The tanh method .1. Exact solutions of nonlinear evolution and wave equations

被引：818

作者：

Malfliet, W ^{[1
]}

Hereman, W ^{[1
]}

机构：

[1] COLORADO SCH MINES,DEPT MATH & COMP SCI,GOLDEN,CO 80401

来源：

PHYSICA SCRIPTA | 1996年 / 54卷 / 06期

关键词：

D O I：

10.1088/0031-8949/54/6/003

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A systemized version of the tanh method is used to solve particular evolution and wave equations. If one deals with conservative systems, one seeks travelling wave solutions in the form of a finite series in tanh. If present, boundary conditions are implemented in this expansion. The associated velocity can then be determined a priori, provided the solution vanishes at infinity. Hence, exact closed form solutions can be obtained easily in various cases.

引用

页码：563 / 568

页数：6

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