Mel'nikov analysis of a symmetry-breaking perturbation of the NLS equation

Mathematics and Computers in Simulation

Volumn 55, Issue 4-6, 2001, Pages 351-364

  Schober, C M ^a   Calini, A ^b  

^a OLD DOMINION UNIVERSITY   (United States)

^b School of Business   (United States)

Author keywords

Mel'nikov analysis; NLS equation; Symmetry breaking perturbation

Indexed keywords

CHAOS THEORY; CORRELATION METHODS; HEURISTIC METHODS; PERTURBATION TECHNIQUES; PHASE SPACE METHODS; RANDOM PROCESSES; WAVEFORM ANALYSIS;

MELNIKOV ANALYSIS; NONLINEAR SCHRODINGER EQUATION; SYMMETRY-BREAKING PERTURBATION;

NONLINEAR EQUATIONS;

EID: 0034923179     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4754(00)00286-X     Document Type: Article

References (9)

1. Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
2. Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation
3. Toward a topological classification of integrable PDE's
4. Homoclinic orbits and chaos in discretized perturbed NLS systems. I. Homoclinic orbits
5. Morse and Mel'nikov functions for NLS PDE's discretized perturbed NLS systems. I. Homoclinic orbits
6. Computational chaos in the nonlinear Schrödinger equation without homoclinic crossings
7. Modulated periodic stokes waves in deep water
8. Multi-pulse jumping orbits and homoclinic trees in a modal truncation of the damped-forced NLS equation