Geodesic
ON A GENERALIZED TZITZEICA EQUATION
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 221-231

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DOI

Extending the so called coupled KP hierarchy to negative time flows one obtains coupled Toda-type equations defined on a two-dimensional lattice. These equations allow for reductions to 1+1 dimensional integrable systems that are defined on a finite part of this lattice. A system of coupled Hirota bilinear equations, obtained from such a reduction and defined on only 5 points of the lattice, will be shown to correspond to a coupling of a Tzitzeica equation to two linear equations. The Lax representation of this system is also presented.
DOI : 10.1017/S0017089505002429
Mots-clés : 37K10, 35Q58 
WILLOX, RALPH. ON A GENERALIZED TZITZEICA EQUATION. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 221-231. doi: 10.1017/S0017089505002429
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