The nonlinear Schrödinger equation: solitons dynamics

DOI10.1016/j.jde.2010.09.026zbMath1205.35287arXiv0812.4152OpenAlexW1971536353MaRDI QIDQ615978

Anna Maria Micheletti, Vieri Benci, Marco Ghimenti

Publication date: 7 January 2011

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

Full work available at URL: https://arxiv.org/abs/0812.4152

zbMATH Keywords

nonlinear Schrödinger equationsemiclassical limitorbital stabilityconcentration phenomenasoliton dynamics

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Nonlinear evolution equations (47J35)

Related Items (10)

A complexity approach to the soliton resolution conjecture ⋮ Hylomorphic solitons ⋮ Existence and stability results on a class of nonlinear Schrödinger equations in bounded domains with Dirichlet boundary conditions ⋮ Long time dynamics of highly concentrated solitary waves for the nonlinear Schrödinger equation ⋮ Soliton dynamics for the generalized Choquard equation ⋮ SOLITON DYNAMICS FOR THE SCHRÖDINGER–NEWTON SYSTEM ⋮ Fractional Schrödinger dynamics and decoherence ⋮ On the dynamics of solitons in the nonlinear Schrödinger equation ⋮ Benjamin–Ono soliton dynamics in a slowly varying potential ⋮ Soliton dynamics for fractional Schrödinger equations

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