Two-periodical and quasi-periodical wave solutions of the Kuramoto- Sivashinsky equation and their stability and bifurcations

DOI10.1016/0167-2789(92)90041-KzbMath0741.35074MaRDI QIDQ1184316

Yu. Ya. Trifonov

Publication date: 28 June 1992

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

nonlinear evolution equationbehaviour of perturbationsfluid film flow hydrodynamicssteady-state travelling wavesvarious active dissipative media

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcations in context of PDEs (35B32) Boundary-layer theory for compressible fluids and gas dynamics (76N20)

Related Items

Nonlinear stability and optimal decay rate for a multidimensional generalized Kuramoto-Sivashinsky system

Cites Work

• Unnamed Item
• On the non-uniqueness of nonlinear wave solutions in a viscous layer
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Computation of quasi-periodic solutions of forced dissipative systems II
• Order and complexity in the Kuramoto-Sivashinsky model of weakly turbulent interfaces
• A stochastic model for the large scale dynamics of some fluctuating interfaces
• On the theory of solitons in systems with dissipation
• On steady-state travelling solutions of an evolution equation describing the behaviour of disturbances in active dissipative media
• Nonlinear instability at the interface between two viscous fluids
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear stability of a viscous film with respect to three-dimensional side-band disturbances