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*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

6 اقتباسات (Scopus)

ملخص

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.

اللغة الأصليةEnglish
الصفحات (من إلى)2675-2681
عدد الصفحات7
دوريةApplied Mathematics and Information Sciences
مستوى الصوت8
رقم الإصدار6
المعرِّفات الرقمية للأشياء
حالة النشرPublished - 2014

ASJC Scopus subject areas

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بصمة

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