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

B. S. Ahmed, R. M. Morris, E. V. Krishnan, P. G L Leach, Anjan Biswas

Research output: Contribution to journalArticle

5 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)2675-2681
Number of pages7
JournalApplied Mathematics and Information Sciences
Volume8
Issue number6
DOIs
Publication statusPublished - 2014

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Keywords

  • Lie point symmetry
  • Sharmo-tasso-olver equation
  • Shock-wave
  • Travelling-wave

ASJC Scopus subject areas

  • Applied Mathematics
  • Numerical Analysis
  • Analysis
  • Computer Science Applications
  • Computational Theory and Mathematics

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