共振怪波的预测

doi:10.3969/j.issn.0253-2778.2020.02.006

中国科学技术大学学报 ›› 2020, Vol. 50 ›› Issue (2): 120-127.DOI: 10.3969/j.issn.0253-2778.2020.02.006

共振怪波的预测

孟勇

宁波大学物理科学与技术学院,浙江宁波 315211

收稿日期:2018-07-07 修回日期:2018-08-02 接受日期:2018-08-02 出版日期:2020-02-28 发布日期:2018-08-02
作者简介:孟勇,男,1992年生,硕士.研究方向:非线性物理. E-mail: wanguozhifu@yeah.net
基金资助:
国家自然科学基金（11435005）资助.

Resonance rogue wave prediction

MENG Yong

School of Physical Science and Technology, Ningbo University, Ningbo 315211, China

Received:2018-07-07 Revised:2018-08-02 Accepted:2018-08-02 Online:2020-02-28 Published:2018-08-02

摘要/Abstract

摘要： 怪波是一种分布非常陡峭、存在时间极短、波峰峰值远高于周围的波浪的局域波.以(2+1)维SK方程为例,运用Hirota双线性方法探究一种新型的怪波（共振怪波）,该怪波的形成与lump型孤子密切相关.当lump型孤子在双条纹孤子的影响下，只在一瞬间出现，然后立即消失,于是lump型孤子就变成了怪波.并且通过理论计算和数形结合的方法求得怪波的运动轨迹、存在时间、面积、体积等特征量.

关键词: 共振怪波, (2+1)维SK方程, 运动轨迹, 存在时间

Abstract: Rogue wave is a kind of local wave with very steep distribution, very short existence time, and whose peak value is much higher than the surrounding waves. Therefore, taking the (2+1)-dimensional SK equation as an example, the Hirota bilinear method was used to explore a new type of rogue wave(resonance rogue wave), whose formation is closely related to the lump-type soliton. When the lump-type soliton is under the influence of a double-striped soliton, it will appear only momentarily and then disappear immediately, so it becomes a rogue wave. And the characteristic quantities such as the movement track, the existence time, the area and the volume of the strange wave were obtained by the method of theoretical calculation and the combination of number and shape.

Key words: resonance rogue wave, (2+1)-dimensional SK equation, track of motion, existence time

中图分类号:

O175.29

孟勇. 共振怪波的预测[J]. 中国科学技术大学学报, 2020, 50(2): 120-127.

MENG Yong. Resonance rogue wave prediction[J]. Journal of University of Science and Technology of China, 2020, 50(2): 120-127.

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共振怪波的预测

Resonance rogue wave prediction

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