Breather wave,periodic, and cross-kink solutions to the generalized Bogoyavlensky-Konopelchenko equation |
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| Authors: | Jalil Manafian Behnam Mohammadi Ivatloo Mehdi Abapour |
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| Institution: | 1. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;2. Faculty of Electrical and Computer Engineering, University of Tabriz, Tabriz, Iran |
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| Abstract: | The present article deals with multi-waves and breather wave solutions of the generalized Bogoyavlensky-Konopelchenko equation by virtue of the Hirota bilinear operator method and the semi-inverse variational principle. The obtained solutions for solving the current equation represent some localized waves including soliton, periodic, and cross-kink solutions in which have been investigated by the approach of the bilinear method. With certain parameter constraints in the multi-waves and breather, all cases of the periodic and cross-kink solutions can be captured from the one and two soliton(s). The obtained solutions are extended with numerical simulation to analyze graphically, which results into 1- and 2-soliton solutions and also periodic and cross-kink solutions profiles, that will be extensively used to report many attractive physical phenomena in the fields of acoustics, heat transfer, fluid dynamics, classical mechanics, and so on. |
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| Keywords: | generalized Bogoyavlensky-Konopelchenko equation Hirota bilinear operator method multi-waves and breather periodic and cross-kink solutions semi-inverse variational principle solitons |
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