A New Type of Generalized F-Expansion Method and its Application to Sine-Gordon Equation | Zendy

Yusuf Pandır | Zendy

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A New Type of Generalized F-Expansion Method and its Application to Sine-Gordon Equation

Author(s) -

Yusuf Pandır

Publication year - 2017

Publication title -

celal bayar üniversitesi fen bilimleri dergisi

Language(s) - English

Resource type - Journals

eISSN - 1305-1385

pISSN - 1305-130X

DOI - 10.18466/cbayarfbe.306899

Subject(s) - mathematics , sine , elliptic function , type (biology) , jacobi elliptic functions , mathematical analysis , sine gordon equation , jacobi method , elliptic integral , pure mathematics , soliton , nonlinear system , geometry , physics , ecology , quantum mechanics , biology

In this article, a new type of generalized F-expansion method which is very distinct implementation is proposed. Combined and multiple Jacobi elliptic functions solutions are presented with this suggested method. Analytical solutions of sine-Gordon equation are found by using the new type of generalized F-expansion method. As a result, many new and more general function solutions are acquired such as single, combined and multiple nondegenerate Jacobi elliptic function solutions.

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