Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation

DOI10.1155/2021/4936032zbMath1479.35040OpenAlexW3209818827MaRDI QIDQ823609

N. E. Zubov

Publication date: 16 December 2021

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4936032

zbMATH Keywords

invariant solutionstransformed equivalent equations

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Higher-order parabolic equations (35K25) Semilinear parabolic equations (35K58) Symmetries, invariants, etc. in context of PDEs (35B06)

Cites Work

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• Invariance of a partial differential equation of fractional order under the Lie group of scaling transformations
• Lie symmetry analysis of differential equations in finance
• A class of nonlinear front evolution equations derived from geometry and conservation
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• Lie symmetry analysis of the two-dimensional generalized Kuramoto-Sivashinsky equation
• Lie symmetries of generalized equal width wave equations
• Symmetry Reduction of Two-Dimensional Damped Kuramoto—Sivashinsky Equation
• Two-dimensional wave dynamics in thin films. I. Stationary solitary pulses
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