The non-existence of a certain class of travelling wave solutions of the Kuramoto-Sivashinsky equation

DOI10.1016/0167-2789(91)90177-BzbMath0775.35008OpenAlexW2070613595MaRDI QIDQ1178844

A. P. Hooper, R. H. J. Grimshaw

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0167-2789(91)90177-b

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

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Cites Work

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• Travelling wave solutions of the Kuramoto-Sivashinsky equation
• The existence of steady solutions of the Kuramoto-Sivashinsky equation
• A singular perturbation problem in needle crystals
• The Kuramoto-Sivashinsky equation: a bridge between PDE's and dynamical systems
• Steady solutions of the Kuramoto-Sivashinsky equation
• Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
• Asymptotics beyond All Orders in a Model of Crystal Growth
• Nonlinear instability at the interface between two viscous fluids
• Viscoelastic behaviour of cellular solutions to the Kuramoto-Sivashinsky model
• Traveling waves on fluid interfaces: Normal form analysis of the Kuramoto–Sivashinsky equation
• A Differential Equation Connected with the Dendritic Growth of Crystals
• Existence and uniqueness of heteroclinic orbits for the equation λu‴ + u′ = f(u)
• Long Waves on Liquid Films

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