In some simple conditions, all possible exact explicit travelling wave solutions are given.
在一些简单条件下，给出了所有可能的精确的解析行波解。
The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.
应用动力系统分支理论，研究广义水波方程组行波解的分支。
The exact and explicit solutions of these equations are obtained by using the travelling wave method. These exact solutions are solitary wave solutions of a rational type.
用行波方法得到了这些方程的显式精确解，即有理分式型孤立波解。
More explicit travelling wave solutions can be obtained by using this method to solve other nonlinear travelling wave equations.
将该方法应用于其它非线性波方程(组)中，可获得更多的显式行波解。
By constructing proper upper-lower solutions, the existence of travelling wave solutions was proved.
通过构造适当的上下解，证明行波解的存在性。
Some Exact Travelling Wave Solutions Of The Generalized Seventieth Order KdV Equation By The Fractionary Deforming Method;
计算结果表明，分数形变映射法可以十分有效，它是非线性复杂方程的求解特殊新方法之一。
Some Exact Travelling Wave Solutions Of The Generalized Seventieth Order KdV Equation By The Fractionary Deforming Method;
计算结果表明，分数形变映射法可以十分有效，它是非线性复杂方程的求解特殊新方法之一。
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