The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation
A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elastic...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5569909 |
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| author | Changhao Zhang Guiying Chen |
| author_facet | Changhao Zhang Guiying Chen |
| author_sort | Changhao Zhang |
| collection | DOAJ |
| description | A general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elasticity of the collision between two solitons is proved by analyzing the asymptotic behavior of the two-soliton solution. Some figures are displayed to illustrate the process of elastic collision. |
| format | Article |
| id | doaj-art-379f1e389adc450a85eb0d8592a8c24a |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-379f1e389adc450a85eb0d8592a8c24a2025-02-03T06:43:48ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55699095569909The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV EquationChanghao Zhang0Guiying Chen1School of Applied Science, Beijing Information Science & Technology University, Beijing 100192, ChinaSchool of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, ChinaA general coupled KdV equation, which describes the interactions of two long waves with different dispersion relation, is considered. By employing the Hirota’s bilinear method, the bilinear form is obtained, and the one-soliton solution and two-soliton solution are constructed. Moreover, the elasticity of the collision between two solitons is proved by analyzing the asymptotic behavior of the two-soliton solution. Some figures are displayed to illustrate the process of elastic collision.http://dx.doi.org/10.1155/2021/5569909 |
| spellingShingle | Changhao Zhang Guiying Chen The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation Advances in Mathematical Physics |
| title | The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation |
| title_full | The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation |
| title_fullStr | The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation |
| title_full_unstemmed | The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation |
| title_short | The Soliton Solutions and Long-Time Asymptotic Analysis for a General Coupled KdV Equation |
| title_sort | soliton solutions and long time asymptotic analysis for a general coupled kdv equation |
| url | http://dx.doi.org/10.1155/2021/5569909 |
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