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

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
• sobolev denklemi
• tanh-coth metot
• geliştirilmiş boussinesq denklem sistemi
• yüksek mertebeden geliştirilmiş boussinesq denklem sistemi