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Two integrable coupled nonlinear systems
Tam, HT; Hu, XB; Wang, DL
1999-02-01
Source PublicationJOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
ISSN0031-9015
Volume68Issue:2Pages:369-379
AbstractMotivated 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.
Keywordsolitons integrable systems Hirota's method Backlund transformation superposition principle
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000078967400012
PublisherPHYSICAL SOC JAPAN
Citation statistics
Cited Times:26[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14745
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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