Nonclassical Potential System Approach for a Nonlinear Diffusion Equation

DOI10.2991/jnmp.2008.15.s3.19zbMath1362.35260OpenAlexW2103137477MaRDI QIDQ5346997

Maria de los Santos Bruzon Gallego, Maria Luz Gandarias

Publication date: 30 May 2017

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2991/jnmp.2008.15.s3.19

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (1)

Nonclassical potential symmetry analysis and exact solutions for a thin film model of a perfectly soluble anti-surfactant solution

Cites Work

• Unnamed Item
• Nonclassical symmetry reductions for an inhomogeneous nonlinear diffusion equation
• Framework for nonlocally related partial differential equation systems and nonlocal symmetries: Extension, simplification, and examples
• New classes of symmetries for partial differential equations
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• Asymptotic behavior of the nonlinear diffusion equation n t = (n−1n x)x
• Similarity reductions of partial differential equations
• Classical point symmetries of a porous medium equation
• Potential symmetries and direct reduction methods of order two
• Solutions through nonclassical potential symmetries for a generalized inhomogeneous nonlinear diffusion equation
• New symmetries for a model of fast diffusion

This page was built for publication: Nonclassical Potential System Approach for a Nonlinear Diffusion Equation