Advanced search
Publication Cover
Waves in Random and Complex Media Volume 21, 2011 - Issue 2
Submit an article Journal homepage
283
Views
22
CrossRef citations to date
0
Altmetric
Original Articles

Soliton solutions and conservation laws of the Gilson–Pickering equation

Ghodrat Ebadi Faculty of Mathematical Sciences, University of Tabriz, Tabriz 51666-14766, Iran
,
A.H. Kara School of Mathematics, University of the Witwatersrand, Johannesburg, Wits 2050, South Africa
,
Marko D. Petković Department of Mathematics and Computer Science, Faculty of Science and Mathematics, University of Niš, Višegradska 33, Niš 18000, Serbia
&
Anjan Biswas Applied Mathematics Research Center, Center for Research and Education in Optical Sciences and Applications, Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USACorrespondence[email protected]
Pages 378-385 | Received 18 Jan 2011, Accepted 28 Feb 2011, Published online: 28 Mar 2011
 
Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days

Abstract

This paper obtains the soliton solutions of the Gilson–Pickering equation. The G′/G method will be used to carry out the solutions of this equation and then the solitary wave ansatz method will be used to obtain a 1-soliton solution of this equation. Finally, the invariance and multiplier approach will be applied to recover a few of the conserved quantities of this equation.

Acknowledgements

The third author (Marko D. Petković) gratefully acknowledges support from research project 144011 of the Serbian Ministry of Science. The research of the fourth author (AB) was fully supported by an NSF-CREST Grant (No. HRD-0630388) and the support is genuinely and sincerely appreciated.

Log in via your institution

Access through your institution

Log in to Taylor & Francis Online

Restore content access

Restore content access for purchases made as guest
Purchase options * Save for later

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 552.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.