Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

doi:10.1088/1674-1056/23/7/070203

中国物理B ›› 2014, Vol. 23 ›› Issue (7): 70203-070203.doi: 10.1088/1674-1056/23/7/070203

Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

王鑫, 陈勇

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

收稿日期:2013-12-05 修回日期:2014-01-24 出版日期:2014-07-15 发布日期:2014-07-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11275072), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120076110024), the Innovative Research Team Program of the National Natural Science Foundation of China (Grant No. 61321064), the Talent Fund and K.C. Wong Magna Fund in Ningbo University, China, and the Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ13A010014).

Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

Wang Xin (王鑫), Chen Yong (陈勇)

Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai 200062, China

Received:2013-12-05 Revised:2014-01-24 Online:2014-07-15 Published:2014-07-15
Contact: Chen Yong E-mail:ychen@sei.ecnu.edu.cn
About author:02.30.IK; 03.75.Nt; 02.30.Hq
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11275072), the Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120076110024), the Innovative Research Team Program of the National Natural Science Foundation of China (Grant No. 61321064), the Talent Fund and K.C. Wong Magna Fund in Ningbo University, China, and the Zhejiang Provincial Natural Science Foundation of China (Grant No. LQ13A010014).

摘要/Abstract

摘要： Novel explicit rogue wave solutions of the coupled Hirota equations are obtained by using the Darboux transformation. In contrast to the fundamental Peregrine solitons and dark rogue waves, we present an interesting rogue-wave pair that involves four zero-amplitude holes for the coupled Hirota equations. It is significant that the corresponding expressions of the rogue-wave pair solutions contain polynomials of the fourth order rather than the second order. Moreover, dark-bright-rogue wave solutions of the coupled Hirota equations are given, and interactions between Peregrine solitons and dark-bright solitons are analyzed. The results further reveal the dynamical properties of rogue waves for the coupled Hirota equations.

关键词: rogue-wave pair, dark-bright-rogue wave, coupled Hirota equations, Darboux transformation

Abstract: Novel explicit rogue wave solutions of the coupled Hirota equations are obtained by using the Darboux transformation. In contrast to the fundamental Peregrine solitons and dark rogue waves, we present an interesting rogue-wave pair that involves four zero-amplitude holes for the coupled Hirota equations. It is significant that the corresponding expressions of the rogue-wave pair solutions contain polynomials of the fourth order rather than the second order. Moreover, dark-bright-rogue wave solutions of the coupled Hirota equations are given, and interactions between Peregrine solitons and dark-bright solitons are analyzed. The results further reveal the dynamical properties of rogue waves for the coupled Hirota equations.

Key words: rogue-wave pair, dark-bright-rogue wave, coupled Hirota equations, Darboux transformation

中图分类号: (Integrable systems)

02.30.Ik

03.75.Nt (Other Bose-Einstein condensation phenomena) 02.30.Hq (Ordinary differential equations)

王鑫, 陈勇. Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations[J]. 中国物理B, 2014, 23(7): 70203-070203.

Wang Xin (王鑫), Chen Yong (陈勇). Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations[J]. Chin. Phys. B, 2014, 23(7): 70203-070203.

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Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

Rogue-wave pair and dark-bright-rogue wave solutions of the coupled Hirota equations

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