Explicit Solutions to the Coupled KdV Equations with Variable Coefficients

XU Gui-qiong; LI Zhi-bin

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XU Gui-qiong, LI Zhi-bin. Explicit Solutions to the Coupled KdV Equations with Variable Coefficients[J]. Applied Mathematics and Mechanics, 2005, 26(1): 92-98.

Citation:

XU Gui-qiong, LI Zhi-bin. Explicit Solutions to the Coupled KdV Equations with Variable Coefficients[J]. Applied Mathematics and Mechanics, 2005, 26(1): 92-98.

Citation:

XU Gui-qiong, LI Zhi-bin. Explicit Solutions to the Coupled KdV Equations with Variable Coefficients[J]. Applied Mathematics and Mechanics, 2005, 26(1): 92-98.

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Explicit Solutions to the Coupled KdV Equations with Variable Coefficients

XU Gui-qiong¹,
LI Zhi-bin²

1.
Department of Information Administration, Shanghai University, Shanghai 200436, P. R. China;

Received Date: 2002-11-08
Rev Recd Date: 2004-10-14
Publish Date: 2005-01-15

Abstract

Abstract

By means of sn-function expansion method and cn-function expansion method,several kinds of explicit solutions to the coupled KdV equations with variable coefficients are obtained,which include three sets of periodic wave-like solutions.These solutions degenerate to solitary wave-like solutions at a certain limit.Some new solutions are presented.
- cn-function method,
- sn-function method,
- periodic wave-like solution,
- solitary wave-like solution,
- coupled KdV equations with variable coefficient

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References(13)

References

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