- 必威体育下载

姓名
邮箱
手机号码
标题
留言内容
验证码

Abstract

A two-dimensional self-similarity transformation theory is established, and the focusing (parabolic) (2 + 1)-dimensional NLS equation is taken as the model. The two-dimensional self-similarity transformation is proposed for converting the focusing (2 + 1)-dimensional NLS equation into the focusing (1 + 1) dimensional NLS equations, and the excitation of its novel line-rogue waves is further investigated. It is found that the spatial coherent structures induced by the Akhmediev breathers (AB) and Kuznetsov-Ma solitons (KMS) also have the short-lived characteristics which are possessed by the line-rogue waves induced by the Peregrine solitons, and the other higher-order rogue waves and the multi-rogue waves of the (1 + 1) dimensional NLS equations. This is completely different from the evolution characteristics of spatially coherent structures induced by bright solitons (including multi-solitons and lump solutions), with their shapes and amplitudes kept unchanged. The diagram shows the evolution characteristics of all kinds of resulting line rogue waves. The new excitation mechanism of line rogue waves revealed contributes to the new understanding of the coherent structure of high-dimensional nonlinear wave models.

Keywords:

rogue wave/
line rogue wave/
two-dimensional self-similar transformation/
nonlinear Schrödinger equation

Authors and contacts

Corresponding author:Zhang Jie-Fang,Zhangjief@cuz.edu.cn

Funds:Project supported by the National Natural Science Foundation of China (Grant No. 61877053)

FullText HTML: translate this paragraph

References

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]
[50]
[51]
[52]
[53]
[54]
[55]
[56]
[57]
[58]
[59]
[60]
[61]
[62]
[63]
[64]
[65]

Cited By

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

DownLoad: Full-Size Img PowerPoint

[1]
[2]
[3]
[4]
[5]
[6]
[7]
[8]
[9]
[10]
[11]
[12]
[13]
[14]
[15]
[16]
[17]
[18]
[19]
[20]
[21]
[22]
[23]
[24]
[25]
[26]
[27]
[28]
[29]
[30]
[31]
[32]
[33]
[34]
[35]
[36]
[37]
[38]
[39]
[40]
[41]
[42]
[43]
[44]
[45]
[46]
[47]
[48]
[49]
[50]
[51]
[52]
[53]
[54]
[55]
[56]
[57]
[58]
[59]
[60]
[61]
[62]
[63]
[64]
[65]

[1]	Rao Ji-Guang, Chen Sheng-An, Wu Zhao-Jun, He Jin-Song.General higher-order rogue waves in the space-shifted $\mathcal{PT}$ -symmetric nonlocal nonlinear Schrödinger equation. Acta Physica Sinica, 2023, 72(10): 104204.doi:10.7498/aps.72.20222298
[2]	Zhang Jie-Fang, Yu Ding-Guo, Jin Mei-Zhen.Self-similar transformation and excitation of rogue waves for (2+1)-dimensional Zakharov equation. Acta Physica Sinica, 2022, 71(8): 084204.doi:10.7498/aps.71.20211181
[3]	Wang Yan, Li Lu.Amplification of optical pulse train based on Peregrine rogue wave. Acta Physica Sinica, 2021, 70(22): 224213.doi:10.7498/aps.70.20210959
[4]	Zhang Jie-Fang, Jin Mei-Zhen, Hu Wen-Cheng.Self-similarity transformation and two-dimensional rogue wave construction of non-autonomous Kadomtsev-Petviashvili equation. Acta Physica Sinica, 2020, 69(24): 244205.doi:10.7498/aps.69.20200981
[5]	Chen Zhi-Min, Duan Wen-Shan.Rouge waves in fluid-filled elastic tube. Acta Physica Sinica, 2020, 69(1): 014701.doi:10.7498/aps.69.20191308
[6]	Wen Xiao-Yong, Wang Hao-Tian.Dynamics of localized wave solutions for a higher-order Ablowitz-Ladik equation. Acta Physica Sinica, 2020, 69(1): 010205.doi:10.7498/aps.69.20191235
[7]	Li Min, Wang Bo-Ting, Xu Tao, Shui Juan-Juan.Study on the generation mechanism of bright and dark solitary waves and rogue wave for a fourth-order dispersive nonlinear Schrödinger equation. Acta Physica Sinica, 2020, 69(1): 010502.doi:10.7498/aps.69.20191384
[8]	Jiang Tao, Huang Jin-Jing, Lu Lin-Guang, Ren Jin-Lian.Numerical study of nonlinear Schrödinger equation with high-order split-step corrected smoothed particle hydrodynamics method. Acta Physica Sinica, 2019, 68(9): 090203.doi:10.7498/aps.68.20190169
[9]	Cui Shao-Yan, Lü Xin-Xin, Xin Jie.Collapse and evolution of wave field based on a generalized nonlinear Schrdinger equation. Acta Physica Sinica, 2016, 65(4): 040201.doi:10.7498/aps.65.040201
[10]	Li Shu-Qing, Yang Guang-Ye, Li Lu.Rogue solution of Hirota equation and its transmision. Acta Physica Sinica, 2014, 63(10): 104215.doi:10.7498/aps.63.104215
[11]	Hu Wen-Cheng, Zhang Jie-Fang, Zhao Bi, Lou Ji-Hui.Transmission control of nonautonomous optical rogue waves in nonlinear optical media. Acta Physica Sinica, 2013, 62(2): 024216.doi:10.7498/aps.62.024216
[12]	Wang Jing, Ma Rui-Ling, Wang Long, Meng Jun-Min.Numerical simulation of the spread of internal waves see from deep sea to shallow sea from the mixed model. Acta Physica Sinica, 2012, 61(6): 064701.doi:10.7498/aps.61.064701
[13]	Song Shi-Yan, Wang Jing, Meng Jun-Min, Wang Jian-Bu, Hu Pei-Xin.Nonlinear Schr?dinger equation for internal waves in deep sea. Acta Physica Sinica, 2010, 59(2): 1123-1129.doi:10.7498/aps.59.1123
[14]	Song Sha-Sha, Meng Jun-Min, Song Shi-Yan, Wang Jing, Wang Jian-Bu.Numerical simulation of internal waves propagation in deep sea by nonlinear Schr?dinger equation. Acta Physica Sinica, 2010, 59(9): 6339-6344.doi:10.7498/aps.59.6339
[15]	Yu Chao-Fan, Liang Guo-Dong, Cao Xi-Jin.Polaron-soliton squeezed states , ground state and quantum fluctuation in one-dimensional molecular crystals. Acta Physica Sinica, 2008, 57(7): 4402-4411.doi:10.7498/aps.57.4402
[16]	Lei Ting, Tu Cheng-Hou, Li En-Bang, Li Yong-Nan, Guo Wen-Gang, Wei Dai, Zhu Hui, Lü Fu-Yun.The theoretical study and numerical simulation of self-similar transmission of high energy wave-breaking　free ultra-short pulse. Acta Physica Sinica, 2007, 56(5): 2769-2775.doi:10.7498/aps.56.2769
[17]	Gong Lun-Xun.Some new exact solutions of the Jacobi elliptic functions of NLS equation. Acta Physica Sinica, 2006, 55(9): 4414-4419.doi:10.7498/aps.55.4414
[18]	Ruan Hang-Yu, Li Hui-Jun.Solution of the nonlinear Schr?dinger equation using the generalized Lie group reduction method. Acta Physica Sinica, 2005, 54(3): 996-1001.doi:10.7498/aps.54.996
[19]	Chen Hong-Ping, Wang Jian, He Guo-Guang.Split-step wavelet method for numerical simulation of optical pulse propagation. Acta Physica Sinica, 2005, 54(6): 2779-2783.doi:10.7498/aps.54.2779
[20]	RUAN HANG-YU, CHEN YI-XIN.RING SOLITONS, DROMIONS, BREATHERS AND INSTANTONS OF THE NLS EQUATION. Acta Physica Sinica, 2001, 50(4): 586-592.doi:10.7498/aps.50.586

Catalog

Vol. 71, Issue 1 - 2022-01-05

Metrics

Abstract views:3743
PDF Downloads:72
Cited By:0

Search

Article