On discretizations of the vector nonlinear Schrödinger equation
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Publication:1967094
DOI10.1016/S0375-9601(99)00048-1zbMATH Open0938.35174arXivsolv-int/9810014MaRDI QIDQ1967094
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Publication date: 8 March 2000
Published in: (Search for Journal in Brave)
Abstract: Two discretizations of the vector nonlinear Schrodinger (NLS) equation are studied. One of these discretizations, referred to as the symmetric system, is a natural vector extension of the scalar integrable discrete NLS equation. The other discretization, referred to as the asymmetric system, has an associated linear scattering pair. General formulae for soliton solutions of the asymmetric system are presented. Formulae for a constrained class of solutions of the symmetric system may be obtained. Numerical studies support the hypothesis that the symmetric system has general soliton solutions.
Full work available at URL: https://arxiv.org/abs/solv-int/9810014
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