Instability of ground states for a quasilinear Schrödinger equation

Mathieu Colin (1, 2, 3) , Masahito Ohta (4)

1 CARDAMOM - Certified Adaptive discRete moDels for robust simulAtions of CoMplex flOws with Moving fronts
2 Bordeaux INP - Institut Polytechnique de Bordeaux
3 IMB - Institut de Mathématiques de Bordeaux
4 Tokyo University of Science [Tokyo]

We study a class of one parameter (denoted by κ) family of quasi-linear Schrödinger 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 κ, which gives an answer to a question raised in [9].

Mots clés: schrodinger

Domaines: Equations aux dérivées partielles [math.AP]

Mathieu Colin, Masahito Ohta. Instability of ground states for a quasilinear Schrödinger equation. Differential and integral equations, 2014, 27 (7,8), pp.613-624. ⟨hal-01215443⟩