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Higher-order rogue waves with new spatial distributions for the (2+1)-dimensional two-component long-wave-short-wave resonance interaction system
Yang, Jin-Wei1,2; Gao, Yi-Tian1,2; Sun, Yu-Hao1,2; Shen, Yu-Jia3; Su, Chuan-Qi1,2
2016-11-30
Source PublicationEUROPEAN PHYSICAL JOURNAL PLUS
ISSN2190-5444
Volume131Issue:11Pages:14
AbstractIn 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.
DOI10.1140/epjp/i2016-16416-8
Language英语
Funding ProjectNational Natural Science Foundation of China[11272023] ; Fundamental Research Funds for the Central Universities[50100002016105010]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000400480300001
PublisherSPRINGER HEIDELBERG
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/25990
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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