Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves
In this paper, the fractional Broer–Kaup (BK) system is investigated by studying its novel computational wave solutions. These solutions are constructed by applying two recent analytical schemes (modified Khater method and sech–tanh function expansion method). The BK system simulates the bidirection...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2020/5362989 |
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| author | Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia |
| author_facet | Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia |
| author_sort | Haiyong Qin |
| collection | DOAJ |
| description | In this paper, the fractional Broer–Kaup (BK) system is investigated by studying its novel computational wave solutions. These solutions are constructed by applying two recent analytical schemes (modified Khater method and sech–tanh function expansion method). The BK system simulates the bidirectional propagation of long waves in shallow water. Moreover, it is used to study the interaction between nonlinear and dispersive long gravity waves. A new fractional operator is used to convert the fractional form of the BK system to a nonlinear ordinary differential system with an integer order. Many novel traveling wave solutions are constructed that do not exist earlier. These solutions are considered the icon key in the inelastic interaction of slow ions and atoms, where they were able to explain the physical nature of the nuclear and electronic stopping processes. For more illustration, some attractive sketches are also depicted for the interpretation physically of the achieved solutions. |
| format | Article |
| id | doaj-art-d2c1513279d2485f9eae055b3f836ffe |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d2c1513279d2485f9eae055b3f836ffe2025-02-03T00:58:41ZengWileyJournal of Function Spaces2314-88962314-88882020-01-01202010.1155/2020/53629895362989Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity WavesHaiyong Qin0Mostafa M. A. Khater1Raghda A. M. Attia2School of Mathematics, Qilu Normal University, Jinan, 250200 Shandong Province, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, ChinaDepartment of Mathematics, Faculty of Science, Jiangsu University, ChinaIn this paper, the fractional Broer–Kaup (BK) system is investigated by studying its novel computational wave solutions. These solutions are constructed by applying two recent analytical schemes (modified Khater method and sech–tanh function expansion method). The BK system simulates the bidirectional propagation of long waves in shallow water. Moreover, it is used to study the interaction between nonlinear and dispersive long gravity waves. A new fractional operator is used to convert the fractional form of the BK system to a nonlinear ordinary differential system with an integer order. Many novel traveling wave solutions are constructed that do not exist earlier. These solutions are considered the icon key in the inelastic interaction of slow ions and atoms, where they were able to explain the physical nature of the nuclear and electronic stopping processes. For more illustration, some attractive sketches are also depicted for the interpretation physically of the achieved solutions.http://dx.doi.org/10.1155/2020/5362989 |
| spellingShingle | Haiyong Qin Mostafa M. A. Khater Raghda A. M. Attia Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves Journal of Function Spaces |
| title | Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves |
| title_full | Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves |
| title_fullStr | Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves |
| title_full_unstemmed | Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves |
| title_short | Inelastic Interaction and Blowup New Solutions of Nonlinear and Dispersive Long Gravity Waves |
| title_sort | inelastic interaction and blowup new solutions of nonlinear and dispersive long gravity waves |
| url | http://dx.doi.org/10.1155/2020/5362989 |
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