Article ID Journal Published Year Pages File Type
4619412 Journal of Mathematical Analysis and Applications 2010 7 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Analysis