integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 计算数学与科学工程计算研究所

	integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation
	Zhang Yingnan 2; Chang Xiangke 2; Hu Juan 1; Hu Xingbiao2 ; Tam Hon Wah 3
刊名	sciencechinamathematics
	2015
卷号	58 期号:2 页码:279
ISSN号	1674-7283
英文摘要	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.
资助项目	[National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council]
语种	英语
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/47038]
专题	计算数学与科学工程计算研究所
作者单位	1.浙江工业大学 2.中国科学院数学与系统科学研究院 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.