Differential and Integral Equations

Instability of ground states for a quasilinear Schrӧdinger equation

Abstract

We study a class of one parameter (denoted by $\kappa$) family of quasi-linear Schrӧdinger equations arising in the theory of superfluid film in plasma physics. Using variational techniques, we prove the orbital instability of solitary waves for small values of the parameter $\kappa$, which gives an answer to a question raised in [9].

Article information

Source
Differential Integral Equations, Volume 27, Number 7/8 (2014), 613-624.

Dates
First available in Project Euclid: 6 May 2014