Magneto-Elektro-Elastik Çubuk Modelinin F Açılım Metodu ile Tam Çözümleri

Bu çalışmada, dördüncü mertebeden lineer olmayan, magneto-elektro-elastik (MEE) çubuktaki yalnız gezen dalgalara karşılık gelen MEE kısmi diferensiyel denklemi ele alındı. Denklemin gezici dalga çözümlerini araştırmak için, F-açılım metodu kullanıldı. Metodun içerdiği farklı durumlar için Jacobi eliptik fonksiyonlar yardımı ile tam çözümler oluşturuldu. ? → 0 için trigonometrik, ? → 1 için hiperbolik fonksiyonlar ve bunların kombinasyonlarını içeren çözümler elde edildi. Son olarak çözümlerin farklı parametrelerdeki bazı özel değerleri için grafikleri Maple programı ile çizdirilerek incelenmeye sunulmuştur.

Exact Solutions of Magneto-Electro-Elastic Rod Model with F Expansion Method

In this study, the MEE partial differential equation corresponding to solitary waves in a fourth order nonlinear magneto-electro-elastic (MEE) rod is examined. F-expansion method was used to investigate the traveling wave solutions of the equation. Complete solutions were created with using the Jacobi elliptic functions for the different situations included in the method. Using trigonometric functions and hyperbolic functions solutions were obtained for ? → 0 and ? → 1 respectively. Finally, using some special values of the solutions in different parameters, the graphs were plotting with Maple program and presented for examining.

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