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.

• 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。