Solitary wave solutions to some classes of nonlinear evolution type equations using inverse variational methods

被引：4

作者：

Kara, A. H. ^{[1
]}

机构：

[1] Univ Witwatersrand, Sch Math, ZA-2050 Johannesburg, Johannesburg, South Africa

[2] Univ Witwatersrand, Ctr Differential Equat Continuum Mech & Applicat, ZA-2050 Johannesburg, Johannesburg, South Africa

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2007年 / 67卷 / 11期

关键词：

nonlinear evolution equations; inverse variational methods;

D O I：

10.1016/j.na.2006.10.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Invariants of reduced forms of a p.d.e. are obtainable from a variational principle even though the p.d.e. itself does not admit a Lagrangian. The reductions carry all the advantages regarding Noether symmetries and double reductions via first integrals or conserved quantities. The examples we consider are nonlinear evolution type equations like the general form of the Fizhugh-Nagumo and KdV-Burgers equations. Some aspects of Painleve properties of the reduced equations are also obtained. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：3194 / 3198

页数：5

共 9 条

[1]

[Anonymous], INVARIANT VARIATIONA

[2]

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