J4 ›› 2014, Vol. 31 ›› Issue (5): 533-540.

• 量子物理 • 上一篇    下一篇

(2+1)维Potential Boiti-Leon-Manna-Pempinelli方程的对称、约化和精确解

刘勇,刘希强,王振立   

  1. 聊城大学数学科学学院,山东 聊城 252059
  • 收稿日期:2013-11-13 修回日期:2014-09-05 出版日期:2014-09-28 发布日期:2014-09-17
  • 通讯作者: 刘希强 (1957-)山东人,教授,博士,从事非线性发展方程系统。 E-mail:liuxq@sina.com
  • 作者简介:刘勇 (1982-)山东人,研究生,从事非线性发展方程求解的研究。E-mail:liuyong0616@163.com
  • 基金资助:
    国家自然科学基金委员会-中国工程物理研究院联合基金(11076015)资助课题

Symmetries, reductions and exact solutions of (2+1) dimensional Potential Boiti-Leon-Manna-Pempinelli equation

Liu Yong,Liu Xi-Qiang,Wang Zhen-Li   

  1. School of Mathematical Sciences, Liaocheng University, Liaocheng 252059, China
  • Received:2013-11-13 Revised:2014-09-05 Published:2014-09-28 Online:2014-09-17

摘要: 利用经典李群法得到了(2+1)维Potential Boiti-Leon-Manna-Pempinelli (简称PBLMP )方程的对称、约化,通过解约化方程得到了该方程的一些精确解,包括有理函数解,双曲函数解,三角函数解, Jacobi椭圆函数解.

关键词: 经典李群法,PBLMP方程,对称、约化,精确解  

Abstract: Using the classical Lie group method, the symmetries and the reductions of (2+1)-Dimensional Potential Boiti-Leon-Manna-Pempinelli (PBLMP for short) equation are obtained. At the same time, a great many of solutions are derived by solving the reduction equations, including the rational functions, hyperbolic functions, the trigonometric functions solution and Jacobi elliptic function solution.

Key words: the classical Lie group method, the PBLMP equation, symmetry reduction, exact solutions