We use the bilinear method from soliton theory to produce a Pfaffian version of the Davey-Stewartson equations. The solutions of this new system of equations are Pfaffians.
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Gao, Yali
Mei, Liquan
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Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China
Mei, Liquan
Li, Rui
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Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710062, Shaanxi, Peoples R ChinaXi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China