A new method for finding special solutions of nonlinear diffusion equation

DOI10.1007/s11071-008-9368-9zbMath1179.35022OpenAlexW2005133175MaRDI QIDQ840291

Maochang Qin, Guihong Fan

Publication date: 11 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-008-9368-9

zbMATH Keywords

auxiliary function

Mathematics Subject Classification ID

Solutions to PDEs in closed form (35C05) Other special methods applied to PDEs (35A25) Quasilinear parabolic equations (35K59)

Cites Work

• Potential nonclassical symmetries and solutions of fast diffusion equation
• Symmetry reductions and exact solutions of a class of nonlinear heat equations
• Nonlinear partial differential equations in engineering. Vol. II
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• Differential constraints and exact solutions of nonlinear diffusion equations
• Invariant subspaces and new explicit solutions to evolution equations with quadratic nonlinearities
• LINEAR DETERMINING EQUATIONS FOR DIFFERENTIAL CONSTRAINTS
• New symmetries for a model of fast diffusion
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