Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schrödinger equations

Abstract : We consider the nonlinear Schrödinger equation with a focusing cubic term and a defocusing quintic nonlinearity in dimensions two and three. The core of this article is the notion of stability of solitary waves. We recall the two standard notions of orbital stability in the context of nonlinear Schrödinger equations, and show that they must be considered as independent from each other. We investigate numerically the notion of orbital stability of ground states in the radially symmetric case, confirming existing conjectures or leading to new ones.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-03085923
Contributor : Rémi Carles <>
Submitted on : Tuesday, December 22, 2020 - 10:14:23 AM
Last modification on : Thursday, January 28, 2021 - 10:28:03 AM

File

NumCubicQuintic.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03085923, version 1

Citation

Rémi Carles, Christian Klein, Christof Sparber. On soliton (in-)stability in multi-dimensional cubic-quintic nonlinear Schrödinger equations. 2020. ⟨hal-03085923⟩

Share

Metrics

Record views

27

Files downloads

16