Geodesic
YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 107-119

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DOI

We present a systematic construction of the discrete KP hierarchy in terms of Sato–Wilson-type shift operators. Reductions of the equations in this hierarchy to 1+1-dimensional integrable lattice systems are considered, and the problems that arise with regard to the symmetry algebra underlying the reduced systems as well as the ultradiscretizability of these systems are discussed. A scheme for constructing ultradiscretizable reductions that give rise to Yang–Baxter maps is explained in two explicit examples.
DOI : 10.1017/S0017089508004825
Mots-clés : 39A10, 39A12 
KAKEI, S.; NIMMO, J. J. C.; WILLOX, R. YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 107-119. doi: 10.1017/S0017089508004825
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     title = {YANG{\textendash}BAXTER {MAPS} {AND} {THE} {DISCRETE} {KP} {HIERARCHY}},
     journal = {Glasgow mathematical journal},
     pages = {107--119},
     year = {2009},
     volume = {51},
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     doi = {10.1017/S0017089508004825},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004825/}
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