Integrable semi-discretization of the coupled nonlinear Schrödinger equations

1999/01/01 by Takayuki Tsuchida, T. Tsuchida, Hideaki Ujino +3 · 5 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.1088/0305-4470/32/11/016

published as J. Phys. A: Math. Gen. 32 (1999) 2239-2262 · 27 pages, LaTeX2e (IOP style)

openalex publication_date 1999/01/01 · arxiv created 1999/03/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

A system of semi-discrete coupled nonlinear Schrödinger equations is studied. To show the complete integrability of the model with multiple components, we extend the discrete version of the inverse scattering method for the single-component discrete nonlinear Schrödinger equation proposed by Ablowitz and Ladik. By means of the extension, the initial-value problem of the model is solved. Further, the integrals of motion and the soliton solutions are constructed within the framework of the extension of the inverse scattering method.

Citations

• On the Toda Lattice. II: Inverse-Scattering Solution

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