Abstract:
Two new lattices are given. One is an extended system of the Blaszak–Marciniak lattice, and the other is the extended system of the lattice given by Wu and Hu. Lax pairs for these two lattices are derived from their corresponding bilinear Bäcklund transformation.
Citation:
X. B. Hu, D. L. Wang, H. Tam, “Integrable Extended Blaszak–Marciniak Lattice and Another Extended Lattice with Their Lax Pairs”, TMF, 127:3 (2001), 388–393; Theoret. and Math. Phys., 127:3 (2001), 738–743
\Bibitem{HuWanTam01}
\by X.~B.~Hu, D.~L.~Wang, H.~Tam
\paper Integrable Extended Blaszak--Marciniak Lattice and Another Extended Lattice with Their Lax Pairs
\jour TMF
\yr 2001
\vol 127
\issue 3
\pages 388--393
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\crossref{https://doi.org/10.4213/tmf466}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1869960}
\zmath{https://zbmath.org/?q=an:0992.37071}
\transl
\jour Theoret. and Math. Phys.
\yr 2001
\vol 127
\issue 3
\pages 738--743
\crossref{https://doi.org/10.1023/A:1010491516302}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170636700004}
Linking options:
https://www.mathnet.ru/eng/tmf466
https://doi.org/10.4213/tmf466
https://www.mathnet.ru/eng/tmf/v127/i3/p388
This publication is cited in the following 2 articles:
Xianguo Geng, Xin Zeng, “Application of the trigonal curve to the Blaszak–Marciniak lattice hierarchy”, Theoret. and Math. Phys., 190:1 (2017), 18–42
Chang X.-K., Hu X.-B., Yu G.-F., “An Integrable Semi-Discrete Equation and Combinatorial Numbers with their Combinatorial Interpretations”, J. Differ. Equ. Appl., 19:7 (2013), 1093–1107