Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations

DOI10.1088/1751-8113/40/8/003zbMath1121.35128OpenAlexW2067534352MaRDI QIDQ3427213

Dimitrios J. Frantzeskakis, Panayotis G. Kevrekidis, Nobuhiro Yoshikawa, Sergey V. Dmitriev

Publication date: 16 March 2007

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

Full work available at URL: https://doi.org/10.1088/1751-8113/40/8/003

zbMATH Keywords

Jacobi elliptic functionsKerr nonlinearitybright solitondark solitonAblowitz-Ladik latticeinverted kink

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) NLS equations (nonlinear Schrödinger equations) (35Q55) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions (37K20) Solutions to PDEs in closed form (35C05)

Related Items (7)

Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations ⋮ Breather Solutions of the Discrete p-Schrödinger Equation ⋮ Solutions of the discrete nonlinear Schrödinger equation with a trap ⋮ Stability, mobility and power currents in a two-dimensional model for waveguide arrays with nonlinear coupling ⋮ Standing lattice solitons in the discrete NLS equation with saturation ⋮ Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws ⋮ Nanoptera in higher-order nonlinear Schrödinger equations: effects of discretization

This page was built for publication: Exact stationary solutions for the translationally invariant discrete nonlinear Schrödinger equations