Pseudorecurrence in two-dimensional modulation instability with a saturable self-focusing nonlinearity
- 17 September 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 65 (12) , 1423-1426
- https://doi.org/10.1103/physrevlett.65.1423
Abstract
The modulation instability of a two-dimensional field with a saturable self-focusing nonlinearity is investigated numerically. We show that approximate recurrence to an initial homogeneous field occurs, but oscillation around the exact recurrence is observed. This pseudorecurrence arises only for a restricted range of spatial modulation frequencies.Keywords
This publication has 10 references indexed in Scilit:
- Homoclinic crossings and pattern selectionPhysical Review Letters, 1990
- Stripe nonlinear waves in a symmetrical planar structureOptics Communications, 1989
- Modulation instability and periodic solutions of the nonlinear Schr dinger equationTheoretical and Mathematical Physics, 1986
- Modulational instability of coherent optical-fiber transmission signalsOptics Letters, 1984
- Study of Quasiperiodic Solutions of the Nonlinear Schrödinger Equation and the Nonlinear Modulational InstabilityPhysical Review Letters, 1984
- Generation of a train of soliton pulses by induced modulational instability in optical fibersOptics Letters, 1984
- The Periodic Cubic Schrõdinger EquationStudies in Applied Mathematics, 1981
- Relationship between Benjamin–Feir instability and recurrence in the nonlinear Schrödinger equationPhysics of Fluids, 1978
- Small-scale self-focusing effects in a high power glass laser amplifierIEEE Journal of Quantum Electronics, 1978
- The disintegration of wave trains on deep water Part 1. TheoryJournal of Fluid Mechanics, 1967