Darboux Transformation and Explicit Solutions for Drinfel'd-Sokolov-Wilson Equation

作者：Geng Xian Guo^*; Wu Li Hua

来源：Communications in Theoretical Physics, 2010, 53(6): 1090-1096.

DOI：10.1088/0253-6102/53/6/20

• Drinfel'd-Sokolov-Wilson equation
• Darboux transformation
• explicit solutions

A generalized Drinfel'd-Sokolov-Wilson (DSW) equation and its Lax pair are proposed. A Darboux transformation for the generalized DSW equation is constructed with the help of the gauge transformation between spectral problems, from which a Darboux transformation for the DSW equation is obtained through a reduction technique. As an application of the Darboux transformations, we give some explicit solutions of the generalized DSW equation and DSW equation such as rational solutions, soliton solutions, periodic solutions.

• 出版日期2010-6
• 单位郑州大学