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Lump and rogue wave solutions for the Broer-Kaup-Kupershmidt system
Affiliation:1. Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore, Pakistan;2. Punjab University College of Information Technology, University of the Punjab, Lahore Pakistan;3. Department of Mathematics, Cankaya University, Ankara 06790, Turkey;4. Institute of Space Sciences, 077125 Magurele, Romania;1. Department of Mathematics, Comilla University, Cumilla-3506, Bangladesh;2. Department of Mathematics, Rajshahi University, Rajshahi-6205, Bangladesh;3. Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh;4. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620, USA;5. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, China;6. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, Shandong, China;7. Department of Mathematical Sciences, North-West University, Mafikeng Campus, Mmabatho 2735, South Africa;1. College of Computer, Jiangxi University of Traditional Chinese Medicine, Jiangxi 330004, China;2. Institute of artificial intelligence, Nanchang Institute of Science and Technology, Jiangxi 330108, China
Abstract:This paper retrieves lump solution for (2+1)-dimensional Broer-Kaup-Kupershmidt (BKK) system by the aid of Hirota bilinear method (HBM). We also obtain rogue wave solutions formed by the interaction of lump solution and a pair of stripe solitons. The dynamics of these solutions are figured out graphically by selecting suitable values to parameters.
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