Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System - Applied Mathematics

AM > Vol.6 No.1, January 2015

Applied Mathematics

Volume 6, Issue 1 (January 2015)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.58 Citations

Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System ()

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DOI: 10.4236/am.2015.61003 5,673 Downloads 6,772 Views Citations

Author(s)

Tiantian Xu

Affiliation(s)

College of Science, University of Shanghai for Science and Technology, Shanghai, China.

ABSTRACT

Through a variable transformation, the Whitham-Broer-Kaup system is transformed into a parameter Levi system. Based on the Lax pair of the parameter Levi system, the N-fold Darboux transformation with multi-parameters is constructed. Then some new explicit solutions for the Whitham-Broer-Kaup system are obtained via the given Darboux transformation.

KEYWORDS

Whitham-Broer-Kaup Equation, Levi Parameter System, Lax Pair, Darboux Transformation, Soliton Solutions

Share and Cite:

Xu, T. (2015) Darboux Transformation and New Multi-Soliton Solutions of the Whitham-Broer-Kaup System. Applied Mathematics, 6, 20-27. doi: 10.4236/am.2015.61003.

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