(2+1)-维广义Benney-Luke方程的精确行波解

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基金项目: 国家自然科学基金资助项目(10671179,10772158)

Exact Traveling Wave Solutions for the 2D-Generalized Benney-Luke Equation

1.
Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China;

摘要: 用平面动力系统方法研究(2+1)-维广义Benney-Luke方程的精确行波解，获得了该方程的扭波解,不可数无穷多光滑周期波解和某些无界行波解的精确的参数表达式，以及上述解存在的参数条件．
- 扭波解 /
- 周期波解 /
- 无界行波解 /
- 非线性波方程 /
- 动力系统方法
Abstract: By using the method of dynamical systems to the 2D-generalized Benney-Luke equation, the existence of kink wave solutions and uncountably infinite many smooth perio dic wave solutions is shown. Explicitexact parametric representations for the kink wave solutions, periodic wave solutions and unbo unded traveling wave solutionsare obtained.
- kink wave solution /
- periodic wave solution /
- unbounded wave solution /
- nonlinear wave equation /
- dynamical system method

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