期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 362, 期 1, 页码 224-230出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2009.07.060
关键词
Pfaffian; Integrable systems
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. (C) 2009 Elsevier Inc. All rights reserved.
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