Systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds

被引：15

作者：

Nikolic, Stanko N. ^{[1
,2
]}

Aleksic, Najdan B. ^{[1
,2
]}

Ashour, Omar A. ^{[1
,3
]}

Belic, Milivoj R. ^{[1
]}

Chin, Siu A. ^{[3
]}

机构：

[1] Texas A&M Univ Qatar, Sci Program, POB 23874, Doha, Qatar

[2] Univ Belgrade, Inst Phys Belgrade, Pregrevica 118, Belgrade 11080, Serbia

[3] Texas A&M Univ, Dept Phys & Astron, College Stn, TX 77843 USA

来源：

NONLINEAR DYNAMICS | 2017年 / 89卷 / 03期

关键词：

Hirota equation; Darboux transformation; Higher-order solitons; Breathers and rogue waves; NONLINEAR SCHRODINGER-EQUATION; ROGUE WAVES; MULTISOLITON SOLUTIONS; MODULATION;

D O I：

10.1007/s11071-017-3540-z

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

We investigate the systematic generation of higher-order solitons and breathers of the Hirota equation on different backgrounds. The Darboux transformation is used to construct proper initial conditions for dynamical generation of high-intensity solitons and breathers of different orders on a uniform background. We provide expressions for the Lax pair generating functions and the procedure for calculating higher-order solutions when Jacobi elliptic functions are the background seed solutions of the Hirota equation. We confirm that the peak height of each soliton or breather in the nonlinear Darboux superposition adds linearly, to form the intensity maximum of the final solution.

引用

页码：1637 / 1649

页数：13

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