Connections among homogeneous balance method, Weiss-Tabor-Carnevale method and Clarkson-Kruskal method

被引：83

作者：

Fan, EG ^{[1
]}

机构：

[1] Fudan Univ, Inst Math, Shanghai 200433, Peoples R China

来源：

ACTA PHYSICA SINICA | 2000年 / 49卷 / 08期

关键词：

homogeneous balance method; WTC method; CK reduction method;

D O I：

10.7498/aps.49.1409

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The homogeneous balance method is extended to search for the Backlund transformations and similarity reductions of nonlinear mathematical and physical equations. The corresponding results coincide with those of Weiss-Tabor-Carnevale method and Clarkson-Kruskal method respectively. It is shown that there exist close relations among these three methods.

引用

页码：1409 / 1412

页数：4

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