A symmetry analysis of some classes of evolutionary nonlinear \((2+1)\)-diffusion equations with variable diffusivity

DOI10.1007/S11071-010-9704-8zbMath1207.35026OpenAlexW2069601437MaRDI QIDQ619534

Ashfaque H. Bokhari, Fiazud Din Zaman, Abdul Hamid Kara, Ahmad Y. Al-Dweik

Publication date: 25 January 2011

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-010-9704-8

zbMATH Keywords

exact solutionsLie methodcomplete classification

Mathematics Subject Classification ID

Symmetries, invariants, etc. in context of PDEs (35B06) Quasilinear parabolic equations (35K59)

Related Items (1)

Exact solutions via equivalence transformations of variable-coefficient fifth-order KdV equations

Cites Work

• Equivalence transformations for first order balance equations
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Separation of variables for the 1-dimensional nonlinear diffusion equation
• Separation of variables of a generalized porous medium equation with nonlinear source.
• Symmetry classifications and reductions of some classes of \((2+1)\)-nonlinear heat equation
• Conditional and Nonlocal Symmetry of Nonlinear Heat Equation
• Symmetries and differential equations
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