YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
YANG–BAXTER MAPS AND THE DISCRETE KP HIERARCHY
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DOI：
10.1017/s0017089508004825
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发表时间：
2009-02
影响因子：
0.5
通讯作者：
Saburo Kakei;J. Nimmo;R. Willox
中科院分区：
文献类型：
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作者：
Saburo Kakei;J. Nimmo;R. Willox
Abstract 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.
