具有自洽源和动力学的非局部非线性薛定谔方程的层次结构

IF 1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2024-06-25 DOI:10.1134/S0040577924060047

Qi Li, Qiu-yuan Duan

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引用次数: 0

摘要

摘要介绍了具有自洽源的非局部非线性薛定谔方程的层次结构。物理上重要的非线性方程与 AKNS 谱问题相关。在非局部情况下，\(L\)算子的平方特征函数会导致影响孤子运动的源项发生一些变化。利用反散射变换给出了具有自洽源的非局部非线性薛定谔方程的孤子解。图示了孤子的动力学特性，与无源非局部方程的动力学特性不同。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics

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A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources and dynamics

A hierarchy of the nonlocal nonlinear Schrödinger equation with self-consistent sources is introduced. The physically significant nonlinear equation is associated with the AKNS spectral problem. In the nonlocal case, the squared eigenfunction of the \(L\) operator leads to some changes in the term of the source that affect the motion of solitons. The soliton solutions of the nonlocal nonlinear Schrödinger equation with self-consistent sources are presented using the inverse scattering transform. The dynamics of the solitons are illustrated, which differ from those of the nonlocal equation without a source.

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来源期刊

Theoretical and Mathematical Physics 物理-物理：数学物理

CiteScore

1.60

自引率

20.00%

发文量

103

审稿时长

4-8 weeks

期刊介绍： Theoretical and Mathematical Physics covers quantum field theory and theory of elementary particles, fundamental problems of nuclear physics, many-body problems and statistical physics, nonrelativistic quantum mechanics, and basic problems of gravitation theory. Articles report on current developments in theoretical physics as well as related mathematical problems. Theoretical and Mathematical Physics is published in collaboration with the Steklov Mathematical Institute of the Russian Academy of Sciences.