Pfaffianization procedure due to Hirota and Ohta is applied to the two-dimensional Toda lattice. As a result, a Pfaffianized version of the two-dimensional Toda lattice is found. 2004 Elsevier Inc. All rights reserved.In 1991, Hirota and Ohta [1,2] developed an effective procedure of what we now call Pfaffianization, which allows one to produce new coupled systems of equations with solutions in the form of Pfaffians. Recently, there has been growing interest in this direction. For example, such a procedure has been successfully applied to the Davey-Stewartson equations [3], the discrete KP equation [4] and the self-dual Yang-Mills equation [5]. Besides, the Pfaffianized KP hierarchies have been investigated in [6].The purpose of this paper is to apply the procedure of Hirota and Ohta to the following bilinear two-dimensional Toda lattice:where the bilinear operators D x D s and exp(D n ) are defined by [7,8] D x D s a · b ≡ ∂ ∂x − ∂ ∂x ∂ ∂s − ∂ ∂s a(x, s)b(x , s )| x =x, s =s
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