Spatial properties and numerical solitary waves of a nonintegrable discrete nonlinear Schrödinger equation with nonlinear hopping

DOI10.1016/j.amc.2017.03.047zbMath1411.35242OpenAlexW2607462144MaRDI QIDQ1738102

Li-Yuan Ma, Zuo-nong Zhu

Publication date: 29 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2017.03.047

zbMATH Keywords

solitary wavediscrete Fourier transformationdynamical mapnonintegrable discrete nonlinear Schrödinger equationspatial property

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Simulation of dynamical systems (37M05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Soliton solutions (35C08)

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Cites Work

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• Travelling solitary waves in the discrete Schrödinger equation with saturable nonlinearity: Existence, stability and dynamics
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Variational approximations for traveling solitons in a discrete nonlinear Schrödinger equation
• Translationally invariant nonlinear Schrödinger lattices
• Chaotic properties between the nonintegrable discrete nonlinear Schrödinger equation and a nonintegrable discrete Heisenberg model
• Discrete Traveling Solitons in the Salerno Model
• Two-Dimensional Measure-Preserving Mappings

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