New function method to the (n+1)-dimensional nonlinear problems | Zendy

Tolga Aktürk | Zendy; Yusuf Gürefe | Zendy; Hasan Bulut | Zendy

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New function method to the (n+1)-dimensional nonlinear problems

Author(s) -

Tolga Aktürk,

Yusuf Gürefe,

Hasan Bulut

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.01.2017.00489

Subject(s) - elliptic function , nonlinear system , elliptic integral , mathematics , jacobi elliptic functions , mathematical analysis , traveling wave , function (biology) , sine , hyperbolic function , trigonometric functions , physics , geometry , quantum mechanics , evolutionary biology , biology

In this study, a new approach that assumes and is applied to construct the traveling wave solutions of the (N + 1)-dimensional double sine-Gordon and (N + 1)-dimensional double sinh-cosh-Gordon equations. Some new elliptic integral function solutions are respectively obtained by this method, and then these solutions are converted into the Jacobi elliptic function solutions. According these results, one can easily see that this method is very effective mathematical tool for the (N+1)-dimensional nonlinear physical problems.

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