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Pfaffianization of the Davey-Stewartson equations. (English. Russian original) Zbl 0991.35083

Theor. Math. Phys. 128, No. 1, 870-882 (2001); translation from Teor. Mat. Fiz. 128, No. 1, 43-55 (2001).
Summary: 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.

MSC:

35Q55 NLS equations (nonlinear Schrödinger equations)
37K40 Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems
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