Hirota方程的两类椭圆型暗孤子解。

IF 2.7 2区数学 Q1 MATHEMATICS, APPLIED

Chaos Pub Date : 2025-06-01 DOI:10.1063/5.0268266

Qiaofeng Huang, Xuan Sun

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引用次数: 0

摘要

本文主要研究了Hirota方程的椭圆型暗孤子解的向下凹型和向上凸型，它们分别在上下包络面上呈现向下凹型和在下包络面上呈现向上凸型。通过分析解的上极值和下极值，给出了这两类椭圆型暗孤子的存在条件。此外，我们还研究了具有相同速度的两种类型的双椭圆暗孤子解，并研究了具有不同速度的两种类型的解之间的弹性碰撞。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Two types of elliptic dark soliton solutions for the Hirota equation.

We primarily study concave-downward and convex-upward types of elliptic dark soliton solutions for the Hirota equation, exhibiting a concave-downward shape on both upper and lower envelope surfaces and showing a convex-upward shape on the lower envelope surface, respectively. By analyzing the supremum and infimum of solutions, we provide the existence conditions for these two types of elliptic dark solitons. Additionally, we study two-elliptic dark soliton solutions combining both types with the same velocity and investigate the elastic collisions between these two types of solutions with different velocities.

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来源期刊

Chaos 物理-物理：数学物理

CiteScore

5.20

自引率

13.80%

发文量

448

审稿时长

2.3 months

期刊介绍： Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.