流体力学中二次扩展(3+1)维Jimbo-Miwa方程的新孤子分子解

IF 2.4 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Communications in Theoretical Physics Pub Date : 2023-11-03 DOI:10.1088/1572-9494/ad0960

Hongcai Ma, Xiaoyu Chen, Aiping Deng

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引用次数: 0

摘要

摘要本文的主要目的是研究流体中第二扩展(3+1)维Jimbo-Miwa方程的不同类型孤子分子解。用Hirota双线性方法直接得到了线孤子、呼吸波、块状解和共振y型解四种不同的局域波。将速度共振条件与长波极限法相结合，得到了仅由线波、呼吸波或块状波组成的分子解。并推导出由不同波组成的分子溶液，如直线呼吸分子、块状呼吸分子、块状呼吸分子等。同时，获得了仅由线波组成的高阶分子溶液。这些发现可以用来解释海浪和非线性光学中的一些自然现象。

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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Novel soliton molecule solutions for the second extend (3+1)-dimensional Jimbo–Miwa equation in fluid mechanics

Abstract The main aim of this paper is to investigate the different types of soliton molecule solutions of the second extend (3+1)-dimensional Jimbo-Miwa quation in a fluid. Four different localized waves: line solitons, breather waves, lump solutions and resonance Y-type solutions are obtained by the Hirota bilinear method directly. Furthermore, the molecule solutions consisting of only line waves, breathers or lump waves are generated by combining velocity resonance condition and long wave limit method. Also the molecule solutions such as line-breather molecule, lump-line molecule, lump-breather molecule etc.consisting of different waves are derived. Meanwhile, higher-order molecule solutions composed of only line waves are accquired. All of the above findings can be used to explain some natural phenomena in the ocean waves and nonlinear optics.

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来源期刊

Communications in Theoretical Physics 物理-物理：综合

CiteScore

5.20

自引率

3.20%

发文量

6110

审稿时长

4.2 months

期刊介绍： Communications in Theoretical Physics is devoted to reporting important new developments in the area of theoretical physics. Papers cover the fields of: mathematical physics quantum physics and quantum information particle physics and quantum field theory nuclear physics gravitation theory, astrophysics and cosmology atomic, molecular, optics (AMO) and plasma physics, chemical physics statistical physics, soft matter and biophysics condensed matter theory others Certain new interdisciplinary subjects are also incorporated.