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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2005 Volume 144, Number 3, Pages 484–491 (Mi tmf1872)

This article is cited in 5 papers

Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice

J.-X. Zhaoa, X.-B. Hua, H.-W. Tamb

a Chinese Academy of Sciences
b Hong Kong Baptist University

Abstract: We derive Wronskian and Grammian determinant solutions for the two-dimensional Leznov lattice and provide a Pfaffianized version of this Leznov lattice using Hirota and Ohta's Pfaffianization procedure. We give the Gramm-type Pfaffian solution for the Pfaffianized system explicitly.

Keywords: Pfaffianization, soliton solutions, Grammian, Wronskian, Leznov lattice.

Received: 06.10.2004

DOI: 10.4213/tmf1872


 English version:
Theoretical and Mathematical Physics, 2005, 144:3, 1288–1295

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