摘要
为了求非线性发展方程的孤立波解,提出了齐次平衡法的扩展应用.在此基础上,得到2+1维耗散长波方程组的椭圆周期解.这种方法也可用于求大量非线性发展方程的精确解.
The extended homogenous balance method is applied to find solitary wave solutions of nonlinear evolution equations. Some new exact elliptic periodic solutions of the dispersive long wave equations in 2 + 1 dimensions are obtained by using the method. This method also can be applied to find exact solutions of a lot of nonlinear evolution equations.
出处
《河北师范大学学报(自然科学版)》
CAS
北大核心
2006年第3期263-265,270,共4页
Journal of Hebei Normal University:Natural Science
基金
山东省自然科学基金资助项目(2004ZX16)
关键词
齐次平衡法
椭圆周期解
2+1维耗散长波方程组
homogenous balance method
elliptic periodic solutions
dispersive long wave equations in 2 + 1 dimensions