摘要
运用经典对称方法解决广义四阶色散方程问题,得到对称约化和群不变解,包括双曲函数解,三角周期解和孤立子解,最后得出该问题的守恒律。
By applying the direct symmetry method to a generalized fourth-order dispersive equation,the symmetry reductions,group invariant solutions of this equation were obtained,which included hyperbolic function solutions,trigonometric function solutions and soliton solutions.At last,the conservation laws of this equation were given.
出处
《量子电子学报》
CAS
CSCD
北大核心
2014年第3期264-272,共9页
Chinese Journal of Quantum Electronics
基金
Supported by the National Natural Science Foundation of China and China Academy of Engineering Physics(11076015)
关键词
非线性方程
孤立子解
李点对称
对称约化
守恒律
nonlinear equation
soliton solution
Lie point symmetry groups
symmetry reduction
conservation laws
