Pfaffianization of the Differential-Difference KP Equation

Jun-Xiao Zhao; Chun-Xia Li; Xing-Biao Hu

doi:10.1143/jpsj.73.1159

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Pfaffianization of the Differential-Difference KP Equation

Jun-Xiao Zhao, Chun-Xia Li, Xing-Biao Hu

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Keywords: differential-difference KP equation, Pfaffianization, Wronskian (Casorati) determinant, Lie symmetries

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2004 Volume 73 Issue 5 Pages 1159-1163

DOI https://doi.org/10.1143/jpsj.73.1159

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Abstract

We present an integrable coupled differential-difference Kadomtsev–Peviashvili equation, which is derived by extending Ohta and Hirota’s Pfaffianization procedure to the differential-difference KP equation. Some Lie symmetries of this resulting system are also presented explicitly.

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