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Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions

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Abstract

Based on the resulting Lax pairs of the generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for the generalized coupled KdV soliton equation is derived with the help of a gauge transformation of the spectral problem. By using Darboux transformation, the generalized odd-soliton solutions of the generalized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.

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Authors and Affiliations

  1. Department of Applied Mathematics, School of Mathematics and Statistics, Southwest University, Chongqing, 400715, P. R. China

    Ping Liu

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  1. Ping Liu
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Correspondence to Ping Liu.

Additional information

Communicated by ZHOU Zhe-wei

Project supported by the Science Fundation for Young Teachers of Southwest University (No. SWUQ2006028)

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Liu, P. Darboux transformation of generalized coupled KdV soliton equation and its odd-soliton solutions. Appl. Math. Mech.-Engl. Ed. 29, 399–407 (2008). https://doi.org/10.1007/s10483-008-0311-y

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  • DOI: https://doi.org/10.1007/s10483-008-0311-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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