Bäcklund Transformations for the One-Dimensional Schrödinger Equation

Bäcklund Transformations for the One-Dimensional Schrödinger Equation Full article

Journal

Journal of Applied and Industrial Mathematics
ISSN: 1990-4789 , E-ISSN: 1990-4797

Output data

Year: 2021, Volume: 15, Number: 2, Pages: 307-314 Pages count : 8 DOI: 10.1134/S1990478921020125

Tags

Bäcklund transformation; compatibility condition; Schrödinger equation

Authors

Neshchadim M.V. ^1,2

Affiliations

1	Sobolev Institute of Mathematics, Novosibirsk, 630090, Russian Federation
2	Novosibirsk State University, Novosibirsk, 630090, Russian Federation

Abstract: We study the system of equations which bases on the one-dimensionalSchrödinger equation and connects the potential, amplitude, and phase functions. Usingthe methods of compatibility theory of systems of partial differential equations, we obtain thecompletely integrable systems that connect only two functions of the above three. As a corollary,we construct some exact solutions of the Schrödinger equation. © 2021, Pleiades Publishing, Ltd.

Neshchadim M.V.
Bäcklund Transformations for the One-Dimensional Schrödinger Equation
Journal of Applied and Industrial Mathematics. 2021. V.15. N2. P.307-314. DOI: 10.1134/S1990478921020125 Scopus OpenAlex

Scopus:	2-s2.0-85116236772
OpenAlex:	W3203333401

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OpenAlex	1