Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction

Zhang, Guoqing and Gu, Tongmo: Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction. Electronic journal of qualitative theory of differential equations 97. pp. 1-14. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 97
Page Range: pp. 1-14
ISSN: 1417-3875
DOI: https://doi.org/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: 2019. Jan. 25. 12:06
URI: http://acta.bibl.u-szeged.hu/id/eprint/56909

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