Shock-Waves and other Solutions to the Sharma- Tasso-Olver Equation with Lie Point Symmetry and Travelling-Waves Approach

Authors

B. S. Ahmed, Department of Mathematics, College of Girls, Ain Shams University, Cairo, Egypt
R. M. Morris
E. V. Krishnan
P. G. L. Leach
Anjan Biswas

Author Country (or Countries)

Egypt

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.

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080603

Recommended Citation

S. Ahmed, B.; M. Morris, R.; V. Krishnan, E.; G. L. Leach, P.; and Biswas, Anjan (2014) "Shock-Waves and other Solutions to the Sharma- Tasso-Olver Equation with Lie Point Symmetry and Travelling-Waves Approach," Applied Mathematics & Information Sciences: Vol. 08: Iss. 6, Article 3.
DOI: http://dx.doi.org/10.12785/amis/080603
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss6/3