孤子分子和新扩展 (3 + 1) 维波伊蒂-里昂-曼纳-彭皮内利方程的新型混合作用解

IF 1.9 4区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pramana Pub Date : 2024-04-29 DOI:10.1007/s12043-024-02747-w
Kang-Jia Wang, Feng Shi, Jing-Hua Liu
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引用次数: 0

摘要

目前的研究涉及新扩展 (3 + 1) 维波伊蒂-里昂-曼纳-彭皮内利方程 (BLMPE) 的一些新解,该方程在不可压缩流体中起着关键作用。N-soliton 解(NSSs)是通过使用 Cole-Hopf 变换开发的 Hirota 形式提取的。在 NSS 的基础上,我们阐述了孤子分子的共振条件,并推导出了 (x, y)、(x, z) 和 (y, z) 平面上的 2-孤子、3-孤子和 4-孤子分子。此外,我们还探索了一些新的混合相互作用方案,包括孤子分子与孤子之间的相互作用以及呼吸溶液与孤子之间的相互作用。相应地,我们用图表描述了这些解的动态特性。本研究推导出的解都是新的,可以扩大新扩展(3 + 1)维 BLMPE 的精确解。此外,它们还能让我们更好地理解非线性动态行为。
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Soliton molecules and the novel hybrid interaction solutions of the new extended (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation

The current work is concerned with some novel solutions of the new extended (3 + 1)-dimensional Boiti–Leon–Manna–Pempinelli equation (BLMPE) that plays a key role in the incompressible fluid. The N-soliton solutions (NSSs) are extracted by virtue of the Hirota form which is developed using the Cole–Hopf transform. Based on the NSSs, we elaborate the resonance conditions of the soliton molecules and derive the soliton molecules of the 2-solitons, 3-solitons and 4-solitons on the (x, y)-, (x, z)- and (y, z)-planes. Additionally, we also explore some novel hybrid interaction solutions including the interaction between the soliton molecule and solitons and the interaction between the breather solution and the solitons. Correspondingly, the dynamic properties of the solutions are depicted graphically. The derived solutions in this study are all new and can enlarge the exact solutions of the new extended (3 + 1)-dimensional BLMPE. Besides, they can enable us to understand nonlinear dynamic behaviours better.

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来源期刊
Pramana
Pramana 物理-物理:综合
CiteScore
3.60
自引率
7.10%
发文量
206
审稿时长
3 months
期刊介绍: Pramana - Journal of Physics is a monthly research journal in English published by the Indian Academy of Sciences in collaboration with Indian National Science Academy and Indian Physics Association. The journal publishes refereed papers covering current research in Physics, both original contributions - research papers, brief reports or rapid communications - and invited reviews. Pramana also publishes special issues devoted to advances in specific areas of Physics and proceedings of select high quality conferences.
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