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Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation

Ken-ichi Maruno·Yasuhiro Ohta
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Abstract

It is shown that the $N$-dark soliton solutions of the integrable discrete nonlinear Schrödinger (IDNLS) equation are given in terms of the Casorati determinant. The conditions for reduction, complex conjugacy and regularity for the Casorati determinant solution are also given explicitly. The relationship between the IDNLS and the relativistic Toda lattice is discussed.

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Ken-ichi Maruno, Yasuhiro Ohta. 2006-05-11. Casorati Determinant Form of Dark Soliton Solutions of the Discrete Nonlinear Schrödinger Equation. https://doi.org/10.1143/jpsj.75.054002

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