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Integrable discretization of coupled nonlinear Schrödinger equations - MaRDI portal

Integrable discretization of coupled nonlinear Schrödinger equations

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Publication:5942393

DOI10.1016/S0034-4877(01)80032-XzbMATH Open0987.37068arXivnlin/0002048MaRDI QIDQ5942393

Author name not available (Why is that?)

Publication date: 29 August 2001

Published in: (Search for Journal in Brave)

Abstract: A discrete version of the inverse scattering method proposed by Ablowitz and Ladik is generalized to study an integrable full-discretization (discrete time and discrete space) of the coupled nonlinear Schr"{o}dinger equations. The generalization enables one to solve the initial-value problem. Soliton solutions and conserved quantities of the full-discrete system are constructed.


Full work available at URL: https://arxiv.org/abs/nlin/0002048



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