Similarity reductions and Painlevé property of the coupled higher dimensional Burgers' equation

DOI10.1016/0020-7462(91)90072-2zbMath0755.35122OpenAlexW1981171001MaRDI QIDQ1196774

P. Punithavathi, K. M. Tamizhmani

Publication date: 16 January 1993

Published in: International Journal of Non-Linear Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7462(91)90072-2

zbMATH Keywords

infinitesimal generatorsLie symmetriesnonlinear ordinary differential equationsLie's infinitesimal group analysis

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Local Lie groups (22E05)

Related Items (8)

Exceptional symmetry reductions of Burgers' equation in two and three spatial dimensions ⋮ Lie algebra of coupled higher-dimensional forced Burgers' equation ⋮ The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system ⋮ New applications of a further extended tanh method ⋮ Exact solutions and localized structures for higher-dimensional Burgers systems ⋮ Exact travelling wave solutions for a diffusion-convection equation in two and three spatial dimensions ⋮ Homotopy perturbation method for \((2+1)\)-dimensional coupled Burgers system ⋮ Enhanced symmetry analysis of two-dimensional Burgers system

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