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Resonant solutions and breathers to the BKP equation |
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| Authors: | Zhou Yuan Manukure Solomon Zhang Chao Zhang Xiaojing |
| Institution: | 1.Xianda College of Economics and Humanities Shanghai International Studies University, Shanghai, People’s Republic of China ;2.Department of Mathematics, Florida Agricultural and Mechanical University, Tallahassee, USA ; |
| Abstract: | In this paper, we derive resonant and breather solutions from multi-soliton solutions of the B-type Kadomtsev–Petviashvili (BKP) equation of fourth order via the Hirota bilinear method. We first discuss N-soliton solutions of the BKP equation and use the linear superposition principle to generate N-resonant solutions. Subsequently, we construct complexiton and breather solutions and finally, study the dynamics of some selected solutions with the aid of 3D plots, contour plots and density plots. |
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