Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4619412 | Journal of Mathematical Analysis and Applications | 2010 | 7 Pages |
Abstract
In this paper we discuss the differentiation of Pfaffians which is useful in Pfaffian technique. We apply the Pfaffian technique to two integrable systems; the Konopelchenko–Rogers (KR) equations and the modified Novikov–Veselov–Nizik (mNVN) equations and show that these equations in the bilinear form reduce to a Pfaffian identity. We also derive a new Lax pair for the mNVN equations which is gauge equivalent to a pair of operators.
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