The influence of additive noise, multiplicative noise, and higher-order effects on exploding solitons in the framework of the prototype complex cubic-quintic Ginzburg-Landau equation is studied. Transitions from explosions to filling-in to the noisy spatially homogeneous finite amplitude solution, collapse (zero solution), and periodic exploding dissipative solitons are reported.
Bibliographical noteFunding Information:
Acknowledgments: We wish to thank the support of FONDECYT through Project No. 1170728.
© 2017 by the authors.
- Exploding solitons
- Ginzburg-Landau equation
- Mode-locked fiber lasers