Kodai Mathematical Journal

Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case

Noriyoshi Fukaya

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

We study the orbital instability of solitary waves for a derivative nonlinear Schrödinger equation with a general nonlinearity. We treat a borderline case between stability and instability, which is left as an open problem by Liu, Simpson and Sulem (2013). We give a sufficient condition for instability of a two-parameter family of solitary waves in a degenerate case by extending the results of Ohta (2011), and verify this condition for some cases.

Article information

Source
Kodai Math. J., Volume 40, Number 3 (2017), 450-467.

Dates
Received: 27 June 2016
Revised: 7 December 2016
First available in Project Euclid: 31 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1509415227

Digital Object Identifier
doi:10.2996/kmj/1509415227

Mathematical Reviews number (MathSciNet)
MR3718492

Zentralblatt MATH identifier
06827098

Subjects
Primary: 35Q55: NLS-like equations (nonlinear Schrödinger) [See also 37K10] 35B35: Stability

Keywords
solitary wave orbital instability DNLS

Citation

Fukaya, Noriyoshi. Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case. Kodai Math. J. 40 (2017), no. 3, 450--467. doi:10.2996/kmj/1509415227. https://projecteuclid.org/euclid.kmj/1509415227


Export citation