修正Camassa-Holm-Kadomtsev-Petviashvili方程的单峰孤波解

IF 1.3 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2025-06-27 DOI:10.1007/s00021-025-00953-z

Byungsoo Moon

引用次数: 0

摘要

修正Camassa-Holm- kadomtsev - petviashvili方程是修正Camassa-Holm方程的二维推广。在本文中，我们将证明改进的Camassa-Holm-Kadomtsev-Petviashvili方程允许在直线上和圆上具有单峰的孤立波解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation

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A Single Peaked Solitary Wave Solution of the Modified Camassa-Holm-Kadomtsev-Petviashvili Equation

The modified Camassa-Holm-Kadomtsev–Petviashvili equation is a two-dimensional extension of the modified Camassa-Holm equation. In this paper, we will demonstrate that the modified Camassa-Holm-Kadomtsev–Petviashvili equation allows for solitary wave solutions with a single peak, both on a line and on a circle.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.