Characteristics of rogue waves on a soliton background in the general three-component nonlinear Schroedinger equation

Xiu-Bin Wang; Bo Han

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Characteristics of rogue waves on a soliton background in the general three-component nonlinear Schroedinger equation

机译：一般三组分非线性施罗德格方程中孤子背景的流氓波浪的特征

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Under investigation in this work is the general three-component nonlinear Schrodinger equation, which is an important integrable system. The new localized wave solutions of the equation are derived using a Darboux-dressing transformation with an asymptotic expansion. These localized waves display rogue waves on a multisoliton background. Furthermore, the main characteristics of the new localized wave solutions are analyzed with some graphics. Our results indicate that more abundant and novel localized waves may exist in the multi-component coupled equations than in the uncoupled ones.

机译：在这项工作的调查中是一般的三组分非线性Schrodinger方程，这是一个重要的可积系统。使用渐近扩张的Darboux敷料转化导出了等式的新局部波解。这些局部波浪在多边形背景上显示流氓波浪。此外，通过一些图形分析了新的局部波解决方案的主要特征。我们的结果表明，多组分耦合方程中的更丰富和新颖的局部波可能比在未耦合的方程中存在更多。

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来源
《Applied Mathematical Modelling》 |2020年第12期|688-700|共13页
作者
Xiu-Bin Wang; Bo Han;
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作者单位

Department of Mathematics Harbin Institute of Technology Harbin 150001 PR China;

Department of Mathematics Harbin Institute of Technology Harbin 150001 PR China;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
The general three-component nonlinear; Schrodinger (gtc-NLS) equation; Rogue waves; Breather waves;

机译：一般的三分组分非线性;Schrodinger（GTC-NLS）方程;流氓波浪;呼吸波;

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1. Three-component nonlinear Schroedinger equations: Modulational instability, Nth-order vector rational and semi-rational rogue waves, and dynamics [J] . Zhang Guoqiang, Yan Zhenya Communications in Nonlinear Science and Numerical Simulation . 2018,第SEPa期

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2. Characteristics of rogue waves on a soliton background in a coupled nonlinear Schrodinger equation [J] . Wang Xiu-Bin, Han Bo Mathematical Methods in the Applied Sciences . 2019,第8期

机译：耦合非线性薛定林方程中孤子背景的流氓波的特点
3. Characteristics of Rogue Waves on a Soliton Background in the General Coupled Nonlinear Schrodinger Equation [J] . Wang Xiu-Bin, Han Bo Communications in Theoretical Physics . 2019,第2期

机译：一般耦合非线性施罗德格方程中孤子背景的流氓波的特征
4. Solitons on a background, rogue waves, and classical soliton solutions of extended Nonlinear Schr#x00F6;dinger Equations [C] . Bandelow Uwe, Akhmediev Nail 2013 Sixth "Rio De La Plata" Workshop on Laser Dynamics and Nonlinear Photonics . 2013

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6. Modulational instability beak-shaped rogue waves multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations [O] . Guoqiang Zhang, Zhenya Yan, Xiao-Yong Wen -1

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7. Rogue waves, rational solitons, and modulational instability in an integrable fifth-order nonlinear Schroedinger equation [O] . Yang, Yunqing, Yan, Zhenya, Malomed, Boris A. 2015

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Characteristics of rogue waves on a soliton background in the general three-component nonlinear Schroedinger equation

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