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Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity
Journal article   Open access  Peer reviewed

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

Richard Morris, Abdul Hamid Kara and Anjan Biswas
Nonlinear analysis (Vilnius, Lithuania), Vol.18(2), pp.153-159
25/04/2013
DOI: https://doi.org/10.15388/NA.18.2.14019

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Mechanics Physical Sciences Science & Technology Technology
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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https://doi.org/10.15388/NA.18.2.14019View
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