Bright and dark solitons for a discrete (2+1)-dimensional Ablowitz-Ladik equation for the nonlinear optics and Bose-Einstein condensation

DOI10.1016/j.cnsns.2017.02.013zbMath1448.81535OpenAlexW2589513848MaRDI QIDQ2007378

Lei Liu, Bo Tian, Yan Sun, Xiao-Yu Wu

Publication date: 14 October 2020

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2017.02.013

zbMATH Keywords

nonlinear opticsBose-Einstein condensationsoliton interactionbright and dark solitonsdiscrete (2+1)-dimensional Ablowitz-Ladik equation

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Phase transitions (general) in equilibrium statistical mechanics (82B26) Lasers, masers, optical bistability, nonlinear optics (78A60) Discrete version of topics in analysis (39A12) Soliton solutions (35C08) Bosonic systems in quantum theory (81V73)

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The closeness of the Ablowitz-Ladik lattice to the discrete nonlinear Schrödinger equation ⋮ Solitons for a (2+1)-dimensional coupled nonlinear Schrödinger system with time-dependent coefficients in an optical fiber ⋮ Lax pair, infinitely-many conservation laws and soliton solutions for a set of the time-dependent Whitham-Broer-Kaup equations for the shallow water ⋮ Chaotic study on a multibody interacting particle system with trajectory of variable curvature radius ⋮ Periodic and localized wave patterns for coupled Ablowitz-Ladik systems with negative cross phase modulation ⋮ Solitary waves in the Ablowitz–Ladik equation with power-law nonlinearity

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