Existence and orbital stability of standing waves for the 1D Schrodinger-Kirchhoff equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:500

Article

Natali, Fabio¹  Cardoso Jr, Eleomar² 

[1] Univ Estadual Maringa, Dept Math, Maringa, Parana, Brazil

[2] Univ Fed Santa Catarina, Blumenau, SC, Brazil

关键词: Schrodinger-Kirchhoff equation;    Solitary waves;    Periodic waves;    Orbital stability;   

DOI  :  10.1016/j.jmaa.2021.125098

来源: Elsevier

【 摘 要 】

In this paper we establish the orbital stability of standing wave solutions associated to the one-dimensional Schrodinger-Kirchhoff equation. The presence of a mixed term gives us more dispersion, and consequently, a different scenario for the stability of solitary waves in contrast with the corresponding nonlinear Schrodinger equation. For periodic waves, we exhibit two explicit solutions and prove the orbital stability in the energy space. (C) 2021 Elsevier Inc. All rights reserved.

【 授权许可】

Free