一类变型Benjamin-Ono方程的可积性

IF 2.6 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Physics Letters A Pub Date : 2025-05-28 DOI:10.1016/j.physleta.2025.130691

Min Zhao

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引用次数: 0

摘要

本文研究了一类变型Benjamin-Ono方程的可积性。首先，将方程的Lax对构造为微分Riemann-Hilbert问题。其次，利用极点展开法严格推导了该方程的解析解，并严格建立了解的有限时间爆破性。最后，建立了该方程与扰动Benjamin-Ono方程和复Burgers方程之间的变换关系。此外，我们还揭示了该方程与Calogero-Moser （CM）粒子系统之间的动力学对应关系。

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Integrabilities of a variant Benjamin-Ono equation

In this paper, we study the integrabilities of a variant Benjamin-Ono equation. Firstly, the Lax pair of the equation is constructed as a derivative Riemann-Hilbert problem. Secondly, by utilizing the pole expansion method, we rigorously derive the analytic solutions of the equation, the finite-time blow-up of solutions is rigorously established. Finally, this study establishes transformation relationships between the equation and the perturbed Benjamin-Ono equation and Complex Burgers' equation. Besides, we also unveil a dynamical correspondence between the equation and the Calogero-Moser (CM) particle system.

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来源期刊

Physics Letters A 物理-物理：综合

CiteScore

5.10

自引率

3.80%

发文量

493

审稿时长

30 days

期刊介绍： Physics Letters A offers an exciting publication outlet for novel and frontier physics. It encourages the submission of new research on: condensed matter physics, theoretical physics, nonlinear science, statistical physics, mathematical and computational physics, general and cross-disciplinary physics (including foundations), atomic, molecular and cluster physics, plasma and fluid physics, optical physics, biological physics and nanoscience. No articles on High Energy and Nuclear Physics are published in Physics Letters A. The journal''s high standard and wide dissemination ensures a broad readership amongst the physics community. Rapid publication times and flexible length restrictions give Physics Letters A the edge over other journals in the field.