On the integration of the self-similar equations, and the meaning of the Cole–Hopf transformation

DOI10.1063/1.527308zbMath0629.35108OpenAlexW2053755329MaRDI QIDQ3766223

B. Gaffet

Publication date: 1986

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527308

zbMATH Keywords

existenceBurgers equationfirst integralCole-Hopf transformself-similar equations

Mathematics Subject Classification ID

Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (1)

Solutions to Painleve III and other nonlinear equations by a generalized Cole–Hopf transformation

Cites Work

• The Painlevé property for partial differential equations
• SU(3) symmetry of the equations of unidimensional gas flow, with arbitrary entropy distribution
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I

This page was built for publication: On the integration of the self-similar equations, and the meaning of the Cole–Hopf transformation