Integrable semi-discretization of the coupled nonlinear Schrödinger equations
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Publication:4262441
DOI10.1088/0305-4470/32/11/016zbMATH Open0941.35112arXivsolv-int/9903013OpenAlexW3098887556MaRDI QIDQ4262441
Author name not available (Why is that?)
Publication date: 12 September 1999
Published in: (Search for Journal in Brave)
Abstract: A system of semi-discrete coupled nonlinear Schr"{o}dinger 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 Schr"{o}dinger 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.
Full work available at URL: https://arxiv.org/abs/solv-int/9903013
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