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The variable separated ODE method for travelling wave solutions for the Boussinesq-double sine-Gordon and the Boussinesq-double sinh-Gordon equations

✍ Scribed by Abdul-Majid Wazwaz

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 117 KB
Volume: 72
Category: Article
ISSN: 0378-4754
DOI: 10.1016/j.matcom.2006.03.002

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✦ Synopsis

Travelling wave solutions for the Boussinesq-double sine-Gordon (B-sine-Gordon) equation, the Boussinesq-double sinh-Gordon equation (B-sinh-Gordon), and the Boussinesq-Liouville (BL) equation are formally derived. The approach rests mainly on the variable separated ODE method. Distinct sets of exact solitary wave solutions, that possess distinct physical structures, are obtained for each equation.

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Solutions for the double Sine-Gordon equation by Exp-function, Tanh, and extended Tanh methods

✍ G. Domairry; Amin G. Davodi; Arash G. Davodi 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 109 KB

In this work, we implement some analytical techniques such as the Exp-function, Tanh, and extended Tanh methods for solving nonlinear partial differential equation, which contains sine terms, its name Double Sine-Gordon equation. These methods obtain exact solutions of different types of differentia