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Generic solutions for some integrable lattice equations

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Abstract

We derive the expressions for ψ-functions and generic solutions of lattice principal chiral equations, the lattice KP hierarchy, and the hierarchy including lattice N-wave type equations. The τ-function ofn free fermions plays a fundamental role in this context. Miwa's coordinates in our case appear as the lattice parameters.

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Authors
  1. L. V. Bogdanov
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Additional information

Landau Institute for Theoretical Physics, IINS, GSP-1 117940, Kosygina 2, Moscow V-334, Russia. E-mail: leonid@cpd.landau.free.net, leonid@itp.chg.free.net. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 99, No. 2, pp. 177–184, May, 1994.

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Bogdanov, L.V. Generic solutions for some integrable lattice equations. Theor Math Phys 99, 505–510 (1994). https://doi.org/10.1007/BF01016131

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