Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity

Richard Morris; Abdul Hamid Hamid Kara; Anjan Biswas

doi:10.15388/NA.18.2.14019

Articles

Richard Morris

University of the Witwatersrand, South Africa

Abdul Hamid Hamid Kara

University of the Witwatersrand, South Africa

Anjan Biswas

Delaware State University, USA; King Abdulaziz University, Saudi Arabia

Published 2013-04-25

https://doi.org/10.15388/NA.18.2.14019

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Keywords

solitons
integrability
conservation laws

How to Cite

Morris, R., Kara, A.H.H. and Biswas, A. (2013) “Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity”, Nonlinear Analysis: Modelling and Control, 18(2), pp. 153–159. doi:10.15388/NA.18.2.14019.

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Abstract

This paper studies the Zakharov equation with power law nonlinearity. The traveling wave hypothesis is applied to obtain the 1-soliton solution of this equation. The multiplier method from Lie symmetries is subsequently utilized to obtain the conservation laws of the equations. Finally, using the exact 1-soliton solution, the conserved quantities are listed.

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