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Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice

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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.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Scientific Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, China

    J.-X. Zhao & X.-B. Hu

  2. Graduate School, Chinese Academy of Sciences, Beijing, China

    J.-X. Zhao

  3. Department of Computer Science, Hong Kong Baptist University Kowloon Tong, Hong Kong, China

    H.-W. Tam

Authors
  1. J.-X. Zhao
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  2. X.-B. Hu
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  3. H.-W. Tam
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 144, No. 3, pp. 484–491, September, 2005.

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Zhao, JX., Hu, XB. & Tam, HW. Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice. Theor Math Phys 144, 1288–1295 (2005). https://doi.org/10.1007/s11232-005-0160-4

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  • DOI: https://doi.org/10.1007/s11232-005-0160-4

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