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
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)