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integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation
Zhang Yingnan1; Chang Xiangke1; Hu Juan2; Hu Xingbiao1; Tam Hon Wah3
2015-01-01
Source Publicationsciencechinamathematics
ISSN1674-7283
Volume58Issue:2Pages:279
AbstractWe 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.
Language英语
Funding Project[National Natural Science Foundation of China] ; [Hong Kong Baptist University Faculty Research] ; [Hong Kong Research Grant Council]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/47039
Collection计算数学与科学工程计算研究所
Affiliation1.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
Recommended Citation
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.
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