Bound states of two-dimensional solitons in the discrete nonlinear Schrödinger equation

DOI10.1088/0305-4470/34/45/302zbMath0997.35087OpenAlexW1976185177MaRDI QIDQ4533622

A. R. Bishop, Boris A. Malomed, Panayotis G. Kevrekidis

Publication date: 11 June 2002

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/34/45/302

zbMATH Keywords

solitary excitationsexistence and stability of bound statestwo-dimensional discrete nonlinear Schrödinger lattice

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Stability problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K45) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60)

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