Work

Fundamental Transformations to Inhomogeneous Parabolic PDEs

Year: 2025
Type: article
Abstract: The present paper is devoted to inhomogeneous (1 + 1) parabolic equations. In particular, we find a mapping which transforms the equations into a target equation. We prove a necessary condition which allows for the inhomogeneity to vanish. Consequently, we provide a concise presentation on a method of integrability of these equations. The theory is illustrated by several examples.
Language: English
Open Access status: gold
Estimated APC paid: $2,160
OpenAlex ID: W4413237405
FWCI: 3.847
Cites: 21
Cited by: 2
Related to: 10