Stationary and pulsating dissipative light bullets from a collective variable approach

A Kamagate, P Grelu, P Tchofo-Dinda… - Physical Review E …, 2009 - APS
Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 2009APS
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 …
A collective variable approach is used to map domains of existence for -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.
American Physical Society
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