6533b874fe1ef96bd12d62e0
RESEARCH PRODUCT
Stationary and pulsating dissipative light bullets from a collective variable approach
J.m. Soto-crespoA. KamagateNail AkhmedievPh. GreluP. Tchofo-dindasubject
Physics[PHYS.PHYS.PHYS-OPTICS]Physics [physics]/Physics [physics]/Optics [physics.optics]Computation16. Peace & justice01 natural sciencesStability (probability)[CHIM.THEO]Chemical Sciences/Theoretical and/or physical chemistry010309 optics[CHIM.THEO] Chemical Sciences/Theoretical and/or physical chemistryDissipative solitonRange (mathematics)Classical mechanicsPACS: 05.45.Yv 42.65.Tg 42.65.Sf 47.20.Ky[ CHIM.THEO ] Chemical Sciences/Theoretical and/or physical chemistry0103 physical sciencesDissipative systemSolitonStatistical physics010306 general physicsReduction (mathematics)Nonlinear Sciences::Pattern Formation and SolitonsVariable (mathematics)description
A collective variable approach is used to map domains of existence for (3+1) -dimensional spatiotemporal soliton solutions of a complex cubic-quintic Ginzburg-Landau equation. A rich variety of evolution behaviors, which include stationary and pulsating dissipative soliton dynamics, is revealed. Comparisons between the results obtained by the semianalytical approach of collective variables, and those obtained by a purely numerical approach show good agreement for a wide range of equation parameters. This also demonstrates the relevance of the semianalytical method for a systematic search of stability domains for spatiotemporal solitons, leading to a dramatic reduction of the computation time. © 2009 The American Physical Society.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-02-01 | Physical Review E |