The generalized Cole-Hopf transformation for a generalized Burgers-Fisher equation with spatiotemporal variable coefficients

DOI10.1016/J.AML.2021.107074zbMath1462.35011OpenAlexW3126982891MaRDI QIDQ2022257

Quting Chen, Yadong Shang

Publication date: 28 April 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107074

zbMATH Keywords

Bäcklund transformationexplicit exact solutionsimplified homogeneous balance method

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Semilinear parabolic equations (35K58)

Related Items (1)

Lie symmetry analysis, exact solutions, and conservation laws of variable-coefficients Boiti-Leon-Pempinelli equation

Cites Work

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• \(N\)-dimensional auto-Bäcklund transformation and exact solutions to \(n\)-dimensional Burgers system
• On Bäcklund transformation for a generalized Burgers equation and solitonic solutions
• The Hopf-Cole transformation, topological solitons and multiple fusion solutions for the \(n\)-dimensional Burgers system
• The generalized Cole-Hopf transformation to a general variable coefficient Burgers equation with linear damping term
• Generalized Burgers Equations Transformable to the Burgers Equation
• Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients
• A nonlinear transformation and a boundary-initial value problem for a class of nonlinear convection-diffusion equations

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