Matematiksel Fizikteki Sobolev Tipi İki Denklem Sistemi için Tanh-Coth Yöntemi
Sobolov denklemleri en yüksek mertebeden türevinde zaman ve boyuta göre türevleri beraber bulunduran denklemler olarak tanımlanır. Bu çalışmada, Boussinesq ve yüksek mertebeden geliştirilmiş Boussinesq adlı iki önemli Sobolev denklem sistemini ele aldık. Tanh-coth yöntemi kullanarak bu iki önemli denklem sisteminin bir çok yeni hareketli dalga çözümünü elde ettik
The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics
Sobolev equations have been used to describe many physical phenomena and they are characterized by having mixed time and space derivatives appearing in the highest-order terms of an partial differential equation. In this work we consider two important system of Sobolev type equations namely improved Boussinesq and higher-order improved Boussinesq. By using tanh-coth method, we obtain abundant new travelling wave solutions of these important physical structures.
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