Solitons, Breathers, and Lump Solutions to the (2 + 1)-Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation
In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable paramete...
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| Published in | Complexity (New York, N.Y.) Vol. 2021; no. 1 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Hoboken
Hindawi
2021
John Wiley & Sons, Inc Wiley |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1076-2787 1099-0526 |
| DOI | 10.1155/2021/7264345 |
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| Abstract | In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable parameters on the 2-soliton solution, and lump solutions are constructed via the long wave limit method. Figures are given out to reveal the dynamic characteristics on the presented solutions. Results obtained in this work may be conducive to understanding the propagation of localized waves. |
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| AbstractList | In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of exact solutions, soliton solution, breather solutions, and lump solutions, are obtained. Breathers can be obtained by choosing suitable parameters on the 2-soliton solution, and lump solutions are constructed via the long wave limit method. Figures are given out to reveal the dynamic characteristics on the presented solutions. Results obtained in this work may be conducive to understanding the propagation of localized waves. |
| Author | Ma, Hongcai Cheng, Qiaoxin Deng, Aiping |
| Author_xml | – sequence: 1 givenname: Hongcai orcidid: 0000-0001-8759-5032 surname: Ma fullname: Ma, Hongcai organization: Department of Applied MathematicsDonghua UniversityShanghai 201620Chinadhu.edu.cn – sequence: 2 givenname: Qiaoxin surname: Cheng fullname: Cheng, Qiaoxin organization: Department of Applied MathematicsDonghua UniversityShanghai 201620Chinadhu.edu.cn – sequence: 3 givenname: Aiping surname: Deng fullname: Deng, Aiping organization: Department of Applied MathematicsDonghua UniversityShanghai 201620Chinadhu.edu.cn |
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| Copyright | Copyright © 2021 Hongcai Ma et al. Copyright © 2021 Hongcai Ma et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| Snippet | In this paper, a generalized (2 + 1)-dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of... In this paper, a generalized (2 + 1)‐dimensional Calogero–Bogoyavlenskii–Schiff equation is considered. Based on the Hirota bilinear method, three kinds of... |
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| SubjectTerms | Breathers Dynamic characteristics Exact solutions Interdisciplinary subjects Methods Propagation Science Software Solitary waves Wave propagation |
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| Title | Solitons, Breathers, and Lump Solutions to the (2 + 1)-Dimensional Generalized Calogero–Bogoyavlenskii–Schiff Equation |
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