Classification and Approximate Solutions to a class of Perturbed Nonlinear Wave Equations

被引：1

作者：

Zhang Zhi-Yong ^{[1
]}

Chen Yu-Fu ^{[1
]}

Yong Xue-Lin ^{[2
]}

机构：

[1] Chinese Acad Sci, Sch Math Sci, Grad Univ, Beijing 100049, Peoples R China

[2] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China

来源：

COMMUNICATIONS IN THEORETICAL PHYSICS | 2009年 / 52卷 / 05期

关键词：

approximate symmetry; Lie reduction; approximate solution; PARTIAL-DIFFERENTIAL-EQUATIONS; CONDITIONAL SYMMETRIES; HEAT-EQUATION;

D O I：

暂无

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A complete approximate symmetry classification of a class of perturbed nonlinear wave equations is performed using the method originated from Fushchich and Shtelen. Moreover, large classes of approximate invariant solutions of the equations based on the Lie group method are constructed.

引用

页码：769 / 772

页数：4

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