Khare, Avinash ; Rasmussen, Kim ∅. ; Salerno, Mario ; Samuelsen, Mogens R. ; Saxena, Avadh (2006) Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities Physical Review E - Statistical, Nonlinear and Soft Matter Physics, 74 (1). 016607_1-016607_11. ISSN 1539-3755
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Official URL: http://pre.aps.org/abstract/PRE/v74/i1/e016607
Related URL: http://dx.doi.org/10.1103/PhysRevE.74.016607
Abstract
A class of discrete nonlinear Schrödinger 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 Schrödinger 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.
| Item Type: | Article |
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| Source: | Copyright of this article belongs to The American Physical Society. |
| ID Code: | 83291 |
| Deposited On: | 20 Feb 2012 06:34 |
| Last Modified: | 19 May 2016 00:12 |
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