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2014 | 125 | 5 | 1099-1107
Article title

Soliton Solution and Conservation Law of Gear-Grimshaw Model for Shallow Water Waves

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Languages of publication
EN
Abstracts
EN
This paper is going to obtain the soliton solution of the Gear-Grimshaw model that describes the dynamics of two-layered shallow water waves in oceans and rivers. The topological 1-soliton solution will be obtained by the ansatz method. There are several constraint conditions that will be taken care of. This will be followed by the model with power law nonlinearity. Subsequently, the conservation laws for this model will be derived by the aid of multiplier approach from the Lie symmetry analysis. Finally, the F-expansion method will extract a few more interesting solutions to the model.
Keywords
EN
Publisher

Year
Volume
125
Issue
5
Pages
1099-1107
Physical description
Dates
published
2014-05
received
2013-12-04
Contributors
author
  • Radiation Physics Laboratory, Department of Physics, Faculty of Sciences, Badji Mokhtar University P.O. Box 12, 23000 Annaba, Algeria
author
  • School of Mathematics, Centre for Differential Equations Continuum Mechanics and Applications University of the Witwatersrand, Johannesburg, Wits 2050, South Africa
author
  • Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  • Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt
author
  • Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
  • Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA
References
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Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv125n506kz
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