Kisil, V.V. orcid.org/0000-0002-6593-6147 (2023) Metamorphism—an integral transform reducing the order of a differential equation. Journal of Applied Analysis, 29 (2). pp. 219-227. ISSN 1425-6908
Abstract
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.
Metadata
| Item Type: | Article | 
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| Authors/Creators: | 
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| Copyright, Publisher and Additional Information: | This is an author produced version of an article published in the Journal of Applied Analysis, made available under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License (CC BY-NC-SA 4.0.). | 
| Keywords: | Partial differential equation; integral transform; Helmholtz equation; coherent states | 
| Dates: | 
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| Institution: | The University of Leeds | 
| Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) | 
| Depositing User: | Symplectic Publications | 
| Date Deposited: | 28 Apr 2025 13:10 | 
| Last Modified: | 09 May 2025 15:27 | 
| Published Version: | https://www.degruyterbrill.com/document/doi/10.151... | 
| Status: | Published | 
| Publisher: | De Gruyter | 
| Identification Number: | 10.1515/jaa-2022-1042 | 
| Related URLs: | |
| Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:225843 | 

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