Rogue waves in the multicomponent Mel'nikov system and multicomponent Schrodinger-Boussinesq system

doi:10.1007/s12043-017-1512-y

	Rogue waves in the multicomponent Mel'nikov system and multicomponent Schrodinger-Boussinesq system
	Sun, Baonan 1,2,3; Lian, Zhan 2,3
刊名	PRAMANA-JOURNAL OF PHYSICS
	2018-02
卷号	90 期号:2
关键词	Multicomponent Mel'nikov system multicomponent Schrodinger-Boussinesq system rogue waves bilinear transformation method
ISSN号	0304-4289
DOI	10.1007/s12043-017-1512-y
英文摘要	By virtue of the bilinear method and the KP hierarchy reduction technique, exact explicit rational solutions of the multicomponent Mel'nikov equation and the multicomponent Schrodinger-Boussinesq equation are constructed, which contain multicomponent short waves and single-component long wave. For the multicomponent Mel'nikov equation, the fundamental rational solutions possess two different behaviours: lump and rogue wave. It is shown that the fundamental (simplest) rogue waves are line localised waves which arise from the constant background with a line profile and then disappear into the constant background again. The fundamental line rogue waves can be classified into three: bright, intermediate and dark line rogue waves. Two subclasses of non-fundamental rogue waves, i.e., multirogue waves and higher-order rogue waves are discussed. The multirogue waves describe interaction of several fundamental line rogue waves, in which interesting wave patterns appear in the intermediate time. Higher-order rogue waves exhibit dynamic behaviours that the wave structures start from lump and then retreat back to it. Moreover, by taking the parameter constraints further, general higher-order rogue wave solutions for the multicomponent Schrodinger-Boussinesq system are generated.
资助项目	National Key Research and Development Programme of China[2016YFC1402000] ; National Key Research and Development Programme of China[2016YFC1402304]
WOS关键词	MODULATION INSTABILITY ; RATIONAL SOLUTIONS ; SOLITON-SOLUTIONS ; I EQUATION ; DYNAMICS ; LANGMUIR
WOS研究方向	Physics
语种	英语
出版者	INDIAN ACAD SCIENCES
WOS记录号	WOS:000423990800008
内容类型	期刊论文
源URL	[http://ir.fio.com.cn:8080/handle/2SI8HI0U/26162]
专题	自然资源部第一海洋研究所
通讯作者	Sun, Baonan
作者单位	1.Ocean Univ China, Coll Ocean & Atmospher Sci, Qingdao 266100, Peoples R China 2.Qingdao Natl Lab Marine Sci & Technol, Lab Reg Oceanog & Numer Modeling, Qingdao 266000, Peoples R China 3.State Ocean Adm, Inst Oceanog 1, Key Lab Marine Sci & Numer Modeling, Qingdao 266061, Peoples R China
推荐引用方式 GB/T 7714	Sun, Baonan,Lian, Zhan. Rogue waves in the multicomponent Mel'nikov system and multicomponent Schrodinger-Boussinesq system[J]. PRAMANA-JOURNAL OF PHYSICS,2018,90(2).
APA	Sun, Baonan,&Lian, Zhan.(2018).Rogue waves in the multicomponent Mel'nikov system and multicomponent Schrodinger-Boussinesq system.PRAMANA-JOURNAL OF PHYSICS,90(2).
MLA	Sun, Baonan,et al."Rogue waves in the multicomponent Mel'nikov system and multicomponent Schrodinger-Boussinesq system".PRAMANA-JOURNAL OF PHYSICS 90.2(2018).