量子电子学报, 2012, 29 (1): 21, 网络出版: 2012-01-16
对称正则长波方程组的对称,精确解和守恒律
Exact solutions and conservation laws of symmetric regularized long wave equations
非线性发展方程 精确解 守恒律 修正的CK直接约化方法 nonlinear evolution equation exact solutions conservation laws modified CK’s direct reduction method
摘要
通过利用修正的CK直接约化方法,建立了对称正则长波(SRLW)方程组的对称群理论。 利用对称群理论建立了SRLW方程组的新旧解之间的关系,利用SRLW方程组的旧解得到了它们新的精确解。 基于上述理论和SRLW方程组共轭方程组的解, 得到了SRLW方程组的守恒律。
Abstract
By using the modified direct reduction method presented by Clarkson and Kruskal, the symmetry group theorem of symmetric regularized long wave (SRLW) equations are derived. Some new exact solutions of SRLW equations are obtained by applying the theorem and given solutions. Conservation laws of the equations are also obtained with the corresponding Lie symmetry.
陈美, 刘希强, 王猛. 对称正则长波方程组的对称,精确解和守恒律[J]. 量子电子学报, 2012, 29(1): 21. CHEN Mei, LIU Xi-qiang, WANG Meng. Exact solutions and conservation laws of symmetric regularized long wave equations[J]. Chinese Journal of Quantum Electronics, 2012, 29(1): 21.
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