用辅助方程法构建二维广义色散长波方程的精确解。
Auxiliary equation method is extended and applied to 2-dimensional generalized dispersive long wave equations.
第二章分析了辅助方程法求解非线性方程的过程并给出了一些辅助方程的解，进而阐述了辅助方程法的一些优点。
Chapter 2: the advantages of auxiliary equation method were described by giving the process of auxiliary equation method to nonlinear equations and some auxiliary equations for it.
采用引进具有二阶连续可微的辅助函数，将非线性不等式组转化为非线性方程组，然后利用牛顿迭代法对非线性方程组进行求解。
In is established the equivalence between the nonlinear inequalities with nonlinear equations by using auxiliary function, a descended Newton algorithm is proposed.
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