Existence of solitary waves in nonlinear equations of Schrödinger type
| Autor: | Vladyslav Prytula, Juan Belmonte-Beitia |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
Physics
Work (thermodynamics) Applied Mathematics Zero (complex analysis) Type (model theory) Nonlinear system symbols.namesake Bifurcation theory Mountain pass theorem symbols Discrete Mathematics and Combinatorics Nonlinear Sciences::Pattern Formation and Solitons Nonlinear Schrödinger equation Analysis Schrödinger's cat Mathematical physics |
| Zdroj: | Discrete & Continuous Dynamical Systems - S. 4:1007-1017 |
| ISSN: | 1937-1179 |
| DOI: | 10.3934/dcdss.2011.4.1007 |
| Popis: | In this work we study the existence of solitary waves in nonlinear equations of Schrodinger type. We prove the existence of the positive solution and using the bifurcation theory show that the norm of the given solution tends to zero as the coefficient corresponding to the linear term vanishes. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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