Automatic computation of the travelling wave solutions to nonlinear PDEs
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http://doi.org/10.17632/b2ks7tfpbs.1
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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
关于tanh函数方法的多种扩展及其在求解非线性偏微分方程（PDEs）的显式行波解方面的实现，已有文献报道。然而，这些程序常常会遗漏一些解。在本文中，提出了一种新的算法及其实现，称为TWS，用于求解单个非线性PDE。TWS在Maple 10中实现。结果表明，对于平衡数非正整数的PDEs，TWS...
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