Finite-gap solutions of the real modified Korteweg–de Vries equation

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

Theoretical and Mathematical Physics Pub Date : 2024-07-27 DOI:10.1134/S0040577924070122

A. O. Smirnov, I. V. Anisimov

引用次数: 0

Abstract

We consider methods for constructing finite-gap solutions of the real classical modified Korteweg–de Vries equation and elliptic finite-gap potentials of the Dirac operator. The Miura transformation is used in both methods to relate solutions of the Korteweg–de Vries and modified Korteweg–de Vries equations. We present examples.

查看原文本刊更多论文

实修正科特韦格-德-弗里斯方程的有限间隙解

摘要我们考虑了构建实经典修正 Korteweg-de Vries 方程的有限间隙解和狄拉克算子的椭圆有限间隙势的方法。这两种方法都使用了三浦变换（Miura transformation），将 Korteweg-de Vries 方程和修正 Korteweg-de Vries 方程的解联系起来。我们将举例说明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.