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Solitary waves for the perturbed nonlinear Klein–Gordon equation

✍ Scribed by Amin Esfahani

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
345 KB
Volume
24
Category
Article
ISSN
0893-9659

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✦ Synopsis

In this work, we study the perturbed nonlinear Klein-Gordon equation. We shall use the sech-ansätze method to derive the solitary wave solutions of this equation.

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On global attraction to solitary waves for the Klein–Gordon field coupled to several nonlinear oscillators
✍ Alexander Komech; Andrew Komech 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 264 KB

The global attraction is established for the U(1)-invariant Klein-Gordon equation in one dimension coupled to a finite number of nonlinear oscillators. Each finite energy solution is shown to converge as t → ±∞ to the set of all solitary waves which are the "nonlinear eigenfunctions" of the form φ(x