【摘要】 用动力系统分支理论研究了Drinfeld-Sokolov方程,证明了该方程存在扭子波,反扭子波,孤立波和无穷多光滑周期波解,获得了在不同参数条件下上述解存在的充分条件,并给出了上述解的精确表达式.更多还原

【Abstract】 By using the bifurcation theory of planar dynamical systems to Drinfeld-Sokolov equations,the existence of kink wave,anti-kink wave solutions,solitary wave solutions and periodic wave solutions is proved.Under different parametric conditions,various sufficient conditions to guarantee the existence of the above solutions are given.Moreover,some exact explicit parametric representations of above solutions are given.更多还原