经典的Drinfel'd-Sokolov-Wilson方程 的精确行波解

打开文本图片集
Abstract:Both Riccati-expansion method and F-expansion method are used to obtain the exact traveling wave solution of theclassical Drinfel'd-Sokolov-Wilson(DSW) equation in various forms. The results show that the solutions obtained by F-expansion method are richer than those by Riccati-expansion method.
Keywords:clasical Drinfel'd-Sokolov-Wilson equation;Riccati-expansion method;F-expansion method;exact traveling wave solution
1预备知识
经典的 Drinfel ′d. -Sokolov-Wilson(DSW)方程是一类重要的浅水波方程[1-2],其形式为
式(1)中: ϕ⋅q⋅r 和 s 都是非零常数。(剩余6036字)