Bäcklund transformations and soliton solutions for the KdV6 equation
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摘要
Using Hirota technique, a Bäcklund transformation in bilinear form is obtained for the KdV6 equation. Furthermore, we present a modified Bäcklund transformation by a dependent variable transformation, it is shown that a new representation of N-soliton solution and some novel solutions to the KdV6 equation are derived by performing an appropriate limiting procedure on the known soliton solutions.
论文关键词:Bäcklund transformation,KdV6 equation,Bilinear method,Soliton solutions,Limiting solutions
论文评审过程:Available online 14 January 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2010.12.108