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 integrablediscretizationofsolitonequationsviabilinearmethodandbacklundtransformation Zhang Yingnan1; Chang Xiangke1; Hu Juan2; Hu Xingbiao1; Tam Hon Wah3 2015 Source Publication sciencechinamathematics ISSN 1674-7283 Volume 58Issue:2Pages:279 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 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 Identifier http://ir.amss.ac.cn/handle/2S8OKBNM/47039 Collection 计算数学与科学工程计算研究所 Affiliation 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 Recommended CitationGB/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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