Potential symmetries and invariant solutions for the inhomogeneous nonlinear diffusion equation

DOI10.1016/S0378-4371(02)00866-XzbMath0997.35028MaRDI QIDQ1611145

A. H. Khater, S. F. Abdul-Aziz, M. H. M. Moussa

Publication date: 21 August 2002

Published in: Physica A (Search for Journal in Brave)

zbMATH Keywords

one-parameter transformation group

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55)

Related Items (8)

Conditional Lie-Bäcklund symmetries and differential constraints for inhomogeneous nonlinear diffusion equations due to linear determining equations ⋮ On symmetry groups and conservation laws for space-time fractional inhomogeneous nonlinear diffusion equation ⋮ Symmetry analysis and group-invariant solutions to inhomogeneous nonlinear diffusion equation ⋮ A 3D vortex formed by trajectories of the Navier–Stokes equation ⋮ A Chebyshev spectral collocation method for solving Burgers'-type equations ⋮ Conservation laws and exact solutions for some nonlinear partial differential equations ⋮ Group-theoretical framework for potential symmetries of evolution equations ⋮ Classification of potential symmetries of generalised inhomogeneous nonlinear diffusion equations

Cites Work

• Similarity solutions for nonlinear diffusion - A new integration procedure
• Similarity solutions for nonlinear diffusion - Further exact solutions
• A nonlinear model of heat conduction
• New classes of similarity solutions of the inhomogeneous nonlinear diffusion equations
• Symmetry-based algorithms to relate partial differential equations: I. Local symmetries
• Potential symmetries and invariant solutions for the generalized one-dimensional Fokker-Planck equation

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