An application of the new function method to the Zhiber–Shabat equation | Zendy

Tolga Aktürk | Zendy; Yusuf Gürefe | Zendy; Yusuf Pandır | Zendy

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An application of the new function method to the Zhiber–Shabat equation

Author(s) -

Tolga Aktürk,

Yusuf Gürefe,

Yusuf Pandır

Publication year - 2017

Publication title -

an international journal of optimization and control theories and applications (ijocta)

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.287

H-Index - 6

eISSN - 2146-5703

pISSN - 2146-0957

DOI - 10.11121/ijocta.01.2017.00488

Subject(s) - transformation (genetics) , elliptic function , mathematics , simple (philosophy) , exponential function , mathematical analysis , elliptic curve , function (biology) , traveling wave , jacobi elliptic functions , biochemistry , chemistry , philosophy , epistemology , evolutionary biology , biology , gene

This paper applies a new approach including the trial equation based on the exponential function in order to find new traveling wave solutions to Zhiber-Shabat equation. By the using of this method, we obtain a new elliptic integral function solution. Also, this solution can be converted into Jacobi elliptic functions solution by a simple transformation.

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