Shock-waves and other solutions to the Sharma-Tasso-Olver equation with Lie point symmetry and travelling-waves approach

Bouthina Ahmed ; Morris, R.M. ; Krishnan, E.V. ; Leach, P.G.L. ; Biswas, A. 


Abstract


This paper addresses the Sharma-Tasso-Olver equation from an integrability perspective. There are three integration tools that are applied to extract the solutions to this nonlinear evolution equation. The ansatz method is applied to the generalised equation with power-law nonlinearity to obtain shock-wave solutions. Subsequently, the traveling-wave hypothesis leads to another set of solutions in the complex domain. Finally, Lie symmetry analysis leads to a third set of solutions. Several constraint conditions emerge from the various analyses. © 2014 NSP Natural Sciences Publishing Cor.


Other data

Issue Date 2014
Journal Applied Mathematics and Information Sciences 
URI http://research.asu.edu.eg/handle/123456789/2452
DOI 6
2675
http://www.scopus.com/inward/record.url?eid=2-s2.0-84904546232&partnerID=MN8TOARS
8
10.12785/amis/080603


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