AT RISK OF DIABETES MELLITUS
C. Giannarelli, Y. Plantinga, L. Ghiadoni, G. Penno, A. Salvetti, S. Del Prato
Pages: 72 - 72
Journal: Artery Research
Conference Abstract
P65 GENDER DIFFERENCES OF AORTIC WAVE REFLECTION AND INFLUENCE OF MENOPAUSE ON CENTRAL BLOOD PRESSURE IN PATIENTS WITH ARTERIAL HYPERTENSION
Valeria Costa-Hong, Henrique Muela, Thiago Macedo, Alan Sales, Luiz Bortolotto
Pages: 72 - 72
Background: Evidences suggest that central hemodynamics indexes are independent predictors of future cardiovascular events and all-cause mortality. Multiple factors have been pointed to have potential influence on central aortic function: height, heart rate, left ventricular ejection duration and blood...
Journal: Artery Research
Conference Abstract
10.6 VARIATION OF THE ASYMPTOTIC DIASTOLIC PRESSURE WITH DIFFERENT FITTING TECHNIQUES IN HEALTHY HUMANS
Nicola Pomella, Christina Kolyva, Ernst Rietzschel, Patrick Segers, Ashraf W. Khir, Madalina Negoita
Pages: 72 - 72
Background: Reservoir-wave model assumes the measured pressure (Pm) consists of two additive components: reservoir (Pr) and excess pressure (Pex)1–2. Calculation of Pr requires fitting the diastolic decay of Pm for calculating parameters P∞ (asymptotical value) and b (time constant)1. However, there...
Journal: Artery Research
Conference Abstract
P.084 VISCERAL ADIPOSITY AS THE MAIN DETERMINANT OF CAROTID STIFFNESS IN A HEALTHY POPULATION WITH A WIDE BMI AND AGE RANGE: EVIDENCE FROM AN ECHO-TRACKING APPROACH
E. Guerra, E. Malshi, C. Morizzo, M. Kozakova, S. Camastra, E. Muscelli, C. Palombo, E. Ferrannini
Pages: 72 - 72
Journal: Artery Research
Conference Abstract
3.2 RESERVOIR PRESSURE INTEGRAL IS INDEPENDENTLY ASSOCIATED WITH THE REDUCTION IN RENAL FUNCTION IN AN OLDER POPULATION
Kunihiko Aizawa, Francesco Casanova, David M. Mawson, Kim M. Gooding, W. David Strain, Phillip E. Gates, Gerd Östling, Faisel Khan, Helen M. Colhoun, Carlo Palombo, Kim H. Parker, Jan Nilsson, Angela C. Shore, Alun D. Hughes
Pages: 72 - 73
Background: Central haemodynamic parameters derived from reservoir pressure analysis (RPA-parameters) exhibit prognostic utility. Alterations in reservoir function could have an unfavourable influence on target organs, such as the kidneys. We determined in older adults whether these RPA-parameters would...
Journal: Artery Research
Conference Abstract
P64 ARTERIAL STIFFNESS AND PULSE PRESSURE AMPLIFICATION IN ADULTS WITH ISOLATED SYSTOLIC HYPERTENSION
Rosa Maria Bruno, Francesco Faggioni, Daniele Simone, Stefano Taddei, Ugo Faraguna, Lorenzo Ghiadoni
Pages: 72 - 72
Background/aim: ISH is usually considered more prevalent in aged individuals and associated to increased large artery stiffness. This study is aimed at identifying determinants of ISH in adult individuals.
Methods: 20 individuals <60 years, referred to the Outpatient Hypertension Unit for high blood...
Journal: Artery Research
Conference Abstract
10.5 COMPARISON OF ARTERIAL STIFFNESS ASSESSED BY POPMÈTRE® WITH ARTERIAL STIFFNESS ASSESSED BY APPLANATION TONOMETRY: A CLINICAL STUDY
Hasan Obeid, Hakim Khettab, Pierre Boutouyrie, Stephane Laurent, Magid Hallab
Pages: 72 - 72
Background: Large artery stiffness is recognized as a strong, independent marker of cardiovascular risk, mainly through aortic pulse wave velocity (PWV). pOpmètre® is a new non-invasive method, which estimates aortic PWV through finger-toe (FT) wave analysis. In a previous study, Alivon et al. have shown...
Journal: Artery Research
Conference Abstract
P.083 COMPARISON OF LOCAL CAROTID AND AORTIC STIFFNESS PARAMETERS IN MILD ESSENTIAL HYPERTENSIVE PATIENTS
C. Giannarelli, E. Bianchini, K. Raimo, L. Landini, F. Faita, V. Gemignani, M. Demi, L. Ghiadoni
Pages: 72 - 72
Journal: Artery Research
Conference Abstract
P63 CAN BRAQUIAL OSCILLOMETRY IDENTIFY PREHYPERTENSION AMONG NORMOTENSIVE SUBJECTS?
Enrique Rodilla, Manuel Adell, Vicente Giner, Zeneida Perseguer, Jose Maria Pascual, Maria Teresa Climent
Pages: 72 - 72
Background and objective: Arterial stiffness (AS) reflects vascular damage. Our objective was to determine 1) the frequency of AS in community pharmacies, 2) if subjects with AS identified by brachial oscillometry have more CV risk factors than normal subjects, and 3) if the prevalence of AS varies upon...
Journal: Artery Research
Conference Abstract
10.4 COMPARISON OF BLOOD PRESSURE VARIABILITY CALCULATED FROM PERIPHERAL AND DERIVED AORTIC BLOOD PRESSURE
Zahra Kouchaki, Mark Butlin, Ahmad Qasem, Alberto Avolio
Pages: 72 - 72
Background: Systolic blood pressure variability (SBPV), conventionally calculated from peripheral sites such as the arm or finger, may be of more utility when computed from central aortic values, as this has greater applicability to the heart and the baroreceptor function, due to central location of...
Research Article
A Middleware-Based Implementation for Data Integration of Remote Devices
Xianyong Liu, Yanping Liu, Lizhuang Ma, Qing Gao
Pages: 72 - 78
Different from existing techniques3-5 that often focus on high level data integration, this paper contributes a novel solution at device level, implementing a fully scalable and configurable middleware, aiming at releasing the power of parallel processing with distributed data. It is designed as a soft-gateway...
Research Article
Construction of Dynamic Risk Maps for Large Metropolitan Areas
Evgeny S. Guryev, Lyudmila V. Poluyan, Sviatoslav A. Timashev
Pages: 72 - 76
The paper describes a methodology used for constructing dynamic risk map for a virtual large «Russian Gotham-RG» city. The risk map is the core of the safety passport (SP) for the city, as required by the Russian EMERCOM and the Russian State Agency for Industrial Safety. The SP contains extensive risk...
Research Article
A Study on Marine Vessels’ Path Optimization under Typhoon Scenarios
Li Xu, Xiaobing Hu
Pages: 72 - 81
Typhoon may cause a huge impact on the safety and costs of marine vessels on the voyage. In order to effectively solve the path optimization problem for marine vessels under typhoon scenarios, this paper proposes a hybrid algorithm integrating Genetic Algorithm (GA) with Receding Horizon Control (RHC),...
Review Article
Enterprise Resource Planning (ERP) Systems: Design, Trends and Deployment
Dania Mahmoud Bahssas, Adnan Mustafa AlBar, Md. Rakibul Hoque
Pages: 72 - 81
The Enterprise Resource Planning (ERP) system is a famous widespread solution in business organization which is used and verified the integration and automation of the processes, performance improvements, and cost reduction. However, new innovations in technology trends that forced ERP designers to go...
Research Article
Green function for Klein-Gordon-Dirac equation
Vasyl Kovalchuk
Pages: 72 - 77
The Green function for Klein-Gordon-Dirac equation is obtained. The case with the dominating Klein-Gordon term is considered. There seems to be a formal analogy between our problem and a certain problem for a 4-dimensional particle moving in the external field. The explicit relations between the wave...
Research Article
The Classical Problem of Water Waves: a Reservoir of Integrable and Nearly-Integrable Equations
Robin S. Johnson
Pages: 72 - 92
In this contribution, we describe the simplest, classical problem in water waves, and use this as a vehicle to outline the techniques that we adopt to analyse this particular approach to the derivation of soliton-type equations. The surprise, perhaps, is that such an apparently transparent set of equations...
Research Article
Integrable Models for Shallow Water with Energy Dependent Spectral Problems
Rossen Ivanov, Tony Lyons
Pages: 72 - 88
We study the inverse problem for the so-called operators with energy depending potentials. In particular, we study spectral operators with quadratic dependence on the spectral parameter. The corresponding hierarchy of integrable equations includes the Kaup–Boussinesq equation. We formulate the inverse...