Bäcklund Transformations for the One-Dimensional Schrödinger Equation

被引：0
|
作者：
Neshchadim M.V. [1 ,2 ]
机构：
[1] Sobolev Institute of Mathematics, Novosibirsk
[2] Novosibirsk State University, Novosibirsk
来源：
Journal of Applied and Industrial Mathematics | 2021年 / 15卷 / 02期
关键词：
Bäcklund transformation; compatibility condition; Schrödinger equation;
D O I：
10.1134/S1990478921020125
中图分类号：
学科分类号：
摘要：
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.
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页码：307 / 314
页数：7
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