Paper Info
Title
Automatic computation of the travelling wave solutions to nonlinear PDEs
Abstract
Various extensions of the tanh-function method and their implementations for finding explicit travelling wave solutions to nonlinear partial differential equations (PDEs) have been reported in the literature. However, some solutions are often missed by these packages. In this paper, a new algorithm and its implementation called TWS for solving single nonlinear PDEs are presented. TWS is implemented in Maple 10. It turns out that, for PDEs whose balancing numbers are not positive integers, TWS works much better than existing packages. Furthermore, TWS obtains more solutions than existing packages for most cases.
Year
DOI
Venue
2008
10.1016/j.cpc.2007.12.004
Computer Physics Communications
Keywords
Field
DocType
02.30.Jr,02.70.Wz,01.50.Ff
Integer,Nonlinear system,Finite set,Algebra,Identifier,Computer science,Mathematical analysis,Symbolic computation,Test data,Partial differential equation,Calculus,Computation
Journal
Volume
Issue
ISSN
178
9
0010-4655
Citations 
PageRank 
References 
3
0.46
3
Authors
2
Name
Order
Citations
PageRank
Songxin Liang1215.09
David J. Jeffrey21172132.12