Metamorphism - an integral transform reducing the order of a differential equation

• Autorzy: Kisil Vladimir V.

Identyfikatory

DOI

10.1515/jaa-2022-1042

• Języki publikacji: EN

Abstrakty

EN

We propose an integral transform, called metamorphism, which allows us to reduce the order of a differential equation. For example, the second-order Helmholtz equation is transformed into a first-order equation, which can be solved by the method of characteristics.

Słowa kluczowe

EN

partial differential equation; integral transform; Helmholtz equation; coherent states

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2023
• Tom: Vol. 29, nr 2
• Strony: 219--227
• Opis fizyczny: Bibliogr. 21 poz., il. kolor.

Twórcy

autor

Kisil Vladimir V.

• School of Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom

• https://orcid.org/0000-0002-6593-6147

Bibliografia

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• [3] F. Almalki and V. V. Kisil, Solving the Schrödinger equation by reduction to a first-order differential operator through a coherent states transform, Phys. Lett. A 384 (2020), no. 16, Article ID 126330.
• [4] T. Alqurashi and V. V. Kisil, Metamorphism as a covariant transform for the SSR group, preprint (2023), https://arxiv.org/abs/2301. 05879.
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• [17] A. D. Polyanin and V. E. Nazaikinskii, Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd ed., CRC Press, Boca Raton, 2016.
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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).