(2+1)维破裂孤子方程的周期波解

Periodic Wave Solutions for (2+1)-Dimensional Breaking Soliton Equation

在齐次平衡法、双曲正切函数法和辅助方程法的基础上,利用辅助方程的椭圆函数周期解,得到了(2+1)维破裂孤子方程的大量的Jacobi椭圆函数形式的周期波解的精确表达式,同时,研究了极限情况,得到了方程的孤立波解。这种方法也可用于寻找其它非线性发展方程的新的精确解。

Based on homogeneous banlance method, tanh -function method and auxiliary equation method, plenty of exact periodic wave solutiona in terms of the Jacobi elliptic functions are obtained for （2 ＋ 1 ） - dimensional breaking soliton equation by using Jacobi elliptic periodic wave solutions of new auxiliary equations. Moreover, limit cases are studied, and solitary wave solutions are obtained. This method can be used to find new exact solutions to other nonlinear evolution equations.