Geodesic
Pfaffianization of the Davey–Stewartson Equations
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 43-55 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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C. R. Gilson; J. C. Nimmo. Pfaffianization of the Davey–Stewartson Equations. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 1, pp. 43-55. http://geodesic.mathdoc.fr/item/TMF_2001_128_1_a4/

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[7] C. R. Gilson, J. J. C. Nimmo, A.-L. Mason, M. Shenken, The Davey–Stewartson equations and their extension to a Pfaffian system, in preparation