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

Abstract

We study the orbital instability of solitary waves for a generalized derivative nonlinear Schrödinger equation. We give sufficient conditions for instability of a two-parameter family of solitary waves in a degenerate case.

16 pages

References in corpus (1)

• Well-posedness for a generalized derivative nonlinear Schrödinger equation

Cited by in corpus (5)

• A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation
• Stability of multi-solitons for the derivative nonlinear Schr{ö}dinger equation
• Instability of the solitary wave solutions for the genenalized derivative Nonlinear Schrödinger equation in the critical frequency case
• Stability of the sum of two solitary waves for (gDNLS) in the energy space
• Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the endpoint case