The Drinfeld-sokolov Equations Of A Class Of Coupled Traveling Wave Solutions

In this paper, Generalized Drinfeld-Sokolov equations are studied. This paper includes four parts. In the first part, under condition (1.4), Generalized D-S equations are decoupled to Equation (1.6a~*) and give three parameteric condition (A), (B) and (C);In the second part, we present phase portraits of (1.6a~*) under condition (A) and (B);In the third part, under condition (C), portraits of (1.6a~*) are presented;At the last part, four types explicit formulas of solitary wave solutions, kink and anti-kind wave solution and periodic wave solutions of three parametric conditions are given.