Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river
Of current fluid-dynamics interest, Results Phys. 41, 105937 (2022) has presented an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river, with some solitons, breathers, lump waves and mixed breather-soliton solutions constructed under a certain condition. In...
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| Format: | Article |
| Language: | English |
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Elsevier
2022-12-01
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| Series: | Results in Physics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379722006672 |
| _version_ | 1811314707129171968 |
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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 | Of current fluid-dynamics interest, Results Phys. 41, 105937 (2022) has presented an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river, with some solitons, breathers, lump waves and mixed breather-soliton solutions constructed under a certain condition. In this Letter, we call the attention that such a newly-proposed equation deserves more efforts, since that equation is thought to be possibly useful in a variety of the physical situations with an environmental impact, such as the flood, tsunamis as well as other flows in rivers and oceans. With the singular manifold and symbolic computation, we carry out an auto-Bäcklund transformation with some solitons for that equation. Both the Bäcklund transformation and solitons rely on the time-dependent coefficients. |
| first_indexed | 2024-04-13T11:17:17Z |
| format | Article |
| id | doaj.art-0d819b77837b4fcba9fb018e3dd7adf5 |
| institution | Directory Open Access Journal |
| issn | 2211-3797 |
| language | English |
| last_indexed | 2024-04-13T11:17:17Z |
| publishDate | 2022-12-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj.art-0d819b77837b4fcba9fb018e3dd7adf52022-12-22T02:48:56ZengElsevierResults in Physics2211-37972022-12-0143106053Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a riverXin-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, ChinaOf current fluid-dynamics interest, Results Phys. 41, 105937 (2022) has presented an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river, with some solitons, breathers, lump waves and mixed breather-soliton solutions constructed under a certain condition. In this Letter, we call the attention that such a newly-proposed equation deserves more efforts, since that equation is thought to be possibly useful in a variety of the physical situations with an environmental impact, such as the flood, tsunamis as well as other flows in rivers and oceans. With the singular manifold and symbolic computation, we carry out an auto-Bäcklund transformation with some solitons for that equation. Both the Bäcklund transformation and solitons rely on the time-dependent coefficients.http://www.sciencedirect.com/science/article/pii/S2211379722006672Water waves in ocean or riverExtended time-dependent (3+1)-dimensional shallow water wave equationAuto-Bäcklund transformation with solitonsSingular manifold and symbolic computation |
| spellingShingle | Xin-Yi Gao Yong-Jiang Guo Wen-Rui Shan Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river Results in Physics Water waves in ocean or river Extended time-dependent (3+1)-dimensional shallow water wave equation Auto-Bäcklund transformation with solitons Singular manifold and symbolic computation |
| title | Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river |
| title_full | Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river |
| title_fullStr | Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river |
| title_full_unstemmed | Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river |
| title_short | Letter to the Editor on an extended time-dependent (3+1)-dimensional shallow water wave equation in an ocean or a river |
| title_sort | letter to the editor on an extended time dependent 3 1 dimensional shallow water wave equation in an ocean or a river |
| topic | Water waves in ocean or river Extended time-dependent (3+1)-dimensional shallow water wave equation Auto-Bäcklund transformation with solitons Singular manifold and symbolic computation |
| url | http://www.sciencedirect.com/science/article/pii/S2211379722006672 |
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