Journal ArticleDOI
Soliton solutions of a coupled Korteweg-de Vries equation
Ryogo Hirota,Junkichi Satsuma +1 more
Reads0
Chats0
TLDR
In this paper, a coupled Korteweg-de Vries equation is presented, which exhibits a soliton solution and three basic conserved quantities for a special choice of dispersion relations.About:
This article is published in Physics Letters A.The article was published on 1981-10-19. It has received 757 citations till now. The article focuses on the topics: Korteweg–de Vries equation & Soliton.read more
Citations
More filters
Journal ArticleDOI
Application of a homogeneous balance method to exact solutions of nonlinear equations in mathematical physics
TL;DR: In this article, the solitary wave solutions of the approximate equations for long water waves, coupled KdV equations and the dispersive long wave equations in 2 + 1 dimensions are constructed by using a homogeneous balance method.
Book
Handbook of Nonlinear Partial Differential Equations
TL;DR: In this paper, the authors present a general framework for nonlinear Equations of Mathematical Physics using a general form of the form wxy=F(x,y,w, w, wx, wy) wxy.
Journal ArticleDOI
Variational iteration method for solving Burger's and coupled Burger's equations
M.A. Abdou,A.A. Soliman +1 more
TL;DR: In this article, He's variational iteration method is introduced to overcome the difficulty arising in calculating Adomian polynomials, and the solutions of Burger's equation and coupled Burger's equations are exactly obtained.
Journal ArticleDOI
Periodic wave solutions to a coupled KdV equations with variable coefficients
TL;DR: In this article, the periodic wave solutions to a coupled KdV equations with variable coefficients are obtained by using F-expansion method which can be thought of as an over-all generalization of Jacobi elliptic function expansion method.
Journal ArticleDOI
The application of homotopy analysis method to solve a generalized Hirota–Satsuma coupled KdV equation
TL;DR: In this article, an analytic technique, namely the homotopy analysis method (HAM), is applied to solve a generalized Hirota-Satsuma coupled KdV equation, which provides a simple way to adjust and control the convergence region of solution series.
References
More filters
Journal ArticleDOI
Method for solving the Korteweg-deVries equation
TL;DR: In this paper, a method for solving the initial value problem of the Korteweg-deVries equation is presented which is applicable to initial data that approach a constant sufficiently rapidly as
Journal ArticleDOI
A Variety of Nonlinear Network Equations Generated from the Bäcklund Transformation for the Toda Lattice
Ryogo Hirota,Junkichi Satsuma +1 more
TL;DR: In this article, a Backlund transformation in the bilinear form is presented for the Toda equation, which reduces, in the special cases, to the self-dual network equation, the equation describing a Volterra system and a discrete Korteweg·de Vries equation.