Bifurcation of gap solitons in periodic potentials with a periodic sign-varying nonlinearity coefficient

DOI10.1080/00036810903330538zbMath1194.35397arXiv0906.2501OpenAlexW2087398840MaRDI QIDQ3584653

Dmitry E. Pelinovsky, Juan Belmonte-Beitia

Publication date: 30 August 2010

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2501

zbMATH Keywords

bifurcationssemi-classical limitGross-Pitaevskii equationdiscrete nonlinear Schrödinger equationWannier functionsgap solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Bifurcation problems for infinite-dimensional Hamiltonian and Lagrangian systems (37K50) Lattice dynamics; integrable lattice equations (37K60) Soliton solutions (35C08)

Related Items (4)

Solitary Waves and Their Linear Stability in Nonlinear Lattices ⋮ Nonlinear Schrödinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities ⋮ Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations ⋮ Characterization of soliton solutions in 2D nonlinear Schrödinger lattices by using the spatial disorder

Cites Work

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