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VOL. 64 | 2015 Stability of ground states of NLS with fourth order dispersion
Masaya Maeda

Editor(s) Shin-Ichiro Ei, Shuichi Kawashima, Masato Kimura, Tetsu Mizumachi

Abstract

In this paper, we investigate the existence, uniqueness and stability of the ground states of nonlinear Schrödinger type equations with a small fourth order dispersion. Such equations appear in the higher order approximation of the propagation of laser beam in Kerr medium. We show that for the critical case, the ground state, which is unstable in the absence of the fourth order dispersion, becomes stable with small fourth order term.

Information

Published: 1 January 2015
First available in Project Euclid: 30 October 2018

zbMATH: 1335.35237
MathSciNet: MR3381311

Digital Object Identifier: 10.2969/aspm/06410445

Subjects:
Primary: 35Q55

Rights: Copyright © 2015 Mathematical Society of Japan

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