Noise induces partial annihilation of colliding dissipative solitons

Orazio Descalzi; Jaime Cisternas; Daniel Escaff; Helmut R. Brand

doi:10.1103/PhysRevLett.102.188302

Noise induces partial annihilation of colliding dissipative solitons

Orazio Descalzi^*
, Jaime Cisternas
, Daniel Escaff
, Helmut R. Brand

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

56 Scopus citations

Abstract

Partial annihilation of two counterpropagating dissipative solitons, with only one pulse surviving the collision, has been widely observed in different experimental contexts, over a large range of parameters, from hydrodynamics to chemical reactions. However, a generic picture accounting for partial annihilation is missing. Based on our results for coupled complex cubic-quintic Ginzburg-Landau equations as well as for the FitzHugh-Nagumo equation we conjecture that noise induces partial annihilation of colliding dissipative solitons in many systems.

Original language	English
Article number	188302
Journal	Physical Review Letters
Volume	102
Issue number	18
DOIs	https://doi.org/10.1103/PhysRevLett.102.188302
State	Published - 6 May 2009

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10.1103/PhysRevLett.102.188302

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abstract = "Partial annihilation of two counterpropagating dissipative solitons, with only one pulse surviving the collision, has been widely observed in different experimental contexts, over a large range of parameters, from hydrodynamics to chemical reactions. However, a generic picture accounting for partial annihilation is missing. Based on our results for coupled complex cubic-quintic Ginzburg-Landau equations as well as for the FitzHugh-Nagumo equation we conjecture that noise induces partial annihilation of colliding dissipative solitons in many systems.",

author = "Orazio Descalzi and Jaime Cisternas and Daniel Escaff and Brand, \{Helmut R.\}",

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AU - Escaff, Daniel

AU - Brand, Helmut R.

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N2 - Partial annihilation of two counterpropagating dissipative solitons, with only one pulse surviving the collision, has been widely observed in different experimental contexts, over a large range of parameters, from hydrodynamics to chemical reactions. However, a generic picture accounting for partial annihilation is missing. Based on our results for coupled complex cubic-quintic Ginzburg-Landau equations as well as for the FitzHugh-Nagumo equation we conjecture that noise induces partial annihilation of colliding dissipative solitons in many systems.

AB - Partial annihilation of two counterpropagating dissipative solitons, with only one pulse surviving the collision, has been widely observed in different experimental contexts, over a large range of parameters, from hydrodynamics to chemical reactions. However, a generic picture accounting for partial annihilation is missing. Based on our results for coupled complex cubic-quintic Ginzburg-Landau equations as well as for the FitzHugh-Nagumo equation we conjecture that noise induces partial annihilation of colliding dissipative solitons in many systems.

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Noise induces partial annihilation of colliding dissipative solitons

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