Resonance in the collision of two discrete intrinsic localized excitations

Journal Article · Mon Dec 01 04:00:00 EST 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.7246· OSTI ID:550491

Cai, D; Bishop, A R

The collision dynamics of two solitonlike localized excitations in a nonintegrable discrete (1+1)-dimensional nonlinear Schr{umlt o}dinger system is studied numerically. It is demonstrated that the collision dynamics exhibits a complicated resonance structure of interlacing bound-state regions and escape regions of localized excitations with a sensitive dependence on the incoming energies of the localized excitations. We emphasize that this resonance is a combined effect of discreteness and nonintegrability of the system and contrast it with topological kink-antikink collisions in {phi}{sup 4} and related systems. {copyright} {ital 1997} {ital The American Physical Society}

• OSTI ID: 550491
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Journal Name: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics Journal Issue: 6 Vol. 56; ISSN 1063-651X; ISSN PLEEE8
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
BOUND STATE
COLLISIONS
DYNAMICS
EXCITATION
LOCALITY
NONLINEAR OPTICS
NUMERICAL ANALYSIS
PHI4-FIELD THEORY
RESONANCE
SCHROEDINGER EQUATION
SOLITONS
TWO-DIMENSIONAL CALCULATIONS