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 language | English |
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Journal | Physical Review E |
Volume | 74 |
Issue number | 1 |
Pages (from-to) | 016607 |
ISSN | 2470-0045 |
DOIs | |
Publication status | Published - 2006 |
Bibliographical note
Copyright 2006 American Physical SocietyKeywords
- CYCLIC IDENTITIES
- MODEL
- DIFFERENTIAL-DIFFERENCE EQUATIONS
- KINKS
- SOLITON PROPAGATION
- JACOBI ELLIPTIC FUNCTIONS
- WAVES
- MEDIA
- DYNAMICS