Discrete nonlinear Schrodinger equations with arbitrarily high-order nonlinearities

A. Khare, Kim Ø Rasmussen, M. Salerno, Mogens Rugholm Samuelsen, A. Saxena

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Abstract

A class of discrete nonlinear Schrodinger equations with arbitrarily high-order nonlinearities is introduced. These equations are derived from the same Hamiltonian using different Poisson brackets and include as particular cases the saturable discrete nonlinear Schrodinger equation and the Ablowitz-Ladik equation. As a common property, these equations possess three kinds of exact analytical stationary solutions for which the Peierls-Nabarro barrier is zero. Several properties of these solutions, including stability, discrete breathers, and moving solutions, are investigated.
Original languageEnglish
JournalPhysical Review E
Volume74
Issue number1
Pages (from-to)016607
ISSN2470-0045
DOIs
Publication statusPublished - 2006

Bibliographical note

Copyright 2006 American Physical Society

Keywords

  • CYCLIC IDENTITIES
  • MODEL
  • DIFFERENTIAL-DIFFERENCE EQUATIONS
  • KINKS
  • SOLITON PROPAGATION
  • JACOBI ELLIPTIC FUNCTIONS
  • WAVES
  • MEDIA
  • DYNAMICS

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