Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system

doi:10.1140/epjp/i2016-16416-8

	Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system
	Yang, Jin-Wei 1,2; Gao, Yi-Tian 1,2; Sun, Yu-Hao 1,2; Shen, Yu-Jia 3; Su, Chuan-Qi 1,2
刊名	EUROPEAN PHYSICAL JOURNAL PLUS
	2016-11-30
卷号	131 期号:11 页码:14
ISSN号	2190-5444
DOI	10.1140/epjp/i2016-16416-8
英文摘要	In this paper, a two-component (2 + 1)-dimensional long-wave-short-wave (LWSW) system with nonlinearity coefficients, which describes the nonlinear resonance interaction between two short waves and a long wave, is studied. Via the Hirota's bilinear method and Pfaffian, N-order rogue waves for the LWSW system are constructed. Furthermore, correction of the N-order rogue waves is proved directly via the Pfaffian, which is cumbersome or inaccessible in other methods. Results of the first-and second-order rogue waves are presented: 1) For the first-order rogue waves, the two short-wave components are bright, while the long-wave component is dark. The position of maximum amplitude of the rogue wave is analyzed. Evolution process for the first-order rogue wave is also presented and discussed. 2) Choosing different forms of the elements defined in the Pfaffian, we obtain some kinds of the second-order rogue waves with new spatial distributions: when the elements defined in Pfaffian are the same as the first-order rogue waves, we find that the second-order rogue waves for the two short-wave components are split into two first-order rogue waves and the two bumps coexist and interact with each other; when we change the combination of the elements in Pfaffian, we find that the second-order rogue waves for the two short-wave components are split into three and four first-order rogue waves. 3) N-order rogue waves for a general M-component LWSW system are constructed.
资助项目	National Natural Science Foundation of China[11272023] ; Fundamental Research Funds for the Central Universities[50100002016105010]
WOS研究方向	Physics
语种	英语
出版者	SPRINGER HEIDELBERG
WOS记录号	WOS:000400480300001
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/25989]
专题	中国科学院数学与系统科学研究院
通讯作者	Gao, Yi-Tian
作者单位	1.Beijing Univ Aeronaut & Astronaut, Minist Educ, Key Lab Fluid Mech, Beijing 100191, Peoples R China 2.Beijing Univ Aeronaut & Astronaut, Natl Lab Computat Fluid Dynam, Beijing 100191, Peoples R China 3.Chinese Acad Sci, AMSS, Key Lab Math Mechanizat, Inst Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Jin-Wei,Gao, Yi-Tian,Sun, Yu-Hao,et al. Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system[J]. EUROPEAN PHYSICAL JOURNAL PLUS,2016,131(11):14.
APA	Yang, Jin-Wei,Gao, Yi-Tian,Sun, Yu-Hao,Shen, Yu-Jia,&Su, Chuan-Qi.(2016).Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system.EUROPEAN PHYSICAL JOURNAL PLUS,131(11),14.
MLA	Yang, Jin-Wei,et al."Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system".EUROPEAN PHYSICAL JOURNAL PLUS 131.11(2016):14.