Abundant interaction between lump and k-kink, periodic and other analytical solutions for the (3+1)-D Burger system by bilinear analysis
| Autor: | Rana Zulfugarova, Na Zhao, Jalil Manafian, Onur Alp Ilhan, Gurpreet Singh |
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| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Physics
Bilinear operator Frame (networking) Bilinear interpolation Statistical and Nonlinear Physics Condensed Matter Physics 01 natural sciences Nonlinear Sciences::Exactly Solvable and Integrable Systems 0103 physical sciences Soliton 010306 general physics 010301 acoustics Nonlinear Sciences::Pattern Formation and Solitons Mathematical physics |
| Popis: | In this paper, we study the (3+1)-dimensional Burger system which is considered in soliton theory and generated by considering the Hirota bilinear operators. The bilinear frame to the Burger system by using the multi-dimensional Bell polynomials is constructed. Also, based on the binary Bäcklund transformations, the generalized Bell polynomials are written. We retrieve some novel exact analytical solutions, containing interaction between lump and two kink wave solutions, interaction between lump and periodic wave solutions, interaction between stripe and periodic solutions, breather wave solutions, cross-kink wave solutions, interaction between kink and periodic wave solutions, multi-wave solutions, and finally solitary wave solutions for the (3+1)-dimensional Burger system by Maple symbolic computations. The required conditions of the analyticity and positivity of the solutions can be easily achieved by taking special choices of the involved parameters. The main ingredients for this scheme are to recover the Hirota trilinear forms and their generalized equivalences. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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