井冈山大学学报（自然科学版）Issue(2)：7-13,7.DOI:10.3969/j.issn.1674-8085.2014.02.002
（2+1）维Kadomtsov-Petviashvili-Joseph-Egri方程的李对称分析和精确解
LIE SYMMETRY ANALYSIS AND EXACT SOLUTION OF (2+1)-DIMENSIONAL KADOMTSOV-PETVIASHVILI-JOSEPH-EGRI EQUATION
摘要
Abstract
Based on the classical Lie group method, we obtain the classical Lie point symmetry of the (2+1)-dimensional Kadomtsov-Petviashvili-Joseph-Egri (KP-JE for short) equation. Using the symmetries, we find some classical similarity reductions of KP-JE equation. Many kinds of exact solutions of the KP-JE equation are derived by solving the reduced equations, including the elliptic functions , the rational functions,the hyperbolic functions, the trigonometric functions, the power series solution.关键词
经典李群方法/(2+1)维Kadomtsov-Petviashvili-Joseph-Egri方程/精确解/对称/约化Key words
classical Lie group method/(2+1)-dimensional KP-JE equation/exact solutions/symmetry/reduction分类
数理科学引用本文复制引用
李宁,刘希强..（2+1）维Kadomtsov-Petviashvili-Joseph-Egri方程的李对称分析和精确解[J].井冈山大学学报（自然科学版）,2014,(2):7-13,7.基金项目
国家自然科学基金和中国工程物理研究院联合基金项目(11076015) （11076015）
