Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities
Avinash KhareInstitute of Physics, Bhubaneswar, Orissa 751005, IndiaK. Ø. RasmussenTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USAMario SalernoDipartimento di Fisica “E.R. Caianiello,” Istituto Nazionale di Fisica Nucleare (INFN) Sezione di Napoli-Gruppo Collegato di Salerno, Consorzio Nazionale Interuniversitario per le Scienze Fisiche della Materia (CNISM), Universitá di Salerno, I-84081 Baronissi (SA), ItalyM. R. SamuelsenDepartment of Physics, The Technical University of Denmark, DK-2800 Kgs. Lyngby, DenmarkAvadh SaxenaTheoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
2006en
ABI
Аннотация
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.
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