Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions

LIU Ping

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LIU Ping. Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 361-368.

Citation:

LIU Ping. Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 361-368.

Citation:

LIU Ping. Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions[J]. Applied Mathematics and Mechanics, 2008, 29(3): 361-368.

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Darboux Transformation of Generalized Coupled KdV Soliton Equation and Its Odd-Soliton Solutions

LIU Ping

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

Received Date: 2007-09-28
Rev Recd Date: 2008-01-16
Publish Date: 2008-03-15

Abstract

Abstract

Based on the resulting Lax pairs of generalized coupled KdV soliton equation, a new Darboux transformation with multi-parameters for 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 ceneralized coupled KdV soliton equation are given and presented in determinant form. As an application, the first two cases are given.
- Darboux transformation,
- soliton equation,
- odd-soliton solution,
- gauge transformation

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References(9)

References

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