经典的Drinfel'd-Sokolov-Wilson方程 的精确行波解

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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）