A generalised Cole-Hopf transformation for nonlinear parabolic and hyperbolic equations

DOI10.1007/BF01590817zbMath0399.35094OpenAlexW1985236046MaRDI QIDQ1254676

P. L. Sachdev

Publication date: 1978

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01590817

zbMATH Keywords

Hyperbolic EquationsCole-Hopf TransformationNonlinear Parabolic

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Second-order nonlinear hyperbolic equations (35L70) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Partial differential equations of mathematical physics and other areas of application (35Q99) Initial value problems for second-order parabolic equations (35K15)

Related Items

Solutions to Painleve III and other nonlinear equations by a generalized Cole–Hopf transformation ⋮ Generalized Burgers Equations Transformable to the Burgers Equation ⋮ On the application of the Cole-Hopf transformation to hyperbolic equations based on second-sound models ⋮ Nonlinear heat diffusion under impulsive forcing ⋮ Asymptotic periodic solutions of some generalized Burgers equations ⋮ On the generalization of the Cole-Hopf transformation ⋮ Exact N‐Wave Solutions of Generalized Burgers Equations ⋮ Exact analysis of nonlinear instability in a discrete Burgers' equation ⋮ Cole‐Hopf Transformations for Higher Dimensional Burgers Equations With Variable Coefficients ⋮ Simulations of nonlinear parabolic PDEs with forcing function without linearization ⋮ Existence and uniqueness of a non-negative monotonic solution of a nonlinear ordinary differential equation

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