New families of exact soliton-like solutions and dromion solutions to the (2+1)-dimensional higher-order Broer–Kaup equations |
| |
| Institution: | 1. Department of Mathematics, Bohai University, Jinzhou 121000, PR China;2. Department of Mathematics, Shanghai University, Shanghai 200436, PR China;1. Department of Mathematics, College of Science, Hohai University, Nanjing 210098, PR China;2. Department of Computer Science and Engineering, Northern University of Business and Technology Khulna, Khulna 9100, Bangladesh;3. Department of Mathematics, Islamic University, Kushtia 7003, Bangladesh;1. Department of Mathematics, University of the Punjab, Lahore–54590, Pakistan;2. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;3. Department of Mathematics, King Abdulaziz University, Jeddah-21589, Saudi Arabia;4. Department of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Shosse, Moscow-115409, Russian Federation;5. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria-0008, South Africa;6. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. University of Dundee, School of Life Sciences, Dow Street, Dundee DD1 5EH, UK;2. Institut de Biologia Evolutiva (CSIC-Universitat Pompeu Fabra), Passeig Marítim de la Barceloneta 37-49, 08003 Barcelona, Spain |
| |
| Abstract: | Using homogeneous balance method we obtain Bäcklund transformation (BT) and a linear partial differential equation of higher-order Broer–Kaup equations. As a result, new soliton-like solutions and new dromion solution and other exact solutions of (2 + 1)-dimensional higher-order Broer–Kaup equations are given. By analyzing a soliton-like solution, we get some dromions solutions. This method, which can be generalized to some (2 + 1)-dimensional nonlinear evolution equations, is simple and powerful. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
