Exact solutions of the one-dimensional quintic complex Ginzburg-Landau equation

DOI10.1016/0167-2789(94)90102-3zbMath0816.35128arXivpatt-sol/9310004OpenAlexW3104834094WikidataQ57874734 ScholiaQ57874734MaRDI QIDQ1342176

Robert Conte, Philippe Marcq, Hugues Chaté

Publication date: 11 January 1995

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

Full work available at URL: https://arxiv.org/abs/patt-sol/9310004

zbMATH Keywords

integrabilityPainlevé testsolitary wave solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) NLS equations (nonlinear Schrödinger equations) (35Q55) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Solutions to PDEs in closed form (35C05)

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Uses Software

• Mathematica

Cites Work

• Unnamed Item
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• Who cares about integrability?
• 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
• Spatiotemporal intermittency regimes of the one-dimensional complex Ginzburg-Landau equation
• Pattern formation outside of equilibrium

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