相对论薛定谔方程的贝克隆变换

IF 0.58 Q3 Engineering Journal of Applied and Industrial Mathematics Pub Date : 2024-02-16 DOI:10.1134/s1990478923040129

M. V. Neshchadim, A. A. Simonov

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引用次数: 0

摘要

摘要我们研究了在相对论薛定谔方程基础上得到的与势函数、振幅函数和相位函数有关的方程系统。利用偏微分方程系统一致性理论的方法，我们得到了上述三个函数中只有两个函数相关的完全可积分系统。所发现的系统是通过贝克隆变换相关联的。

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Bäcklund Transformations of the Relativistic Schrödinger Equation

Abstract

We study the system of equations obtained on the basis of the relativistic Schrödinger 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 Bäcklund transformations.

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来源期刊

Journal of Applied and Industrial Mathematics Engineering-Industrial and Manufacturing Engineering

CiteScore

1.00

自引率

0.00%

发文量

期刊介绍： Journal of Applied and Industrial Mathematics is a journal that publishes original and review articles containing theoretical results and those of interest for applications in various branches of industry. The journal topics include the qualitative theory of differential equations in application to mechanics, physics, chemistry, biology, technical and natural processes; mathematical modeling in mechanics, physics, engineering, chemistry, biology, ecology, medicine, etc.; control theory; discrete optimization; discrete structures and extremum problems; combinatorics; control and reliability of discrete circuits; mathematical programming; mathematical models and methods for making optimal decisions; models of theory of scheduling, location and replacement of equipment; modeling the control processes; development and analysis of algorithms; synthesis and complexity of control systems; automata theory; graph theory; game theory and its applications; coding theory; scheduling theory; and theory of circuits.