Two integrable coupled nonlinear systems

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	Two integrable coupled nonlinear systems
	Tam, HT ; Hu, XB ; Wang, DL
	1999-02-01
发表期刊	JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN	0031-9015
卷号	68 期号:2 页码:369-379
摘要	Motivated by Hirota and Satsuma's results on their coupled KdV equation, two integrable coupled nonlinear systems are considered. One of them is a coupled Ito system. It is shown that the coupled Ito system is a special case of the (6,2)-reduction of the two component BKP hierarchy while the other coupled system can be obtained from the (5,1)-reduction of the two component BKP hierarchy. By using MATHEMATICA, we obtain the 3- and 4-soliton solutions of the coupled Ito system. In addition, starting from bilinear equations of the other coupled system, a Backlund transformation is found and nonlinear superposition formulae are established. Soliton solutions and rational solutions are also derived from these results.
关键词	solitons integrable systems Hirota's method Backlund transformation superposition principle
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000078967400012
出版者	PHYSICAL SOC JAPAN
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14745
专题	中国科学院数学与系统科学研究院
通讯作者	Tam, HT
作者单位	1.Hong Kong Baptist Univ, Dept Comp Sci, Hong Kong, Peoples R China 2.Chinese Acad Sci, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Tam, HT,Hu, XB,Wang, DL. Two integrable coupled nonlinear systems[J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,1999,68(2):369-379.
APA	Tam, HT,Hu, XB,&Wang, DL.(1999).Two integrable coupled nonlinear systems.JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN,68(2),369-379.
MLA	Tam, HT,et al."Two integrable coupled nonlinear systems".JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN 68.2(1999):369-379.