Published October 2007
| Version v1
Journal article
Solitons in the midst of chaos
- 1. Department of Statistics and Department of Psychological and Brain Sciences, 1101 East 10th Street, PY 190A, Bloomington, Indiana 47405 (United States)
- 2. Department of Computer Science and Electrical Engineering, University of Maryland Baltimore County, 1000 Hilltop Circle, Baltimore, Maryland 21250 (United States)
Description
A system of coupled nonlinear Schroedinger equations describes pulse propagation in weakly birefringent optical fibers. Soliton solutions of this system are found numerically through the shooting method. We employ Poincare surface of section plots - a standard dynamical systems approach - to analyze the phase space behavior of these solutions and neighboring trajectories. Chaotic behavior around the solitons is apparent and suggests dynamical instability. A Lyapunov stability analysis confirms this result. Thus, solitons exist in the midst of chaos
Additional details
Identifiers
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 76
- Journal Issue
- 4
- Journal Page Range
- p. 043803-043803.8
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 39042597
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BIREFRINGENCE; CHAOS THEORY; INSTABILITY; LYAPUNOV METHOD; NONLINEAR PROBLEMS; NUMERICAL SOLUTION; OPTICAL FIBERS; PHASE SPACE; PULSES; SCHROEDINGER EQUATION; SOLITONS; STABILITY; SURFACES
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; FIBERS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; REFRACTION; SPACE; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2007 The American Physical Society