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.
Citation:
J. Zhao, X. Hu, H. Tam, “Applying the Pfaffianization Procedure to the Two-Dimensional Leznov Lattice”, TMF, 144:3 (2005), 484–491; Theoret. and Math. Phys., 144:3 (2005), 1288–1295
This publication is cited in the following 5 articles:
Shen B.-J. Yu G.-F., “Matrix Integral Solutions to the Discrete and Coupled Leznov Lattice Equations”, J. Math. Anal. Appl., 500:2 (2021), 125167
Hu J. Yu G.-F. Tam H.-W., “Commutativity of the Source Generation Procedure and Integrable Semi-Discretizations: the Two-Dimensional Leznov Lattice”, J. Phys. A-Math. Theor., 45:14 (2012), 145208
Li, CX, “COMMUTATIVITY OF PFAFFIANIZATION AND BACKLUND TRANSFORMATIONS: THE LEZNOV LATTICE”, Journal of Nonlinear Mathematical Physics, 16:2 (2009), 169
Wang HY, Hu XB, Tam HW, “On the two-dimensional Leznov lattice equation with self-consistent sources”, Journal of Physics A-Mathematical and Theoretical, 40:42 (2007), 12691–12700
Yu GF, Tam HW, Hu XB, “On the integrable discrete versions of the Leznov lattice: Determinant solutions and Pfaffianization”, Journal of Mathematical Analysis and Applications, 335:1 (2007), 377–388