Integrable discretization of soliton equations via bilinear method and B¨acklund transformation

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	Integrable discretization of soliton equations via bilinear method and B¨acklund transformation
Alternative Title	Integrable discretization of soliton equations via bilinear method and B¨acklund transformation
	Zhang YingNan 1; Chang XiangKe 1; Hu Juan 3; Hu XingBiao 1; Tam HonWah 4
	2015
Source Publication	中国科学:数学(英文版)
ISSN	1674-7283
Pages	279-296
Other Abstract	We present a systematic procedure to derive discrete analogues of integrable PDEs via Hirota’s bilinear method.This approach is mainly based on the compatibility between an integrable system and its B¨acklund transformation.We apply this procedure to several equations,including the extended Korteweg-deVries(Kd V)equation,the extended Kadomtsev-Petviashvili(KP)equation,the extended Boussinesq equation,the extended Sawada-Kotera(SK)equation and the extended Ito equation,and obtain their associated semidiscrete analogues.In the continuum limit,these differential-difference systems converge to their corresponding smooth equations.For these new integrable systems,their B¨acklund transformations and Lax pairs are derived.
Indexed By	CSCD
Language	中文
Funding Project	[National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council]
CSCD ID	CSCD:5386928
Citation statistics
Document Type	期刊论文
Identifier	http://ir.amss.ac.cn/handle/2S8OKBNM/57620
Collection	中国科学院数学与系统科学研究院
Affiliation	1.中国科学院数学与系统科学研究院 2.中国科学院大学 3.浙江大学 4.香港浸会大学
Recommended Citation GB/T 7714	Zhang YingNan,Chang XiangKe,Hu Juan,et al. Integrable discretization of soliton equations via bilinear method and B¨acklund transformation[J]. 中国科学:数学(英文版),2015:279-296.
APA	Zhang YingNan,Chang XiangKe,Hu Juan,Hu XingBiao,&Tam HonWah.(2015).Integrable discretization of soliton equations via bilinear method and B¨acklund transformation.中国科学:数学(英文版),279-296.
MLA	Zhang YingNan,et al."Integrable discretization of soliton equations via bilinear method and B¨acklund transformation".中国科学:数学(英文版) (2015):279-296.

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