Automatic computation of the travelling wave solutions to nonlinear PDEs

Published: 1 May 2008| Version 1 | DOI: 10.17632/b2ks7tfpbs.1
Songxin Liang, David J. Jeffrey


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... Title of program: TWS Catalogue Id: AEAM_v1_0 Nature of problem Finding the travelling wave solutions to single nonlinear PDEs Versions of this program held in the CPC repository in Mendeley Data AEAM_v1_0; TWS; 10.1016/j.cpc.2007.12.004 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)



Computational Physics, Computer Algebra System