声学超材料纵向变形波的广义非线性Schrödinger方程

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/S0040577925090107

A. V. Porubov

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引用次数: 0

摘要

我们渐近地得到了超材料中非线性变形波的广义Schrödinger方程。它被证明是类似于为光波导出的Sasa-Satsuma方程。我们研究了与Schrödinger方程推广相关的局部变形波形式的解的区别。

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Generalized nonlinear Schrödinger equation for longitudinal deformation waves in an acoustic metamaterial

We asymptotically obtain a generalized Schrödinger equation for nonlinear deformation waves in a metamaterial. It turns out to be analogous to the Sasa–Satsuma equation derived for optical waves. We study distinctions in the solution in the form of localized deformation waves related to the generalization of the Schrödinger equation.

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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.