Zhou, Xuejun and Ilhan, Onur Alp and Zhou, Fangyuan and Sutarto, Sutarto and Manafian, Jalil and Abotaleb, Mostafa (2021) Lump and Interaction Solutions to the (3 + 1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials. Hindawi Journal of Function Spaces, 2021.
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2.6 Lump and Interaction.pdf Download (4MB) |
Abstract
In this paper, we study the (3 + 1)-dimensional variable-coefficient nonlinear wave equation which is taken in soliton theory and generated by utilizing the Hirota bilinear technique. We obtain some new exact analytical solutions, containing interaction between a lump-two kink solitons, interaction between two lumps, and interaction between two lumps-soliton, lump-periodic, and lump-three kink solutions for the generalized (3 + 1)-dimensional nonlinear wave equation in liquid with gas bubbles by the Maple symbolic package. Making use of Hirota’s bilinear scheme, we obtain its general soliton solutions in terms of bilinear form equation to the considered model which can be obtained by multidimensional binary Bell polynomials. Furthermore, we analyze typical dynamics of the high-order soliton solutions to show the regularity of solutions and also illustrate their behavior graphically.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics T Technology > T Technology (General) |
| Depositing User: | lp3m-repo |
| Date Deposited: | 26 Oct 2022 07:36 |
| Last Modified: | 26 Oct 2022 07:36 |
| URI: | http://repository.undikma.ac.id/id/eprint/450 |
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