Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials
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 be...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/4550582 |
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| author | Xuejun Zhou Onur Alp Ilhan Fangyuan Zhou Sutarto Sutarto Jalil Manafian Mostafa Abotaleb |
| author_facet | Xuejun Zhou Onur Alp Ilhan Fangyuan Zhou Sutarto Sutarto Jalil Manafian Mostafa Abotaleb |
| author_sort | Xuejun Zhou |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-2e654f88403b49f3a25819c6ac80fb55 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-2e654f88403b49f3a25819c6ac80fb552025-02-03T01:30:33ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/4550582Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell PolynomialsXuejun Zhou0Onur Alp Ilhan1Fangyuan Zhou2Sutarto Sutarto3Jalil Manafian4Mostafa Abotaleb5College of Physics and Electronic InformationDepartment of MathematicsCollege of Physics and Electronic InformationMathematics EducationDepartment of Applied MathematicsDepartment of System ProgrammingIn 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.http://dx.doi.org/10.1155/2021/4550582 |
| spellingShingle | Xuejun Zhou Onur Alp Ilhan Fangyuan Zhou Sutarto Sutarto Jalil Manafian Mostafa Abotaleb Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials Journal of Function Spaces |
| title | Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials |
| title_full | Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials |
| title_fullStr | Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials |
| title_full_unstemmed | Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials |
| title_short | Lump and Interaction Solutions to the (3+1)-Dimensional Variable-Coefficient Nonlinear Wave Equation with Multidimensional Binary Bell Polynomials |
| title_sort | lump and interaction solutions to the 3 1 dimensional variable coefficient nonlinear wave equation with multidimensional binary bell polynomials |
| url | http://dx.doi.org/10.1155/2021/4550582 |
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