Normal form for the symmetry-breaking bifurcation in the nonlinear Schrödinger equation

DOI10.1016/j.jde.2012.07.007zbMath1251.35153arXiv1101.5402OpenAlexW2070635623MaRDI QIDQ454890

Dmitry E. Pelinovsky, Phan Van Tuoc

Publication date: 10 October 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1101.5402

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Bifurcations in context of PDEs (35B32)

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• Nonlinear double well Schrödinger equations in the semiclassical limit
• Analysis of the linearization around a critical point of an infinite dimensional hamiltonian system
• Symmetry-Breaking Bifurcation in Nonlinear Schrödinger/Gross–Pitaevskii Equations

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