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

Year 2021, Volume: 10 Issue: 2, 375 - 392, 07.06.2021

Nisa Çelik

https://doi.org/10.17798/bitlisfen.873113

Abstract

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. m→0 için trigonometrik, m→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.

Keywords

Lineer olmayan kısmi diferensiyel denklem, Magneto-Elektro-Elastik çubuk, F açılım Yöntemi, Jacobi eliptik fonksiyon

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