On the application of the Cole-Hopf transformation to hyperbolic equations based on second-sound models

DOI10.1016/j.matcom.2010.06.011zbMath1206.35012OpenAlexW1988695560MaRDI QIDQ609071

Pedro M. Jordan

Publication date: 30 November 2010

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2010.06.011

zbMATH Keywords

exact solutiontraveling waveshyperbolic Burgers' equationkinematic-wave theory

Mathematics Subject Classification ID

Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07)

Related Items (5)

A non-standard symmetry-preserving method to compute bounded solutions of a generalized Newell-Whitehead-Segel equation ⋮ The numerical solutions for the nonhomogeneous Burgers' equation with the generalized Hopf-Cole transformation ⋮ Christov-Morro theory for non-isothermal diffusion ⋮ Second-sound phenomena in inviscid, thermally relaxing gases ⋮ Hyperbolic diffusion with Christov-Morro theory

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• On a quasi-linear parabolic equation occurring in aerodynamics

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