Study of the New Solitory Wave Solutions and Periodic Wave Solutions of a Two-Dimensional Modified KdV Equation-Reference-Cited by-同舟云学术

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Study of the New Solitory Wave Solutions and Periodic Wave Solutions of a Two-Dimensional Modified KdV Equation

Published:2013-09 Issue: Volume:432 Page:122-126
ISSN:1662-7482
Container-title:Applied Mechanics and Materials
language:
Short-container-title:AMM

Author:

Gu Mei Ling¹,Zhu Zhi Hua¹,Ma Song Hua¹

Affiliation:

1. Zhejiang Lishui University

Abstract

With the help of the Riccati mapping approach and the variable separation method, some new solitory wave solutions and periodic wave solutions of the two-dimensional modified KdV(MKdV) equation are derived.

Publisher

Trans Tech Publications, Ltd.

Link

https://www.scientific.net/AMM.432.122.pdf

Reference20 articles.

1. J.P. Fang, C.L. Zheng, J.M. Zhu and Q.B. Ren: New family of excit solutions and chaotic solitons of generalized Breor-Kaup system in (2+1)-dimensions via an extended mapping approach. Commun Theor Phys(2005)44(2): 203-208.

2. S.Y. Lou and X.B. Hu: Infinitely Many Lax Pairs and Symmetry Constraints of the KP Equation. Journal of Mathematical Physics(1997)38(6): 183-189.

3. P.A. Clarkson and M.D. Kruskal: New Similarity Reductions of the Boussinesq Equation, Journal of Mathematical Physics(1989)30(10)352-358.

4. S.Y. Lou and X.Y. Tang, Conditional Similarity Reduction Approach: Jimbo-Miwa equation, Chinese Physics B(2001)10(10): 887-893.

5. D.J. Zhang: The N-Soliton Solutions of Some Soliton Equations with Self-Consistent Sources, Chaos, Solitons and Fractals(2003)18(1)31-43.

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