Results 41 to 50 of about 8,902 (211)
On a hierarchy of nonlinearly dispersive generalized KdV equations
, 2015 We propose a hierarchy of nonlinearly dispersive generalized Korteweg--de Vries (KdV) evolution equations based on a modification of the Lagrangian density whose induced action functional the KdV equation extremizes. It is shown that two recent nonlinear
Christov, Ivan C.
core +1 more source
Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
Advances in Mathematical Physics, 2015 Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the ...
Binlu Feng, Yufeng Zhang
doaj +1 more source
Conservation laws and normal forms of evolution equations
, 2010 We study local conservation laws for evolution equations in two independent variables. In particular, we present normal forms for the equations admitting one or two low-order conservation laws.
Abellanas +35 more
core +1 more source
An efficient approach for the numerical solution of fifth-order KdV equations
Open Mathematics, 2020 The main aim of this article is to use a new and simple algorithm namely the modified variational iteration algorithm-II (MVIA-II) to obtain numerical solutions of different types of fifth-order Korteweg-de Vries (KdV) equations.
Ahmad Hijaz +2 more
doaj +1 more source
Higher order terms in multiscale expansions: a linearized KdV hierarchy [PDF]
, 2001 We consider a wide class of model equations, able to describe wave propagation in dispersive nonlinear media. The Korteweg-de Vries (KdV) equation is derived in this general frame under some conditions, the physical meanings of which are clarified. It is
Leblond, H.
core +4 more sources
Numerical Wave Solutions for Nonlinear Coupled Equations using Sinc-Collocation Method
Sultan Qaboos University Journal for Science, 2015 In this paper, numerical solutions for nonlinear coupled Korteweg-de Vries(abbreviated as KdV) equations are calculated by the Sinc-collocation method. This approach is based on a global collocation method using Sinc basis functions. The first step is to
Kamel Al-Khaled
doaj +1 more source
Odd Bihamiltonian Structure of New Supersymmetric N=2,4 KdV And Odd SUSY Virasoro - Like Algebra
, 1999 The general method of the supersymmetrization of the soliton equations with the odd (bi) hamiltonian structure is established. New version of the supersymmetric N=2,4 (Modified) Korteweg de Vries equation is given, as an example.
Chaichian +15 more
core +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
East European Journal of PhysicsTheoretical and numerical studies of ion-acoustic solitary waves (IASWs) in an unmagnetized plasma with ions, positron beams under pressure variation, and kaniadakis distributed electrons have been conducted. The potential wave amplitude is calculated by
Rafia Khanam, Satyendra Nath Barman
doaj +1 more source
Abstract and Applied Analysis, 2015 Some explicit travelling wave solutions to constructing exact solutions of nonlinear partial differential equations of mathematical physics are presented.
A. R. Seadawy, K. El-Rashidy
doaj +1 more source