实数和复数反向时空非局部散焦短脉冲方程的多散焦样解

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/S0040577924060060

Hui Mao

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引用次数: 0

摘要

摘要通过达尔布变换和非局部还原，构建了实数和复数反时空非局部散焦短脉冲方程的行列式多呼吸样解。结果表明，这两个方程的类多呼吸解只能通过还原双分量短脉冲方程的偶数多子解来获得。举例说明了类（1,2）呼吸解及其动力学。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Multibreather-like solutions of the real and complex reverse space–time nonlocal defocusing short-pulse equations

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Multibreather-like solutions of the real and complex reverse space–time nonlocal defocusing short-pulse equations

Multibreather-like solutions in determinant form for the real and complex reverse space–time nonlocal defocusing short-pulse equations are constructed via Darboux transformations and nonlocal reductions. It is shown that the multibreather-like solutions of these two equations can be obtained only by reducing the even multisoliton solutions of the two-component short-pulse equation. As examples, \(1,2\)-breather-like solutions and their dynamics are illustrated graphically.

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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.