用动力系统分支理论研究了Gardner方程,给出了分支参数空间以及许多孤立波解,扭子波解,在各种参数条件下,得到了所有显式的有界的精确的孤立波解和扭子波解。
By using the bifurcation theory of dynamical systems to Gardner equation, bifurcation parameter sets are shown. Numbers of solitary waves and kink waves are given. Under various parameter conditions, all explicit formulas of solitary wave solutions and kink wave solutions are obtained.