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

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

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.

Keywords: rogue-wave pair dark-bright-rogue wave coupled Hirota equations Darboux transformation

Received: 05 December 2013
Revised: 24 January 2014
Accepted manuscript online:

PACS:	02.30.Ik	(Integrable systems)
	03.75.Nt	(Other Bose-Einstein condensation phenomena)
	02.30.Hq	(Ordinary differential equations)

Fund: 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).

Corresponding Authors: Chen Yong
E-mail: ychen@sei.ecnu.edu.cn

About author: 02.30.IK; 03.75.Nt; 02.30.Hq

Cite this article:

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

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

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