Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation

Ken Ichi Maruno; Yasuhiro Ohta

doi:10.1143/JPSJ.75.054002

Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation

Ken Ichi Maruno^*, Yasuhiro Ohta

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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.

Original language	English
Article number	054002
Journal	journal of the physical society of japan
Volume	75
Issue number	5
DOIs	https://doi.org/10.1143/JPSJ.75.054002
Publication status	Published - 2006 May
Externally published	Yes

Keywords

Casorati determinant
Dark soliton
Discrete nonlinear Schrödinger equation

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1143/JPSJ.75.054002

Cite this

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title = "Casorati determinant form of dark soliton solutions of the discrete nonlinear Schr{\"o}dinger equation",

abstract = "It is shown that the N-dark soliton solutions of the integrable discrete nonlinear Schr{\"o}dinger (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.",

keywords = "Casorati determinant, Dark soliton, Discrete nonlinear Schr{\"o}dinger equation",

author = "Maruno, {Ken Ichi} and Yasuhiro Ohta",

year = "2006",

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T1 - Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation

AU - Maruno, Ken Ichi

AU - Ohta, Yasuhiro

PY - 2006/5

Y1 - 2006/5

N2 - 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.

AB - 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.

KW - Casorati determinant

KW - Dark soliton

KW - Discrete nonlinear Schrödinger equation

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DO - 10.1143/JPSJ.75.054002

M3 - Article

AN - SCOPUS:33646708270

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JO - journal of the physical society of japan

JF - journal of the physical society of japan

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M1 - 054002

ER -

Casorati determinant form of dark soliton solutions of the discrete nonlinear Schrödinger equation

Abstract

Keywords

ASJC Scopus subject areas

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