Results 1 to 10 of about 8,902 (211)
Unique continuation principle for high order equations of Korteweg-de Vries type
Electronic Journal of Differential Equations, 2013 In this article we consider the problem of unique continuation for high-order equations of Korteweg-de Vries type which include the kdV hierarchy.
Pedro Isaza
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Classical Solutions for the Generalized Korteweg-de Vries Equation
Axioms, 2023 The Korteweg-de Vries equation models the formation of solitary waves in the context of shallow water in a channel. In our system, f or p=2 and p=3 (Korteweg-de Vries equations (KdV)) and (modified Korteweg-de Vries (mKdV) respectively), these equations ...
Svetlin Georgiev +3 more
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Fractional System of Korteweg-De Vries Equations via Elzaki Transform
Mathematics, 2021 In this article, a hybrid technique, called the Iteration transform method, has been implemented to solve the fractional-order coupled Korteweg-de Vries (KdV) equation. In this method, the Elzaki transform and New Iteration method are combined.
Wenfeng He +4 more
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Some finite difference methods for solving linear fractional KdV equation
Frontiers in Applied Mathematics and Statistics, 2023 The time-fractional Korteweg de Vries equation can be viewed as a generalization of the classical KdV equation. The KdV equations can be applied in modeling tsunami propagation, coastal wave dynamics, and oceanic wave interactions.
Appanah Rao Appadu, Abey Sherif Kelil
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BOUNDARY CONTROLLABILITY FOR THE TIME-FRACTIONAL NONLINEAR KORTEWEG-DE VRIES (KDV) EQUATION
Journal of Applied Analysis & Computation, 2020 Recently, time-fractional PDE has received much attention due to its advantages in modeling complex systems. It allows us to tackle efficiently problems involving complexity, self-similar, scale-free, and inverse power law. In particular, time-fractional PDE provides an excellent way for the description of memory and hereditary properties of various ...
Wang, Jingqun, Tian, Lixin
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Modulation of Camassa--Holm equation and reciprocal transformations [PDF]
, 2005 We derive the modulation equations or Whitham equations for the Camassa--Holm (CH) equation. We show that the modulation equations are hyperbolic and admit bi-Hamiltonian structure.
Abenda, Simonetta, Grava, Tamara
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Wavelet-based Numerical Approaches for Solving the Korteweg-de Vries (KdV) Equation
Turkish Journal of Mathematics and Computer Science, 2022 In this research work, we examine the Korteweg-de Vries equation (KdV), which is utilized to formulate the propagation of water waves and occurs in different fields such as hydrodynamics waves in cold plasma acoustic waves in harmonic crystals. This research presents two efficient computational methods based on Legendre wavelets to solve the Korteweg ...
Neslihan ÖZDEMİR, Aydın SEÇER
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Exact traveling wave solutions to higher order nonlinear equations
Journal of Ocean Engineering and Science, 2019 The present paper applies the new generalized (G′/G)-expansion method on three non-linear equations including the fifth-order Korteweg-de Vries equation, (3+1)-dimensional Modified KdV-Zakharov-Kuznetsov equation, and (3+1)-dimensional Jimbo-Miwa ...
Md Nur Alam, Xin Li
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On the calculation of finite-gap solutions of the KdV equation [PDF]
, 1999 A simple and general approach for calculating the elliptic finite-gap solutions of the Korteweg-de Vries (KdV) equation is proposed. Our approach is based on the use of the finite-gap equations and the general representation of these solutions in the ...
Bateman H. +10 more
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Weakly nonlinear wavepackets in the Korteweg–de Vries equation: the KdV/NLS connection [PDF]
Mathematics and Computers in Simulation, 2001 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boyd, John P., Chen, Guan-Yu
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