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Zhang Yingnan1; Chang Xiangke1; Hu Juan2; Hu Xingbiao1; Tam Hon Wah3
Source Publicationsciencechinamathematics
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.
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
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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