利用Hirota型的双线性形式构造复数型解

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

International Journal of Nonlinear Sciences and Numerical Simulation Pub Date : 2022-10-06 DOI:10.1515/ijnsns-2020-0172

M. Kaplan, N. Raza

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引用次数: 3

摘要

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

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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来源期刊

International Journal of Nonlinear Sciences and Numerical Simulation 工程技术-工程：综合

CiteScore

2.80

自引率

6.70%

发文量

117

审稿时长

13.7 months

期刊介绍： The International Journal of Nonlinear Sciences and Numerical Simulation publishes original papers on all subjects relevant to nonlinear sciences and numerical simulation. The journal is directed at Researchers in Nonlinear Sciences, Engineers, and Computational Scientists, Economists, and others, who either study the nature of nonlinear problems or conduct numerical simulations of nonlinear problems.