Contact germs and partial differential equations

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1. Verfasser: Kaptsov, O. V.
Format: Preprint
Veröffentlicht: 2024
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_version_ 1866914752953843712
author Kaptsov, O. V.
author_facet Kaptsov, O. V.
contents The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equations generalizing point and contact symmetries are defined. New transformations and symmetries may depend on derivatives of arbitrary but finite order. The stationary Schrödinger equations, acoustics and gas dynamics equations are considered as examples.
format Preprint
id arxiv_https___arxiv_org_abs_2404_01955
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Contact germs and partial differential equations
Kaptsov, O. V.
Exactly Solvable and Integrable Systems
The article introduces contact germs that transform solutions of some partial differential equations into solutions of other equations. Parametric symmetries of differential equations generalizing point and contact symmetries are defined. New transformations and symmetries may depend on derivatives of arbitrary but finite order. The stationary Schrödinger equations, acoustics and gas dynamics equations are considered as examples.
title Contact germs and partial differential equations
topic Exactly Solvable and Integrable Systems
url https://arxiv.org/abs/2404.01955