Title
A new auxiliary function method for solving the generalized coupled Hirota–Satsuma KdV system
Abstract
In this letter, a new auxiliary function method is presented for constructing exact travelling wave solutions of nonlinear partial differential equations. The main idea of this method is to take full advantage of the solutions of the elliptic equation to construct exact travelling wave solutions of nonlinear partial differential equations. More new exact travelling wave solutions are obtained for the generalized coupled Hirota–Satsuma KdV system.
Year
DOI
Venue
2008
10.1016/j.amc.2007.11.007
Applied Mathematics and Computation
Keywords
Field
DocType
Elliptic equation,The generalized coupled Hirota–Satsuma KdV system,Travelling wave solution
Exact solutions in general relativity,Boundary value problem,Nonlinear system,Mathematical analysis,Auxiliary function,Initial value problem,Numerical analysis,Korteweg–de Vries equation,Partial differential equation,Mathematics
Journal
Volume
Issue
ISSN
200
1
0096-3003
Citations 
PageRank 
References 
5
0.73
0
Authors
2
Name
Order
Citations
PageRank
F. Yang148945.25
Hongqing Zhang213848.35