4.5 Article

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

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OPTICAL AND QUANTUM ELECTRONICS
卷 50, 期 1, 页码 -

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SPRINGER
DOI: 10.1007/s11082-017-1313-z

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Generalized Kudryashov method; Conformable time fractional Jimbo-Miwa equation; Conformable time fractional Zakharov-Kuznetsov equation; Conformable derivative

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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.

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