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New travelling wave solutions to the Boussinesq and the Klein–Gordon equations

✍ Scribed by Abdul-Majid Wazwaz

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
164 KB
Volume
13
Category
Article
ISSN
1007-5704

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✦ Synopsis

In this work, many new travelling wave solutions are established for the Boussinesq and the Klein-Gordon equations. The extended tanh method, the rational hyperbolic functions method, and the rational exponential functions method are used to generate these new solutions. The new solutions are bell-shaped solitons, periodic, and complex solutions. The proposed approaches are also applicable to a large variety of nonlinear evolution equations.

📜 SIMILAR VOLUMES

The Existence of Many Periodic Non-trave
The Existence of Many Periodic Non-travelling Solutions to the Boussinesq Equation
✍ Annalisa Crannell 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 523 KB

This paper uses variational methods in particular, a generalization of the Mountain Pass Lemma of Rabinowitz together with an invariance argument to demonstrate the existence of (weak Sobolev) periodic, non-travelling solutions to the Boussinesq equation