Discrete nonlinear Schrödinger equations with arbitrarily high-order nonlinearities.
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.
Khare
Avinash
A
Institute of Physics, Bhubaneswar, Orissa 751005, India.
Rasmussen
Kim Ø
KØ
Salerno
Mario
M
Samuelsen
Mogens R
MR
Saxena
Avadh
A