On Exact Solutions of a Coupled Korteweg – de Vries System Xu-dong Yang

b State Key Laboratory of Software Development Environment, Beijing, University of Aeronautics and Astronautics, Beijing 100191, China.. c Key Laboratory of Information Photonics

Recent research has claimed that the coupled KP system has an inner con- nection with matrix integrals over the orthogonal and symplectic ensembles, so the solutions might be ap-

In order to study the wave dynamics of nonlinear pulse propagation in an inhomo- geneous KdV media, a generalized form of the considered model with time-dependent coefficients

The purpose of this paper is to calculate the exact dark soliton solution for (6) using the solitary wave ansatz method, and find the conditions of their existence for general values

Key words: Coupled mKdV Equation; Hirota Bilinear Method; Hietarinta Approach; Multiple Soliton Solutions; Multiple Singular Soliton Solutions;

This representation not only provides a basis to write the cmKdV equation in the canonical form endowed with an appropriate Poisson structure but also help to construct a

In this work we study two partial differential equations that constitute second- and third-order approximations of water wave equations of the Korteweg – de Vries type. In

In this paper we have used a simple assump- tion and have found new solitary wave solutions for equations (1.4) and (1.5), that represent, respectively, second- and