NEW EXACT SOLUTIONS OF THE KAUP KUPERSHMIDT EQUATION RELATED TO A NON LOCAL SYMMETRY
NEW EXACT SOLUTIONS OF THE KAUP KUPERSHMIDT EQUATION RELATED TO A NON LOCAL SYMMETRY
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DOI：
10.7498/aps.46.1249
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发表时间：
1997-07
影响因子：
1
通讯作者：
H. Ping;Lou Sen-yue
中科院分区：
文献类型：
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作者：
H. Ping;Lou Sen-yue
利用Kaup - Kupershmidt （KK）方程的非局部对称性，用两种不同的方法求出新的精确解。首先，利用标准推广方法，得到了KK方程的有限Lie - Ba¨cklund变换和单孤子解。其次，结合局部对称性和非局部对称性，得到了KK方程的群不变解和新的孤子解。
Abstract Using a non local symmetry of the Kaup Kupershmidt (KK) equation, we find a new exact solution in two different ways. Firstly, using the standard prolongation approach, we obtain the finite Lie Ba¨cklund transformation and the single soliton solution of the KK equation. Secondly,combining some local symmetries and the nonlocal symmetry, we get the group invariant solution and obtain the new soliton solution of the KK equation.