Results 31 to 40 of about 22,064 (260)
Axioms, 2022 In this article, we discuss the (2 + 1)-D coupled Korteweg–De Vries (KdV) equations whose coefficients are variables, and stochastic (2 + 1)-D C-KdV (C-KdV) equations with the χ-Wick-type product.
Mohammed Zakarya +2 more
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Integrable Coupled KdV Systems [PDF]
, 1997 We give the conditions for a system of N- coupled Korteweg de Vries(KdV) type of equations to be integrable. Recursion operators of each subclasses are also given.
Gurses, Metin, Karasu, Atalay
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Korteweg-de Vries description of Helmholtz-Kerr dark solitons [PDF]
, 2006 A wide variety of different physical systems can be described by a relatively small set of universal equations. For example, small-amplitude nonlinear Schrödinger dark solitons can be described by a Korteweg-de Vries (KdV) equation.
Chamorro-Posada P +21 more
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Second Order Scheme For Korteweg-De Vries (KDV) Equation
Journal of Bangladesh Academy of Sciences, 2019 The kinematics of the solitary waves is formed by Korteweg-de Vries (KdV) equation. In this paper, a third order general form of the KdV equation with convection and dispersion terms is considered. Explicit finite difference schemes for the numerical solution of the KdV equation is investigated and stability condition for a first-order scheme using ...
Laek Sazzad Andallah +1 more
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Electronic Journal of Applied Mathematics, 2023 New solitary wave solutions for the Korteweg-de Vries (KdV) equation by a new version of the trial equation method are attained. Proper transformation reduces the Korteweg-de Vries (KdV) equation to a quadratic ordinary differential equation that is fully integrated using the new version trial equation approach. The family of solitary wave solutions of
Pandir, Yusuf, Ekin, Ali
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Axioms, 2023 In this paper we consider examples of complex expansion (cKdV) and perturbation (pKdV) of the Korteweg–de Vries equation (KdV) and show that these equations have a representation in the form of the zero-curvature equation.
Tatyana V. Redkina +2 more
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Optimally convergent hybridizable discontinuous Galerkin method for fifth-order Korteweg-de Vries type equations [PDF]
, 2017 We develop and analyze the first hybridizable discontinuous Galerkin (HDG) method for solving fifth-order Korteweg-de Vries (KdV) type equations. We show that the semi-discrete scheme is stable with proper choices of the stabilization functions in the ...
Chen, Yanlai, Dong, Bo, Jiang, Jiahua
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Solitary waves in a class of generalized Korteweg-de Vries equations. [PDF]
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 1993 We study the class of generalized Korteweg--de Vries (KdV) equations derivable from the Lagrangian: [ital L]([ital l],[ital p]) =[integral][1/2[ital cphi][sub [ital x]cphi[ital t]] [minus]([ital cphi][sub [ital x]])[sup [ital l]]/[ital l]([ital l][minus ...
Cooper, Shepard, Sodano
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Results in Physics, 2018 The aim of this paper is to study three space-time (3 + 1)-dimensional modified Korteweg-de Vries equations. Nonlinear space-time (3 + 1)-dimensional partial differential equations model many realistic problems in the fields of engineering, wave ...
Innocent Simbanefayi +1 more
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The Coupled Modified Korteweg-de Vries Equations [PDF]
, 1998 Generalization of the modified KdV equation to a multi-component system, that is expressed by \(\frac{\partial u_i}{\partial t} + 6 \bigl( \sum_{j,k=0}^{M-1} C_{jk} u_j u_k \bigr) \frac{\partial u_i}{\partial x} + \frac{\partial^3 u_{i}}{\partial x^3} =0\
T. Tsuchida, M. Wadati
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