The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System
The integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series. The intricate structures of the rational solitary wave solution are discussed mathematically and graphically. Th...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/861069 |
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| author | Chuanjian Wang Zhengde Dai Changfu Liu |
| author_facet | Chuanjian Wang Zhengde Dai Changfu Liu |
| author_sort | Chuanjian Wang |
| collection | DOAJ |
| description | The integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series. The intricate structures of the rational solitary wave solution are discussed mathematically and graphically. The existence conditions of three different solitary wave solution structure for the short-wave field are given by the theory of extreme value analysis. By controlling the wave number of the background plane wave we may control the the behavior of rational solitary wave. However, the shape of the rational solitary wave solution for the real long-wave field is not affected as the wave number is varied. |
| format | Article |
| id | doaj-art-51edb95c166947988061b86fc220e4eb |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-51edb95c166947988061b86fc220e4eb2025-02-03T01:31:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/861069861069The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based SystemChuanjian Wang0Zhengde Dai1Changfu Liu2School of Science, Kunming University of Science and Technology, Kunming 650500, ChinaSchool of Mathematics and Statistics, Yunnan University, Kunming 650091, ChinaSchool of Mathematics, Wenshan University, Wenshan 663000, ChinaThe integrable Kadomtsev-Petviashvili-based system is studied. The breather-like (a pulsating mode) and rational solutions are presented applying Hirota bilinear method and Taylor series. The intricate structures of the rational solitary wave solution are discussed mathematically and graphically. The existence conditions of three different solitary wave solution structure for the short-wave field are given by the theory of extreme value analysis. By controlling the wave number of the background plane wave we may control the the behavior of rational solitary wave. However, the shape of the rational solitary wave solution for the real long-wave field is not affected as the wave number is varied.http://dx.doi.org/10.1155/2015/861069 |
| spellingShingle | Chuanjian Wang Zhengde Dai Changfu Liu The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System Advances in Mathematical Physics |
| title | The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System |
| title_full | The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System |
| title_fullStr | The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System |
| title_full_unstemmed | The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System |
| title_short | The Breather-Like and Rational Solutions for the Integrable Kadomtsev-Petviashvili-Based System |
| title_sort | breather like and rational solutions for the integrable kadomtsev petviashvili based system |
| url | http://dx.doi.org/10.1155/2015/861069 |
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