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Exact solutions for KdV system equations hierarchy
Authors:Tong-ke Ning  Chong-feng Wu  Da-jun Zhang
Institution:1. Antai College of Economic and Management, Shanghai JiaoTong University, Shanghai 200030, PR China;2. Science College, University of Shanghai for Science and Technology, Shanghai 200093, PR China;3. Department of Mathematics, Shanghai University, Shanghai 200433, PR China
Abstract:Exact solutions for KdV system equations hierarchy are obtained by using the inverse scattering transform. Exact solutions of isospectral KdV hierarchy, nonisospectral KdV hierarchies and ττ-equations related to the KdV spectral problem are obtained by reduction. The interaction of two solitons is investigated.
Keywords:Exact solutions  KdV system equations hierarchy  Isospectral KdV hierarchy  Nonisospectral KdV hierarchy  ττ-equations" target="_blank">gif" overflow="scroll">τ-equations  Inverse scattering transform
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