广义水波方程组行波解的分支

摘要

The bifurcation of travelling wave solutions for the generalized water wave equations are studied by using the bifurcation theory of planar dynamical systems.Under various parameter conditions,all exact explicit formulas of solitary wave solutions and kink(anti-kink) wave solutions and uncountable infinity many periodic wave solutions are listed.%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.在固定的参数条件下给出广义水波方程组的孤立波、扭结(反扭结)波解的精确表达式,并证明该方程组存在不可数无穷多个周期波解.