Bäcklund transformations for diffusion equations

DOI10.1016/0167-2789(82)90009-4zbMath1194.37118OpenAlexW2021165456MaRDI QIDQ995179

Walter Strampp

Publication date: 13 September 2010

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

Full work available at URL: https://doi.org/10.1016/0167-2789(82)90009-4

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (2)

Hierarchy of conservation laws of diffusion-convection equations ⋮ Potential conservation laws

Cites Work

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• The Estabrook-Wahlquist method with examples of application
• Similarity methods for differential 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]
• Group Transformations and the Nonlinear Heat Diffusion Equation
• On the exactly solvable equation$S_t = [ ( \beta S + \gamma )^{ - 2} S_x _x + \alpha ( \beta S + \gamma )^{ - 2} S_x $ Occurring in Two-Phase Flow in Porous Media]
• Bäcklund transformations for hereditary symmetries

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