Soliton-cnoidal interactional wave solutions for the reduced Maxwell-Bloch equations
In this paper, we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations. The truncated Painlev6 analysis is utilized to generate a consistent Riccati expansion, which leads to solving the reduced Maxwell-Bloch equations with solitary wave, cnoidal periodic wave, and soliton-cn...
Saved in:
| Published in | Chinese physics B Vol. 27; no. 2; pp. 220 - 227 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.02.2018
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Summary: | In this paper, we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations. The truncated Painlev6 analysis is utilized to generate a consistent Riccati expansion, which leads to solving the reduced Maxwell-Bloch equations with solitary wave, cnoidal periodic wave, and soliton-cnoidal interactional wave solutions in an explicit form. Particularly, the soliton-cnoidal interactional wave solution is obtained for the first time for the reduced Maxwell-Bloch equations. Finally, we present some figures to show properties of the explicit soliton-cnoidal interactional wave solutions as well as some new dynamical phenomena. |
|---|---|
| Bibliography: | In this paper, we study soliton-cnoidal wave solutions for the reduced Maxwell-Bloch equations. The truncated Painlev6 analysis is utilized to generate a consistent Riccati expansion, which leads to solving the reduced Maxwell-Bloch equations with solitary wave, cnoidal periodic wave, and soliton-cnoidal interactional wave solutions in an explicit form. Particularly, the soliton-cnoidal interactional wave solution is obtained for the first time for the reduced Maxwell-Bloch equations. Finally, we present some figures to show properties of the explicit soliton-cnoidal interactional wave solutions as well as some new dynamical phenomena. Li-Li Huang1,3, Zhi-Jun Qiao2, and Yong Chen1,3,4（ 1 Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China 2School of Mathematical and Statistical Sciences, The University of Texs Rio Grande Valley, Edinburg, TX 78539, USA 3 MOE International Joint Laboratory of Trustworthy Software, East China Normal University, Shanghai 200062, China 4Department of Physics, Zhejiang Normal University, Jinhua 321004, China） 11-5639/O4 reduced Maxwell-Bloch equations, consistent Riccati expansion, soliton-cnoidal interactionalwave solutions |
| ISSN: | 1674-1056 2058-3834 |
| DOI: | 10.1088/1674-1056/27/2/020201 |