On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization (Q2642122)

Using the bilinear formalism and Wronskian Casorati technique, the authors present \(N\)-soliton solutions for the integrable semi-discrete and fully-discrete versions of the Leznov lattice. The pfaffianized form of the bilinear semi-discrete Leznov lattice is obtained by applying the method of pfaffianization of Hirota and Ohta, and a new integrable coupled system is deduced.