integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation

	integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation
	Zhang Yingnan 1; Chang Xiangke 1; Hu Juan 2; Hu Xingbiao1 ; Tam Hon Wah 3
	2015
发表期刊	sciencechinamathematics
ISSN	1674-7283
卷号	58 期号:2 页码:279
摘要	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 Backlund transformation. We apply this procedure to several equations, including the extended Korteweg-de-Vries (KdV) 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 semi-discrete analogues. In the continuum limit, these differential-difference systems converge to their corresponding smooth equations. For these new integrable systems, their Backlund transformations and Lax pairs are derived.
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council]
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/47039
专题	计算数学与科学工程计算研究所
作者单位	1.中国科学院数学与系统科学研究院 2.浙江工业大学 3.香港浸会大学
推荐引用方式 GB/T 7714	Zhang Yingnan,Chang Xiangke,Hu Juan,et al. integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation[J]. sciencechinamathematics,2015,58(2):279.
APA	Zhang Yingnan,Chang Xiangke,Hu Juan,Hu Xingbiao,&Tam Hon Wah.(2015).integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation.sciencechinamathematics,58(2),279.
MLA	Zhang Yingnan,et al."integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation".sciencechinamathematics 58.2(2015):279.