Analytic expressions of hydrothermal waves

DOI10.1016/S0034-4877(01)80010-0zbMath1015.76014arXivnlin/0009022MaRDI QIDQ5942371

Robert Conte, Micheline Musette

Publication date: 29 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0009022

zbMATH Keywords

exact solutionscubic complex Ginzburg-Landau equationhorizontal temperature differencehydrothermal wavestwo coupled amplitude equations

Mathematics Subject Classification ID

Related Items (4)

Analytic study of a coupled Kerr-SBS system ⋮ Analytic solitary waves of nonintegrable equations ⋮ Elliptic General Analytic Solutions ⋮ Non-existence of elliptic travelling wave solutions of the complex Ginzburg--Landau equation

Cites Work

• Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
• Painlevé expansions for nonintegrable evolution equations
• Linearity inside nonlinearity: Exact solutions to the complex Ginzburg-Landau equation
• A perturbative Painlevé approach to nonlinear differential equations
• The Painlevé property for partial differential equations
• The nonlinear stability of dynamic thermocapillary liquid layers
• Nonlinear Schrödinger equation including growth and damping
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Some general periodic solutions to coupled nonlinear Schrödinger equations.
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