Fission and Fusion in the New Localized Structures to the Integrable (2 + 1)-Dimensional Higher-Order Broer–Kaup System |
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Authors: | Emmanuel Yomba Yan-ze Peng |
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Affiliation: | (1) Institute for Mathematics and Its Applications, University of Minnesota, Minneapolis, Minnesota, USA;(2) Department of Physics, Faculty of Sciences, University of Ngaoundéré, P.O. Box 454, Ngaoundéré, Cameroon, USA;(3) Department of Mathematics, Huazhong University of Science and Technology, Wuhan, 430074, P.R. China;(4) Institute for Mathematics and Its Applications, University of Minnesota, 400 Lind Hall, 207 Church Street S.E., Minneapolis, Minnesota 55455, USA |
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Abstract: | By means of the Weiss–Tabor–Carnevale (WTC) truncation method and the general variable separation approach (GVSA), analytical investigation of the integrable (2+1)-dimensional higher-order Broer–Kaup (HBK) system shows, due to the possibility of selecting three arbitrary func.tions, the existence of interacting coherent excitations such as dromions, solitons, periodic solitons, etc. The interaction between some of the localized solutions are elastic because they pass through each other and preserve their shapes and velocities, the only change being the phase shift. However, as for some soliton models, completely non-elastic interactions have been found in this model. These non-elastic interactions are characterized by the fact that, at a specific time, one soliton may fission to two or more solitons; or on the contrary, two or more solitons will fuse to one soliton. |
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Keywords: | Fission fusion localized structures (2 + 1)-Dimensional Higher Order Broer-Kaup System non-elastic interactions general variable separation approach variable separation approach |
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