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• W1570990084 abstract "The new examples are found of the constraints which link the 1+2-dimensional and multifield integrable equations and lattices. The vector and matrix generalizations of the Nonlinear Schrodinger equation and the Ablowitz-Ladik lattice are considered among the other multifield models. It is demonstrated that using of the symmetries belonging to the hierarchies of these equations leads, in particular, to the KP equation and twodimensional analogs of the dressing chain, Toda lattice and dispersive long waves equations. In these examples the multifield equation and its symmetry have meaning of the Lax pair for the corresponding twodimensional equation under some compatible constraint between field variables and eigenfunctions." @default.
• W1570990084 created "2016-06-24" @default.
• W1570990084 creator A5044348533 @default.
• W1570990084 date "2000-11-21" @default.
• W1570990084 modified "2023-09-27" @default.
• W1570990084 title "On the relation between multifield and multidimensional integrable equations" @default.
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