Breaking of symmetry of interacting dissipative solitons can lead to partial annihilation

Orazio Descalzi*, Helmut R. Brand

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

Abstract

We show that for a large range of approach velocities and over a large interval of stabilizing cubic cross-coupling between counterpropagating waves, a collision of stationary pulses leads to a partial annihilation of pulses via a spontaneous breaking of symmetry. This result arises for coupled cubic-quintic complex Ginzburg-Landau equations for traveling waves for sufficiently large values of the stabilizing cubic cross-coupling and for large enough approach velocities of the pulses. Briefly, we show in addition that the collision of counterpropagating pulses in a system of two coupled cubic Ginzburg-Landau equations with nonlinear gradients (Raman effect) might also lead to partial annihilation, indicating that this breaking of symmetry is generic. Systems of experimental interest include surface reactions, convective onset, biosolitons, and nonlinear optics.

Original languageEnglish
Article number040201
JournalPhysical Review E
Volume101
Issue number4
DOIs
StatePublished - Apr 2020

Bibliographical note

Funding Information:
O.D. wishes to acknowledge the support of FONDECYT (Project No. 1200357) and Universidad de los Andes through FAI initiatives. H.R.B. thanks the Deutsche Forschungsgemeinschaft for partial support of this work.

Publisher Copyright:
© 2020 American Physical Society.

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