SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF <i>G'/G</i> EXPANSION METHOD

Marwan Alquran; Aminah Qawasmeh

doi:10.11948/2014010

2014 Volume 4 Issue 3

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Marwan Alquran, Aminah Qawasmeh. SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF G'/G EXPANSION METHOD[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 221-229. doi: 10.11948/2014010

Citation:

Marwan Alquran, Aminah Qawasmeh. SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF G'/G EXPANSION METHOD[J]. Journal of Applied Analysis & Computation, 2014, 4(3): 221-229. doi: 10.11948/2014010

SOLITON SOLUTIONS OF SHALLOW WATER WAVE EQUATIONS BY MEANS OF G'/G EXPANSION METHOD

Department of Mathematics and Statistics, Jordan University of Science and Technology, P. O. Box(3030), Irbid 22110, Jordan

Abstract

Abstract

In this work, we investigate the traveling wave solutions for some generalized nonlinear equations:The generalized shallow water wave equation and the Whitham-Broer-Kaup model for dispersive long waves in the shallow water small-amplitude regime. We use the G'/G expansion method to determine different soliton solutions of these models. The conditions of existence and uniqueness of exact solutions are also presented.
- Shallow water wave equations /
- G'/G expansion method
MSC: 74J35;35G20

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References

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