Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula

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	Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula
	Hu, XB ; Zhu, ZN
	1998-09-01
发表期刊	JOURNAL OF MATHEMATICAL PHYSICS
ISSN	0022-2488
卷号	39 期号:9 页码:4766-4772
摘要	The so-called Blaszak-Marciniak lattice is considered. By the dependent variable transformation, the Blaszak-Marciniak lattice is transformed into a quart-linear form. By introducing an auxiliary variable, we further transform it into the bilinear form. A corresponding Backlund transformation is obtained. Furthermore, a nonlinear superposition formula is proved rigorously. As an application of the obtained results, soliton solutions are derived. (C) 1998 American Institute of Physics.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000075617100029
出版者	AMER INST PHYSICS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/13593
专题	中国科学院数学与系统科学研究院
通讯作者	Hu, XB
作者单位	1.CCAST, World Lab, Beijing 100080, Peoples R China 2.Acad Sinica, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Hu, XB,Zhu, ZN. Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula[J]. JOURNAL OF MATHEMATICAL PHYSICS,1998,39(9):4766-4772.
APA	Hu, XB,&Zhu, ZN.(1998).Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula.JOURNAL OF MATHEMATICAL PHYSICS,39(9),4766-4772.
MLA	Hu, XB,et al."Some new results on the Blaszak-Marciniak lattice: Backlund transformation and nonlinear superposition formula".JOURNAL OF MATHEMATICAL PHYSICS 39.9(1998):4766-4772.