摘要
利用经典李群方法,得到(2+1)维Kadomtsov-Petviashvili-Joseph-Egri方程的经典李点对称,并利用对称得到该方程的一些相似约化,通过求解约化方程,得到了该方程的很多精确解,包括双曲函数解,雅可比椭圆函数解,三角函数解,有理函数解,幂级数解等。
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.
出处
《井冈山大学学报(自然科学版)》
2014年第2期7-13,共7页
Journal of Jinggangshan University (Natural Science)
基金
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)