On the classification of similarity solutions of a two-dimensional diffusion-advection equation

DOI10.1016/j.amc.2006.09.043zbMath1127.58033OpenAlexW2073787530MaRDI QIDQ883958

E. Demetriou, Marios A. Christou, Christodoulos Sophocleous

Publication date: 12 June 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.043

zbMATH Keywords

partial differential equationsimilarity solutiongroup classificationLie point symmetry

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Geometric theory, characteristics, transformations in context of PDEs (35A30) Solutions to PDEs in closed form (35C05) Second-order parabolic equations (35K10)

Related Items (6)

Group classification of a class of generalized nonlinear Kolmogorov equations and exact solutions ⋮ Extended symmetry analysis of two-dimensional degenerate Burgers equation ⋮ Group analysis of \((2+1)\)- and \((3+1)\)-dimensional diffusion-convection equations ⋮ Numerical similarity reductions of the (1+3)-dimensional Burgers equation ⋮ Similarity reductions of the (1 + 3)-dimensional Burgers equation ⋮ The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type

Uses Software

• REDUCE

Cites Work

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