Modulational instabilities in the discrete deformable nonlinear Schrödinger equation
Yuri S. KivsharOptical Sciences Center, Australian National University, Australian Capital Territory 0200 Canberra, AustraliaMario SalernoOptical Sciences Center, Australian National University, Australian Capital Territory 0200 Canberra, Australia
1994en
ABI
Abstract
We study analytically and numerically modulational instability for the discrete deformable nonlinear Schr\"odinger (NLS) equation which represents a natural link between the properties of the integrable Ablowitz-Ladik model and the nonintegrable discrete NLS equation. We show how different discretizations of the nonlinear interaction change modulational instability in the lattice and, correspondingly, conditions for localized modes to exist.
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