Zhang Guoqing and Gu Tongmo: Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction. (2018)
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Abstract
We consider the existence and orbital stability of bound state solitary waves and ground state solitary waves for a class of nonlinear Schrödinger system with quadratic interaction in Rn (n = 2, 3). The existence of bound state and ground state solitary waves are studied by variational arguments and Concentration-compactness Lemma. In additional, we also prove the orbital stability of bound state and ground state solitary waves.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 97 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-14 |
| DOI: | 10.14232/ejqtde.2018.1.97 |
| Uncontrolled Keywords: | Kvadratikus kölcsönhatás, Differenciálegyenlet |
| Additional Information: | Bibliogr.: 14. p. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. Jan. 25. 12:06 |
| Last Modified: | 2020. Jul. 29. 12:29 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/56909 |
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