ON SOME CLASSES OF LINEARIZABLE REACTION-CONVECTION-DIFFUSION EQUATIONS

DOI10.1142/S0219530504000266zbMath1073.35111OpenAlexW2165750379MaRDI QIDQ4474602

Masayasu Mimura, Marianito R. Rodrigo

Publication date: 12 July 2004

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530504000266

zbMATH Keywords

hodograph transformationquasilinear equationHopf-Cole transformationClarkson-Fokas-Ablowitz equation

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Reaction-diffusion equations (35K57) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05)

Cites Work

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• Hodograph Transformations of Linearizable Partial Differential Equations
• On the remarkable nonlinear diffusion equation (∂/∂x)[a (u+b)−2(∂u/∂x)−(∂u/∂t)=0]
• A symmetry approach to exactly solvable evolution equations
• 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]
• On a nonlinear reaction-diffusion boundary-value problem: application of a Lie-Bäcklund symmetry
• The partial differential equation u_t + uu_x = μ_xx

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