具有时变系数的(2 + 1)维耦合非线性演化方程的高阶呼吸、整体和混合解

IF 1.7 4区数学 Q2 MATHEMATICS, APPLIED

International Journal of Computer Mathematics Pub Date : 2023-05-26 DOI:10.1080/00207160.2023.2219349

Chen J. Wang, Houping Dai, Meng-jun Li, Yinghua Feng

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引用次数: 0

摘要

本文利用Hirota双线性方法研究了非均匀介质中一类(2 + 1)维耦合非线性时变系数演化方程。结合长波极限法和复共轭变换，初步构造了高阶呼吸解和块状解。此外，通过对参数的线性约束，导出了n孤子解、块解和呼吸解之间的混合解。同时，以图像的形式直观地展示了一些特殊混凝土解在不同时变系数下的动态演化行为。

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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Higher-order breather, lump and hybrid solutions of (2 + 1)-dimensional coupled nonlinear evolution equations with time-dependent coefficients

This paper investigates a class of (2 + 1)-dimensional coupled nonlinear evolution equation with time-dependent coefficients in an inhomogeneous medium via the Hirota bilinear method. Combining the long wave limit method and complex conjugate transform, the higher-order breather and lump solutions are initially constructed. Furthermore, hybrid solutions among N-soliton, lump and breather solutions are derived by linear constraints on the parameters. Meanwhile, the dynamic evolution behaviour of some special concrete solutions under different time-dependent coefficients is presented visually in the form of images.

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来源期刊

International Journal of Computer Mathematics 数学-应用数学

CiteScore

3.60

自引率

0.00%

发文量

审稿时长

5 months

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