Construction of complexiton-type solutions using bilinear form of Hirota-type

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research Pub Date : 2022-10-06 DOI:10.1515/ijnsns-2020-0172

M. Kaplan, N. Raza

引用次数: 3

Abstract

Abstract In this paper, based on the Hirota bilinear form and the extended transformed rational function method, complexiton solutions have been found of the Hirota–Satsuma–Ito (HSI) equation and generalized Calogero–Bogoyavlenskii–Schiff equation through a direct symbolic computation with Maple. This method is the improved form of the transformed rational function method. The obtained complexiton solutions, includes trigonometric and hyperbolic trigonometric solutions, have verified utilizing Hirota bilinear forms. Also, a graphical representation of the obtained solutions is given.

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利用Hirota型的双线性形式构造复数型解

摘要本文基于Hirota双线性形式和扩展的变换有理函数方法，用Maple直接符号计算，得到了Hirota–Satsuma–Ito（HSI）方程和广义Calogero–Bogoyavlenskii–Schiff方程的复数解。该方法是变换有理函数方法的改进形式。所获得的复数解，包括三角和双曲三角解，已经利用Hirota双线性形式进行了验证。此外，还给出了所获得的解的图形表示。

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.

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