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...

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)

摘要
现有文献已报道双曲正切函数法（tanh-function method）的多种扩展形式及其实现方案，用于求解非线性偏微分方程（partial differential equations, PDEs）的显式行波解。但现有此类工具包常会遗漏部分解。本文提出一种用于求解单个非线性偏微分方程的新算法及其名为TWS的实现程序。该程序基于Maple 10平台开发。研究表明，对于平衡数非正整数的偏微分方程，TWS……

程序名称：TWS
目录编号：AEAM_v1_0

问题属性
求解单个非线性偏微分方程的行波解

孟德尔数据（Mendeley Data）中CPC程序库收录的本程序版本：
AEAM_v1_0; TWS; 10.1016/j.cpc.2007.12.004

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019年）