Standard

Bäcklund Transformations of the Relativistic Schrödinger Equation. / Neshchadim, M. V.; Simonov, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 17, No. 4, 09.2023, p. 828-841.

Research output: Contribution to journal › Article › peer-review

Harvard

Neshchadim, MV & Simonov, AA 2023, 'Bäcklund Transformations of the Relativistic Schrödinger Equation', Journal of Applied and Industrial Mathematics, vol. 17, no. 4, pp. 828-841. https://doi.org/10.1134/s1990478923040129

APA

Neshchadim, M. V., & Simonov, A. A. (2023). Bäcklund Transformations of the Relativistic Schrödinger Equation. Journal of Applied and Industrial Mathematics, 17(4), 828-841. https://doi.org/10.1134/s1990478923040129

Vancouver

Neshchadim MV, Simonov AA. Bäcklund Transformations of the Relativistic Schrödinger Equation. Journal of Applied and Industrial Mathematics. 2023 Sept;17(4):828-841. doi: 10.1134/s1990478923040129

Author

Neshchadim, M. V. ; Simonov, A. A. / Bäcklund Transformations of the Relativistic Schrödinger Equation. In: Journal of Applied and Industrial Mathematics. 2023 ; Vol. 17, No. 4. pp. 828-841.

BibTeX

@article{414dc0c892e747d9a88f29022287263b,
title = "B{\"a}cklund Transformations of the Relativistic Schr{\"o}dinger Equation",
abstract = "We study the system of equations obtained on the basis of the relativisticSchr{\"o}dinger equation and relating the potential, amplitude, and phase functions. Usingthe methods of the theory of consistency of systems of partial differential equations, we obtaincompletely integrable systems that relate only two functions of the above three. The systemsfound are related by B{\"a}cklund transformations.",
author = "Neshchadim, {M. V.} and Simonov, {A. A.}",
note = "This work was carried out with financial support from the Fundamental Scientific Research Program of the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0009. Публикация для корректировки.",
year = "2023",
month = sep,
doi = "10.1134/s1990478923040129",
language = "English",
volume = "17",
pages = "828--841",
journal = "Journal of Applied and Industrial Mathematics",
issn = "1990-4789",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "4",

}

RIS

TY - JOUR

T1 - Bäcklund Transformations of the Relativistic Schrödinger Equation

AU - Neshchadim, M. V.

AU - Simonov, A. A.

N1 - This work was carried out with financial support from the Fundamental Scientific Research Program of the Sobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences, project no. FWNF-2022-0009. Публикация для корректировки.

PY - 2023/9

Y1 - 2023/9

N2 - We study the system of equations obtained on the basis of the relativisticSchrödinger equation and relating the potential, amplitude, and phase functions. Usingthe methods of the theory of consistency of systems of partial differential equations, we obtaincompletely integrable systems that relate only two functions of the above three. The systemsfound are related by Bäcklund transformations.

AB - We study the system of equations obtained on the basis of the relativisticSchrödinger equation and relating the potential, amplitude, and phase functions. Usingthe methods of the theory of consistency of systems of partial differential equations, we obtaincompletely integrable systems that relate only two functions of the above three. The systemsfound are related by Bäcklund transformations.

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85185394122&origin=inward&txGid=a196a0944a4c71be3ff6a8708bb64e7a

UR - https://www.mendeley.com/catalogue/ca4a2c53-9164-31f4-9381-9a582ad33511/

U2 - 10.1134/s1990478923040129

DO - 10.1134/s1990478923040129

M3 - Article

VL - 17

SP - 828

EP - 841

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 4

ER -

ID: 59727834