Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
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摘要
The integrability of a coupled KdV system is studied by prolongation technique and singularity analysis. As a result, Bäcklund transformation and linear spectral problem associated with this system are obtained. Some special solutions of the system are also proposed.
论文关键词：Prolongation structure,Linear spectral problem,Singularity analysis,Bäcklund transformation,Coupled KdV system
论文评审过程：Available online 16 February 2010.
论文官网地址：https://doi.org/10.1016/j.amc.2010.02.030
