Addendum to: "Coupled KdV Equations of Hirota-Satsuma Type" (J. Nonlin. Math. Phys. Vol. 6, No.3 (1999), 255262)
نویسندگان
چکیده
منابع مشابه
SOLITARY SOLUTIONS OF COUPLED KdV AND HIROTA–SATSUMA DIFFERENTIAL EQUATIONS
By considering the set of coupled KdV differential equations as a zero curvature representation of some fourth order linear differential equation and factorizing the linear differential equation, the hierarchy of solutions of the coupled KdV differential equations have been obtained from the eigen spectrum of constant potentials.
متن کاملMulti-component generalizations of the Hirota-Satsuma coupled KdV equation
In this paper, we consider multi-component generalizations of the Hirota–Satsuma coupled Korteweg–de Vries (KdV) equation. By introducing a Lax pair, we present a matrix generalization of the Hirota–Satsuma coupled KdV equation, which is shown to be reduced to a vector Hirota–Satsuma coupled KdV equation. By using Hirota's bilinear method, we find a few soliton solutions to the vector Hirota–Sa...
متن کاملNew Darboux Transformation for Hirota-Satsuma coupled KdV System
A new Darboux transformation is presented for the Hirota-Satsuma coupled KdV system. It is shown that this Darboux transformation can be constructed by means of two methods: Painlevé analysis and reduction of a binary Darboux transformation. By iteration of the Darboux transformation, the Grammian type solutions are found for the coupled KdV system.
متن کاملNumerical Simulation of the Generalized Hirota-Satsuma Coupled KdV Equations by Variational Iteration Method
In this paper, the variational iteraton method is used for solving the Generalized HirotaSatsuma Coupled KdV ( GHS KdV ) equations. In this method general Lagrange multipliers are introduced to construct correction functionals for the models.In the current paper, we are applied this technique on interesting and important model.The results are compared with exact solution.
متن کاملComputing Exact Solutions to Hirota-Satsuma KdV System
In this paper we obtain one and two soliton solutions to HirotaSatsuma KdV system with the aid of Hirota’s bilinear method. We also obtain some rational solutions. Mathematics Subject Classification: 35C05
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2001
ISSN: 1776-0852
DOI: 10.2991/jnmp.2001.8.2.10