本杰明-奥诺双组分系统的分类

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

Theoretical and Mathematical Physics Pub Date : 2024-04-26 DOI:10.1134/s0040577924040093

Min Zhao, Changzheng Qu

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引用次数: 0

摘要

摘要涉及希尔伯特变换的本杰明-奥诺方程已从不同角度得到广泛研究。人们提出了它的变体形式和多分量扩展。本文研究了一般形式的双分量本杰明-奥诺型系统的分类。我们的分类是通过发展 Mikhailov 和 Novikov 提出的微扰对称方法进行的。因此，我们得到了新的双分量可积分本杰明-奥诺型系统。

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Classification of the two-component Benjamin–Ono systems

Abstract

The Benjamin–Ono equation involving the Hilbert transformation has been studied extensively from different standpoints. Its variant forms and multi-component extensions have been proposed. In this paper, we study the classification of two-component Benjamin–Ono-type systems of the general form. Our classification is carried out by developing the perturbative symmetry approach due to Mikhailov and Novikov. As a result, new two-component integrable Benjamin–Ono type systems are obtained.

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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.