Higher-Order Rogue Wave Solutions to a Spatial Discrete Hirota Equation

doi:10.1088/0256-307X/35/9/090201

Chin. Phys. Lett.

2018, Vol. 35

Issue (9): 090201 DOI: 10.1088/0256-307X/35/9/090201

GENERAL

Higher-Order Rogue Wave Solutions to a Spatial Discrete Hirota Equation

Jun Yang, Zuo-Nong Zhu^**

School of Mathematial Sciences, Shanghai Jiao Tong University, Shanghai 200240

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Jun Yang, Zuo-Nong Zhu 2018 Chin. Phys. Lett. 35 090201

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Abstract The higher-order rogue wave (RW) for a spatial discrete Hirota equation is investigated by the generalized (1,$N-1$)-fold Darboux transformation. We obtain the higher-order discrete RW solution to the spatial discrete Hirota equation. The fundamental RWs exhibit different amplitudes and shapes associated with the spectral parameters. The higher-order RWs display triangular patterns and pentagons with different peaks. We show the differences between the RW of the spatially discrete Hirota equation and the discrete nonlinear Schrödinger equation. Using the contour line method, we study the localization characters including the length, width, and area of the first-order RWs of the spatially discrete Hirota equation.

Received: 29 March 2018 Published: 29 August 2018

PACS:	02.30.Ik	(Integrable systems)
	04.20.Jb	(Exact solutions)
	05.45.Yv	(Solitons)

Fund: Supported by the National Natural Science Foundation of China under Grant No 11671255, and the Ministry of Economy and Competitiveness of Spain under Grant No MTM2016-80276-P (AEI/FEDER,EU).

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https://cpl.iphy.ac.cn/10.1088/0256-307X/35/9/090201 OR https://cpl.iphy.ac.cn/Y2018/V35/I9/090201

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	Jun Yang
	Zuo-Nong Zhu

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