Group classification and conservation laws for a two-dimensional generalized Kuramoto-Sivashinsky equation

DOI10.1016/j.na.2013.02.010zbMath1278.76097arXiv1212.6534OpenAlexW2057908655MaRDI QIDQ388477

Stylianos Dimas, Yuri Dimitrov Bozhkov

Publication date: 19 December 2013

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.6534

zbMATH Keywords

conservation lawscomputer algebragroup classificationnonlinear self-adjointnessanisotropic Kuramoto-Sivashinsky equation

Mathematics Subject Classification ID

Geometric theory, characteristics, transformations in context of PDEs (35A30) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60)

Related Items

Lie symmetry analysis for the general classes of generalized modified Kuramoto-Sivashinsky equation ⋮ Complete classification of local conservation laws for generalized Cahn–Hilliard–Kuramoto–Sivashinsky equation ⋮ Nonlinear self-adjoint classification of a Burgers-KdV family of equations

Uses Software

• SYM

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