Auxiliaryequation method is extended and applied to 2-dimensional generalized dispersive long wave equations.
用辅助方程法构建二维广义色散长波方程的精确解。
2
By constructing a convergent power series solution of an auxiliaryequation, analytic solutions for the original equation are obtained.
讨论了一阶迭代微分方程解析解的存在性，通过构造一个辅助方程的幂级数解给出该方程的解析解。
3
Chapter 2: the advantages of auxiliaryequation method were described by giving the process of auxiliaryequation method to nonlinear equations and some auxiliary equations for it.