Lie symmetry analysis of the two-dimensional generalized Kuramoto-Sivashinsky equation

DOI10.1186/2251-7456-6-3zbMath1264.35013OpenAlexW2114724945WikidataQ59289716 ScholiaQ59289716MaRDI QIDQ1953764

Mehdi Nadjafikhah, Fatemeh Ahangari

Publication date: 10 June 2013

Published in: Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/2251-7456-6-3

zbMATH Keywords

invariant solutionsLie symmetry methodoptimal systemsimilarity reduced equationstwo dimensional generalized Kuramoto-Sivanshsky (2D gKS) equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (3)

Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation ⋮ Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation ⋮ Symmetry reduction, conservation laws and power series solution of time-fractional variable coefficient Caudrey-Dodd-Gibbon-Sawada-Kotera equation

Cites Work

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• Symmetry Reduction of Two-Dimensional Damped Kuramoto—Sivashinsky Equation
• Differential Invariants of SL(2) and SL(3)-ACTIONS on R^2
• Two-dimensional wave dynamics in thin films. I. Stationary solitary pulses
• Stability of a liquid film with respect to initially finite three-dimensional disturbances
• Three-Dimensional Long Waves on a Liquid Film

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