DISCRETE BRIGHT SOLITARY WAVES IN QUADRATICALLY NONLINEAR MEDIA

Authors
PESCHEL T PESCHEL U LEDERER F
Citation
T. Peschel et al., DISCRETE BRIGHT SOLITARY WAVES IN QUADRATICALLY NONLINEAR MEDIA, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 57(1), 1998, pp. 1127-1133
Citations number
21
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
Journal title
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics → ACNP
ISSN journal
1063651X
Volume
57
Issue
1
Year of publication
1998
Pages
1127 - 1133
Database
ISI
SICI code
1063-651X(1998)57:1<1127:DBSWIQ>2.0.ZU;2-3
Abstract
We show that bright solitary waves of different topologies can exist i n a discrete system with a quadratic nonlinearity. Analytical solution s can be derived for a limiting case. The regions of existence and sta bility are identified. We numerically study interaction and collision phenomena. Various decay scenarios for unstable solutions are discusse d.