广义变系数Calogero-Bogoyavlenskii-Schiff系统的非线性波动研究

IF 2.9 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

The European Physical Journal Plus Pub Date : 2025-05-24 DOI:10.1140/epjp/s13360-025-06347-4

Yuxin Song, Guangmei Wei, Tianwei Qiu

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引用次数: 0

摘要

本文通过引入两个附加的线性项和引入时间相关系数，将经典的Calogero-Bogoyavlenskii-Schiff系统扩展为一个更广义的模型。利用Hirota双线性方法给出了双线性形式，得到了丰富的解析解，包括孤子解、块解和呼吸解。进一步讨论了这些解的传播特性以及块状孤子和单条孤子之间的相互作用。

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Nonlinear wave investigation for the generalized variable-coefficient Calogero–Bogoyavlenskii–Schiff system

This paper extends the classical Calogero–Bogoyavlenskii–Schiff system into a more generalized model by introducing two additional linear terms and incorporating time-dependent coefficients. The bilinear form is given out by the Hirota bilinear method, and abundant analytic solutions are obtained, including the soliton, lump, and breather solutions. Furthermore, the propagation characteristics of these solutions and the interaction between lump soliton and one stripe soliton are discussed.

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来源期刊

The European Physical Journal Plus PHYSICS, MULTIDISCIPLINARY-

CiteScore

5.40

自引率

8.80%

发文量

1150

审稿时长

4-8 weeks

期刊介绍： The aims of this peer-reviewed online journal are to distribute and archive all relevant material required to document, assess, validate and reconstruct in detail the body of knowledge in the physical and related sciences. The scope of EPJ Plus encompasses a broad landscape of fields and disciplines in the physical and related sciences - such as covered by the topical EPJ journals and with the explicit addition of geophysics, astrophysics, general relativity and cosmology, mathematical and quantum physics, classical and fluid mechanics, accelerator and medical physics, as well as physics techniques applied to any other topics, including energy, environment and cultural heritage.