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

作　　者：Saima Arshed Nauman Raza Asma Rashid Butt Ahmad Javid J.F.Gómez-Aguilar 

机构地区：[1]Department of Mathematics,University of the Punjab,Quaid-e-Azam Campus,Lahore,Pakistan [2]Department of Mathematics,University of Engineering and Technology,Lahore,Pakistan [3]School of Natural Sciences(SNS),National University of Sciences and Technology(NUST),Islamabad 44000,Pakistan [4]CONACyT-Tecnológico Nacional de México/CENIDET,Interior Internado Palmira S/N,Col.Palmira,Cuernavaca Morelos C.P.62490,México

出　　处：《Journal of Ocean Engineering and Science》2023年第1期33-41,共9页海洋工程与科学（英文）

摘　　要：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 trans-formation and utilizing Hirota’s bilinear form,multiple rogue wave structures of different orders are ob-tained 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.

关 键 词：Generalized Hirota-Satsuma-Ito(HSI) equation The new extended(3+1)-dimensional Jimbo-Miwaequation Symbolic computation approach Bilinear form Rogue wave solutions 

分 类 号：TP391.1[自动化与计算机技术—计算机应用技术]