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Fundamental Transformations to Inhomogeneous Parabolic PDEs

Sameerah Jamal

Journal of Mathematics, 2025, vol. 2025, 1-8

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:5578333

DOI: 10.1155/jom/5578333

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