Backlund transformations of the relativistic Schrodinger equation Full article
| Journal |
Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797 |
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| Output data | Year: 2023, Volume: 17, Number: 4, Pages: 828–841 Pages count : 14 DOI: 10.1134/S1990478923040129 | ||||
| Tags | relativistic Schrodinger equation, Backlund transformation, consistency condition | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0009 |
Abstract:
We study the system of equations obtained on the basis of the relativistic Schr¨odinger equation and relating the potential, amplitude, and phase functions. Using the methods of the theory of consistency of systems of partial differential equations, we obtain completely integrable systems that relate only two functions of the above three. The systems found are related by B¨acklund transformations.
Cite:
Neshchadim M.V.
, Simonov A.A.
Backlund transformations of the relativistic Schrodinger equation
Journal of Applied and Industrial Mathematics. 2023. V.17. N4. P.828–841. DOI: 10.1134/S1990478923040129 Scopus РИНЦ OpenAlex
Backlund transformations of the relativistic Schrodinger equation
Journal of Applied and Industrial Mathematics. 2023. V.17. N4. P.828–841. DOI: 10.1134/S1990478923040129 Scopus РИНЦ OpenAlex
Original:
Нещадим М.В.
, Симонов А.А.
Преобразования Бэклунда релятивистского уравнения Шредингера
Сибирский журнал индустриальной математики. 2023. Т.26. №4. С.109-124. DOI: 10.33048/SIBJIM.2023.26.408 РИНЦ
Преобразования Бэклунда релятивистского уравнения Шредингера
Сибирский журнал индустриальной математики. 2023. Т.26. №4. С.109-124. DOI: 10.33048/SIBJIM.2023.26.408 РИНЦ
Dates:
| Submitted: | Jul 23, 2023 |
| Accepted: | Nov 1, 2023 |
| Published print: | Feb 16, 2024 |
| Published online: | Feb 16, 2024 |
Identifiers:
| Scopus: | 2-s2.0-85185394122 |
| Elibrary: | 64771059 |
| OpenAlex: | W4391901751 |
Citing:
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