Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization
Results Phys. 43, 106048 (2022) has amusingly retrieved some solitonic and other analytic solutions for a shallow water wave equation presented there. In this Letter, we suggest that such an equation be moreover studied in line with Results Phys. 43, 106048 (2022). Employing symbolic computation, fo...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-01-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722008208 |
| _version_ | 1797950771367510016 |
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| author | Xin-Yi Gao Yong-Jiang Guo Wen-Rui Shan |
| author_facet | Xin-Yi Gao Yong-Jiang Guo Wen-Rui Shan |
| author_sort | Xin-Yi Gao |
| collection | DOAJ |
| description | Results Phys. 43, 106048 (2022) has amusingly retrieved some solitonic and other analytic solutions for a shallow water wave equation presented there. In this Letter, we suggest that such an equation be moreover studied in line with Results Phys. 43, 106048 (2022). Employing symbolic computation, for a generalization of that equation, with respect to the displacement and velocity of the water, we construct a family of the similarity reductions, to a known ordinary differential equation. Our results depend on the gravitational force and wave height. |
| first_indexed | 2024-04-10T22:20:25Z |
| format | Article |
| id | doaj.art-f9919fcdf83c4299ad67c9f35a515013 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-10T22:20:25Z |
| publishDate | 2023-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-f9919fcdf83c4299ad67c9f35a5150132023-01-18T04:30:48ZengElsevierResults in Physics2211-37972023-01-0144106199Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalizationXin-Yi Gao0Yong-Jiang Guo1Wen-Rui Shan2State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaCorresponding authors.; State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaCorresponding authors.; State Key Laboratory of Information Photonics and Optical Communications, and School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, ChinaResults Phys. 43, 106048 (2022) has amusingly retrieved some solitonic and other analytic solutions for a shallow water wave equation presented there. In this Letter, we suggest that such an equation be moreover studied in line with Results Phys. 43, 106048 (2022). Employing symbolic computation, for a generalization of that equation, with respect to the displacement and velocity of the water, we construct a family of the similarity reductions, to a known ordinary differential equation. Our results depend on the gravitational force and wave height.http://www.sciencedirect.com/science/article/pii/S2211379722008208Generalized shallow water wave equationSimilarity reductionsSymbolic computation |
| spellingShingle | Xin-Yi Gao Yong-Jiang Guo Wen-Rui Shan Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization Results in Physics Generalized shallow water wave equation Similarity reductions Symbolic computation |
| title | Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization |
| title_full | Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization |
| title_fullStr | Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization |
| title_full_unstemmed | Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization |
| title_short | Letter to the Editor on a shallow water wave equation in Results Phys. 43, 106048 (2022) and its generalization |
| title_sort | letter to the editor on a shallow water wave equation in results phys 43 106048 2022 and its generalization |
| topic | Generalized shallow water wave equation Similarity reductions Symbolic computation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722008208 |
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