Solitary waves generated by subcritical instabilities in dissipative systems
- 15 January 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 64 (3) , 282-284
- https://doi.org/10.1103/physrevlett.64.282
Abstract
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 equilibrium.Keywords
This publication has 9 references indexed in Scilit:
- Traveling-wave convection in an annulusPhysical Review Letters, 1988
- Localized structures generated by subcritical instabilitiesJournal de Physique, 1988
- Traveling waves and spatial variation in the convection of a binary mixturePhysical Review A, 1987
- Multistability and confined traveling-wave patterns in a convecting binary mixturePhysical Review A, 1987
- Nonlinear Oscillations Dynamical Systems, and Bifurcations of Vector FieldsJournal of Applied Mechanics, 1984
- Parametrically excited solitary wavesJournal of Fluid Mechanics, 1984
- Observation of a Nonpropagating Hydrodynamic SolitonPhysical Review Letters, 1984
- Physical Fluid DynamicsPublished by Springer Nature ,1977
- A non-linear instability theory for a wave system in plane Poiseuille flowJournal of Fluid Mechanics, 1971