Traveling waves in rational expressions of exponential functions to the conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations

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KORKMAZ A., ERSOY HEPSON Ö.

OPTICAL AND QUANTUM ELECTRONICS, vol.50, no.1, 2018 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 1
  • Publication Date: 2018
  • Doi Number: 10.1007/s11082-017-1313-z
  • Journal Name: OPTICAL AND QUANTUM ELECTRONICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Generalized Kudryashov method, Conformable time fractional Jimbo-Miwa equation, Conformable time fractional Zakharov-Kuznetsov equation, Conformable derivative, SOLITON-SOLUTIONS
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

The conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations are solved by the generalized form of the Kudryashov method. A simple compatible wave transformation is employed to reduce the dimension of the equations to one. The predicted solution is of the form of a rational expression of two finite series at both the numerator and the denominator. The terms of both series are of the powers of some functions having exponential expressions satisfying a particular ODE. The exact solutions are expressed explicitly in terms of powers of some exponential functions in form of rational expressions.