The generalized Wronskian solutions of a inverse KdV hierarchy
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摘要
A hierarchy of the inverse KdV equation is discussed. Through the bilinear form of Lax pairs, we prove a generalized Darboux–Crum theorem of the hierarchy. The Bäcklund transformation and the generalized Wronskian solutions are presented. The soliton solutions, explicit rational solutions are obtained then.
论文关键词:Inverse KdV equation,Darboux–Crum theorem,Bäcklund transformation,Generalized Wronskian solutions,Soliton solutions,Rational solutions
论文评审过程:Available online 31 July 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.07.014