Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity
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 e...
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Vilnius University Press
2013-04-01
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| Series: | Nonlinear Analysis |
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| Online Access: | http://www.journals.vu.lt/nonlinear-analysis/article/view/14019 |
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doaj-f689995810f74b439b1e5304e3e41ede2020-11-25T01:29:36ZengVilnius University PressNonlinear Analysis1392-51132335-89632013-04-01182Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearityRichard Morris0Abdul Hamid Kara1Anjan Biswas2University of the Witwatersrand, South AfricaUniversity of the Witwatersrand, South AfricaDelaware State University, USA; King Abdulaziz University, Saudi Arabia 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. http://www.journals.vu.lt/nonlinear-analysis/article/view/14019solitonsintegrabilityconservation laws |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Richard Morris Abdul Hamid Kara Anjan Biswas |
| spellingShingle |
Richard Morris Abdul Hamid Kara Anjan Biswas Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity Nonlinear Analysis solitons integrability conservation laws |
| author_facet |
Richard Morris Abdul Hamid Kara Anjan Biswas |
| author_sort |
Richard Morris |
| title |
Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity |
| title_short |
Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity |
| title_full |
Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity |
| title_fullStr |
Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity |
| title_full_unstemmed |
Soliton solution and conservation laws of the Zakharov equation in plasmas with power law nonlinearity |
| title_sort |
soliton solution and conservation laws of the zakharov equation in plasmas with power law nonlinearity |
| publisher |
Vilnius University Press |
| series |
Nonlinear Analysis |
| issn |
1392-5113 2335-8963 |
| publishDate |
2013-04-01 |
| description |
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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| topic |
solitons integrability conservation laws |
| url |
http://www.journals.vu.lt/nonlinear-analysis/article/view/14019 |
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