M-lump waves and their interactions with multi-soliton solutions for the (3 + 1)-dimensional Jimbo–Miwa equation

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2022-08-09 DOI:10.1515/ijnsns-2021-0468

H. Ismael, S. El‐Ganaini, H. Bulut

引用次数: 2

Abstract

Abstract In this work, the dynamical behaviors of the Jimbo–Miwa equation that describes certain interesting (3 + 1)-dimensional waves in physics but does not pass any of the conventional integrability tests are studied. One-, two-, and three-M-lump waves are constructed successfully. Interactions between one-M-lump and one-soliton wave, between one-M-lump and two-soliton wave as well as between two-M-lump and one-soliton solution are reported. Also, complex multi-soliton, solutions are offered. The simplified Hirota’s method and a long-wave method are used to construct these types of solutions. The velocity of a one-M-lump wave is studied. Straight Lines of travel for M-lump waves are also reported. To our knowledge, all gained solutions in this research paper are novel and not reported beforehand. Moreover, the gained solutions are presented graphically in three dimensions to better understand the physical phenomena of the suggested equation.

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（3+1）维Jimbo–Miwa方程的M-块波及其与多孤子解的相互作用

本文研究了Jimbo-Miwa方程的动力学行为，该方程描述了物理学中某些有趣的(3 + 1)维波，但没有通过任何常规的可积性检验。成功地构造了一m、二m和三m块波。报道了单m块与单孤子波、单m块与双孤子波、双m块与单孤子解之间的相互作用。并给出了复杂多孤子的解决方案。用简化的Hirota法和长波法来构造这类解。研究了1m块波的速度。m块波的直线传播也有报道。据我们所知，本研究论文所获得的所有解决方案都是新颖的，没有事先报道过。此外，获得的解以三维图形形式呈现，以便更好地理解所建议方程的物理现象。

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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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.