Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients
Under investigation in this paper is a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation. The exact lump solutions of this equation are presented by virtue of its bilinear form and symbolic computation. Compared with the solutions of the previous cases, these solutions...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/6287461 |
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| author | Wei-Qin Chen Qing-Feng Guan Chao-Fan Jiang Fei-Fan Zhang Lei Wang |
| author_facet | Wei-Qin Chen Qing-Feng Guan Chao-Fan Jiang Fei-Fan Zhang Lei Wang |
| author_sort | Wei-Qin Chen |
| collection | DOAJ |
| description | Under investigation in this paper is a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation. The exact lump solutions of this equation are presented by virtue of its bilinear form and symbolic computation. Compared with the solutions of the previous cases, these solutions contain two inhomogeneous coefficients, which can show some interesting nonautonomous characteristics. Three types of dispersion coefficients are considered, including the periodic, exponential, and linear modulations. The corresponding nonautonomous lump waves have different characteristics of trajectories and velocities. The periodic fission and fusion interaction between a lump wave and a kink soliton is discussed graphically. |
| format | Article |
| id | doaj-art-b688efa5e1d540ba9263d12013c13c66 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-b688efa5e1d540ba9263d12013c13c662025-02-03T06:01:47ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/62874616287461Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable CoefficientsWei-Qin Chen0Qing-Feng Guan1Chao-Fan Jiang2Fei-Fan Zhang3Lei Wang4School of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaSchool of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaSchool of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaSchool of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaSchool of Mathematics and Physics, North China Electric Power University, Beijing 102206, ChinaUnder investigation in this paper is a (3 + 1)-dimensional variable-coefficient generalized shallow water wave equation. The exact lump solutions of this equation are presented by virtue of its bilinear form and symbolic computation. Compared with the solutions of the previous cases, these solutions contain two inhomogeneous coefficients, which can show some interesting nonautonomous characteristics. Three types of dispersion coefficients are considered, including the periodic, exponential, and linear modulations. The corresponding nonautonomous lump waves have different characteristics of trajectories and velocities. The periodic fission and fusion interaction between a lump wave and a kink soliton is discussed graphically.http://dx.doi.org/10.1155/2019/6287461 |
| spellingShingle | Wei-Qin Chen Qing-Feng Guan Chao-Fan Jiang Fei-Fan Zhang Lei Wang Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients Complexity |
| title | Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients |
| title_full | Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients |
| title_fullStr | Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients |
| title_full_unstemmed | Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients |
| title_short | Nonautonomous Motion Study on Accelerated and Decelerated Lump Waves for a (3 + 1)-Dimensional Generalized Shallow Water Wave Equation with Variable Coefficients |
| title_sort | nonautonomous motion study on accelerated and decelerated lump waves for a 3 1 dimensional generalized shallow water wave equation with variable coefficients |
| url | http://dx.doi.org/10.1155/2019/6287461 |
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