The Tanh-coth Method For Two System Of Sobolev Type Equations In Mathematical Physics

Year 2016, Volume: 4 Issue: 1, 52 - 62, 01.05.2016

S. Akçağıl O. Gözükızıl

Abstract

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.

Keywords

Sobolev equation, The tanh-coth method, The system of improved Boussinesq equations, The system of higher-order improved Boussinesq equations

Matematiksel Fizikteki Sobolev Tipi İki Denklem Sistemi için Tanh-Coth Yöntemi

Abstract

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

Keywords

Sobolev denklemi, Tanh-coth metot, Geliştirilmiş Boussinesq denklem sistemi, Yüksek mertebeden geliştirilmiş Boussinesq denklem sistemi

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