Variational Approach to the Orbital Stability of Standing Waves of the Gross-Pitaevskii Equation

Autor:	Peter A. Markowich, Hichem Hajaiej, Fouad Hadj Selem, Saber Trabelsi
Rok vydání:	2014
Předmět:	Section (fiber bundle) Physics Standing wave Gross–Pitaevskii equation symbols.namesake Classical mechanics General Mathematics Mathematical analysis symbols Orbital stability Orbit (control theory) Nonlinear Schrödinger equation Symmetry (physics)
Zdroj:	Milan Journal of Mathematics. 82:273-295
ISSN:	1424-9294 1424-9286
DOI:	10.1007/s00032-014-0227-5
Popis:	This paper is concerned with the mathematical analysis of a masssubcritical nonlinear Schrodinger equation arising from fiber optic applications. We show the existence and symmetry of minimizers of the associated constrained variational problem. We also prove the orbital stability of such solutions referred to as standing waves and characterize the associated orbit. In the last section, we illustrate our results with few numerical simulations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::005ace76fb133c3158e57864e1e48f40 https://doi.org/10.1007/s00032-014-0227-5 Zobrazit plný text záznamu Full text from SpringerLink