Implicit quiescent solitons in optical metamaterials with an array of self-phase modulation structures by Lie symmetry

IF 1.1 4区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Theoretical and Mathematical Physics Pub Date : 2025-09-26 DOI:10.1134/S0040577925090016

A. R. Adem, A. Biswas, Y. Yildirim

引用次数: 0

Abstract

We find implicit quiescent solitons in optical metamaterials with nonlinear chromatic dispersion and several forms of self-phase modulation structures. The temporal evolution is however assumed to be linear. Some of the self-phase modulation structures yield results with quadratures. In each case, the governing model is integrated by applying Lie symmetry.

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具有李氏对称自相位调制结构阵列的光学超材料中的隐式静态孤子

我们在具有非线性色散和几种自相位调制结构的光学超材料中发现了隐式静态孤子。然而，假定时间演化是线性的。一些自相位调制结构产生正交结果。在每种情况下，控制模型都是通过李对称来集成的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.