Multi soliton solutions,M-lump waves and mixed soliton-lump solutions to the awada-Kotera equation in (2+1)-dimensions |
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| Institution: | 1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq;2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey;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 |
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| Abstract: | In this research paper, the well-known simple Hirota’s method is employed to study the (2+1)-dimensional Sawad-Kotera equation. The logarithmic variable transformation is implemented on the proposed problem to construct the bilinear Hirota form. Based on its bilinear representation, the features of multi soliton solutions, M-lump waves, and the mixed 1-M-lump with one-soliton, and two-soliton solutions are explored. For one M-lump solution, the wave motion in the x and y directions are also studied. To better understand the physical phenomena of the gained solutions, three-dimensional graphics and their corresponding surfaces are also presented. |
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