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Darboux Transformation for Drinfel'd-Sokolov-Wilson Equation
Authors:NIU Xiao-Xing  LIU Qing-Ping
Affiliation:Department of Mathematics, China University of Mining and Technology, Beijing 100083, China
Abstract:A coupled system known as the Drinfel'd-Sokolov-Wilson equation is reexamined. With the help of a Lax operator of fourth order, its proper Darboux transformation is constructed. Also, a nonlinear superposition formula is worked out for the associated Bäcklund transformation and some solutions are calculated.
Keywords:Darboux transformation  Bäcklund transformation  nonlinear superposition formula  
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