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Global Attraction to Solitary Waves for a Nonlinear Dirac Equation with Mean Field Interaction

✍ Scribed by Komech, Alexander; Komech, Andrew

Book ID
118197839
Publisher
Society for Industrial and Applied Mathematics
Year
2010
Tongue
English
Weight
340 KB
Volume
42
Category
Article
ISSN
0036-1410

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On global attraction to solitary waves f
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