【摘要】 本文在齐次平衡法、双曲正切函数法和辅助方程法的基础上引入一类新的辅助方程,并借助符号计算系统Mathematica来构造了(2+1)维色散长波方程组和组合KdV-Burgers方程的新的精确孤立波解。这种方法也可用于寻找其它非线性发展方程的新的精确孤立波解。更多还原

【Abstract】 Based on the homogeneous balance method,the tanh-function method and the auxiliary equation method and with the aid of computer algebraic system“Mathematica”,new types of exact solitary wave solutions of the 2+1D dispersive long-wave equations and combined KdV-Burgers equa- tion are constructed by using a new auxiliary equation.This method can be used to find new solitary wave solutions to other nonlinear evolution equations.更多还原