Determinant and Pfaffian solutions of the strong coupling limit of integrable discrete NLS systems

Kenichi Maruno, Barbara Prinari

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The strong coupling limits of the integrable semi-discrete and fully discrete nonlinear Schrödinger systems are studied by using the Hirota bilinear method. The determinant solutions (in both infinite and finite lattice cases) for the strong coupling limits of semi-discrete and fully discrete nonlinear Schrödinger systems are obtained using a determinant technique. The vector generalizations of the strong coupling limits of semi-discrete and fully discrete nonlinear Schrödinger systems are also presented. The Pfaffian solutions for vector systems are obtained using the Pfaffian technique.

Original languageEnglish
Article number055011
JournalInverse Problems
Volume24
Issue number5
DOIs
Publication statusPublished - 2008 Oct 1
Externally publishedYes

Fingerprint

Pfaffian
Strong Coupling
Discrete Systems
Nonlinear systems
Determinant
Nonlinear Systems
Hirota Bilinear Method

ASJC Scopus subject areas

  • Signal Processing
  • Computer Science Applications
  • Applied Mathematics
  • Mathematical Physics
  • Theoretical Computer Science

Cite this

Determinant and Pfaffian solutions of the strong coupling limit of integrable discrete NLS systems. / Maruno, Kenichi; Prinari, Barbara.

In: Inverse Problems, Vol. 24, No. 5, 055011, 01.10.2008.

Research output: Contribution to journalArticle

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