量子电子学报, 2014, 31 (5): 533, 网络出版: 2014-10-23
(2+1)维PotentialBoiti-Leon-Manna-Pempinelli方程的对称、约化和精确解
Symmetries, reductions and exact solutions of (2+1) dimensional potential Boiti-Leon-Manna-Pempinelli equation
经典李群法 PBLMP方程 对称、约化 精确解 classical Lie group method PBLMP equation symmetry reduction exact solutions
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。
Abstract
Using the classical Lie group method, the symmetries and reductions of (2+1)-dimensional potential Boiti-Leon-Manna-Pempinelli (PBLMP) equation were obtained. At the same time, a great many of solutions were derived by solving the reduction equations, including the rational functions, hyperbolic functions, trigonometric functions solution and Jacobi elliptic function solution.
刘勇, 刘希强, 王振立. (2+1)维PotentialBoiti-Leon-Manna-Pempinelli方程的对称、约化和精确解[J]. 量子电子学报, 2014, 31(5): 533. LIU Yong, LIU Xi-qiang, WANG Zhen-li. Symmetries, reductions and exact solutions of (2+1) dimensional potential Boiti-Leon-Manna-Pempinelli equation[J]. Chinese Journal of Quantum Electronics, 2014, 31(5): 533.
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