Solitary waves generated by subcritical instabilities in dissipative systems

We show that stable localized waves can be generated in the vicinity of an inverted Hopf bifurcation. We compute the size of the localized wave envelope perturbatively in the case of slightly dissipative systems. The size selection traces back to the broken scale invariance by the dissipative terms....

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Bibliographic Details
Published in:Physical review letters 1990-01, Vol.64 (3), p.282-284
Main Authors: FAUVE, S, THUAL, O
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Classical mechanics of continuous media: general mathematical aspects
Exact sciences and technology
Fluid mechanics
Mechanics
Physics
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Summary:We show that stable localized waves can be generated in the vicinity of an inverted Hopf bifurcation. We compute the size of the localized wave envelope perturbatively in the case of slightly dissipative systems. The size selection traces back to the broken scale invariance by the dissipative terms. This mechanism is a possible explanation for the localized structures, widely observed in various hydrodynamic flows in dissipative systems driven far from equilibriu
ISSN:0031-9007
1079-7114
DOI:10.1103/PhysRevLett.64.282