负阶非线性薛定谔方程的孤子解

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

Theoretical and Mathematical Physics Pub Date : 2024-05-24 DOI:10.1134/S0040577924050052

G. U. Urazboev, I. I. Baltaeva, A. K. Babadjanova

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引用次数: 0

摘要

我们通过反散射问题方法讨论了快速递减函数类中负阶非线性薛定谔方程的考希问题积分。特别是，我们获得了扎哈罗夫-沙巴特系统的散射数据的时间依赖性，该系统的势是所考虑问题的解。根据所获得的结果，我们给出了负阶非线性薛定谔方程一孑子解的显式表示。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Soliton solutions of the negative-order nonlinear Schrödinger equation

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Soliton solutions of the negative-order nonlinear Schrödinger equation

We discuss the integration of the Cauchy problem for the negative-order nonlinear Schrödinger equation in the class of rapidly decreasing functions via the inverse scattering problem method. In particular, we obtain the time dependence of scattering data of the Zakharov–Shabat system with the potential that is a solution of the considered problem. We give an explicit representation of the one-soliton solution of the negative-order nonlinear Schrödinger equation based on the obtained results.

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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.