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(2+1)维非线性发展方程的非经典李点对称和精确解

张颖元 刘希强 王岗伟

井冈山大学学报(自然科学版)Issue(2):13-19,7.
井冈山大学学报(自然科学版)Issue(2):13-19,7.DOI:10.3969/J.issn.1674-8085.2013.02.003

(2+1)维非线性发展方程的非经典李点对称和精确解

NONCLASSICAL LIE POINT SYMMETRY AND EXACT SOLUTIONS OF THE (2+1)-DIMENSIONAL NONLINEAR EVOLUTION EQUATION

张颖元 1刘希强 1王岗伟1

作者信息

  • 1. 聊城大学数学科学学院,山东,聊城 252059
  • 折叠

摘要

Abstract

Employing the compatibility method and nonclassical Lie group method, we derive the nonclassical Lie point symmetry of the (2+1)-dimensional nonlinear evolution equation. Nonclassical similarity reductions of the nonlinear evolution equation are obtained by solving the corresponding characteristic equations associated with nonclassical symmetry equations. Some new exact solutions to this equation are presented.

关键词

非线性发展方程/非经典李点对称/相似约化/精确解

Key words

Nonlinear evolution equation/nonclassical Lie point symmetry/similarity reductions/exact solutions

分类

化学化工

引用本文复制引用

张颖元,刘希强,王岗伟..(2+1)维非线性发展方程的非经典李点对称和精确解[J].井冈山大学学报(自然科学版),2013,(2):13-19,7.

基金项目

Supported by National Natural Science Foundation of China and China Academy of Engineering Physics (NSAF:11076015) (NSAF:11076015)

井冈山大学学报(自然科学版)

1674-8085

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