Multiple rational rogue waves for higher dimensional nonlinear evolution equations via symbolic computation approach

IF 13 1区 工程技术 Q1 ENGINEERING, MARINE Journal of Ocean Engineering and Science Pub Date : 2023-01-01 DOI:10.1016/j.joes.2021.11.001
Saima Arshed , Nauman Raza , Asma Rashid Butt , Ahmad Javid , J.F. Gómez-Aguilar
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引用次数: 6

Abstract

The paper investigates the multiple rogue wave solutions associated with the generalized Hirota–Satsuma–Ito (HSI) equation and the newly proposed extended (3 + 1)-dimensional Jimbo–Miwa (JM) equation with the help of a symbolic computation technique. By incorporating a direct variable transformation and utilizing Hirota’s bilinear form, multiple rogue wave structures of different orders are obtained for both generalized HSI and JM equation. The obtained bilinear forms of the proposed equations successfully investigate the 1st, 2nd and 3rd-order rogue waves. The constructed solutions are verified by inserting them into original equations. The computations are assisted with 3D graphs to analyze the propagation dynamics of these rogue waves. Physical properties of these waves are governed by different parameters that are discussed in details.

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用符号计算方法求解高维非线性演化方程的多重有理流氓波
本文借助符号计算技术研究了广义Hirota–Satsuma–Ito(HSI)方程和新提出的(3+1)维广义Jimbo–Miwa(JM)方程的多个无赖波解。通过引入直接变量变换并利用Hirota的双线性形式,得到了广义HSI和JM方程的多个不同阶次的流氓波结构。所获得的所提出方程的双线性形式成功地研究了一阶、二阶和三阶无赖波。通过将构造的解插入原始方程中来验证它们。这些计算借助于3D图形来分析这些无赖波的传播动力学。这些波的物理性质由详细讨论的不同参数决定。
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来源期刊
CiteScore
11.50
自引率
19.70%
发文量
224
审稿时长
29 days
期刊介绍: The Journal of Ocean Engineering and Science (JOES) serves as a platform for disseminating original research and advancements in the realm of ocean engineering and science. JOES encourages the submission of papers covering various aspects of ocean engineering and science.
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