Traveling waves in rational expressions of exponential functions to the conformable time fractional Jimbo-Miwa and Zakharov-Kuznetsov equations
OPTICAL AND QUANTUM ELECTRONICS, vol.50, no.1, 2018 (SCI-Expanded, Scopus)
- 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
- Open Archive Collection: AVESIS Open Access Collection
- 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.