A generalized expansion method for nonlinear wave equations

Lin, Qun; Wu, Yong Hong; Loxton, Ryan

doi:http://doi.org/10.1088/1751-8113/42/4/045207

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Open access

Authors

Lin, Qun

Wu, Yong Hong

Loxton, Ryan

Date

2009

Type

Journal Article

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Abstract

A generalized Jacobian/exponential expansion method for finding the exact traveling wave solutions of a nonlinear partial differential equation is discussed. We use this method to construct many new, previously undiscovered exact solutions for the Boussinesq and modified KdV equations. We also apply it to the shallow long wave approximate equations. New solutions are deduced for this system of partial differential equations.

Citation

Lin, Qun and Wu, Yong Hong and Loxton, Ryan. 2009. A generalized expansion method for nonlinear wave equations. Journal of Physics A: Mathematical and Theoretical. 42 (4): pp. 045207-1 - 045207-30.

Source Title

Journal of Physics A: Mathematical and Theorectical

URI

http://hdl.handle.net/20.500.11937/25582

DOI

http://doi.org/10.1088/1751-8113/42/4/045207

Department

Department of Mathematics and Statistics

Remarks

This is an author-created, un-copyedited version of an article accepted for publication in Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at http://doi.org/10.1088/1751-8113/42/4/045207

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