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 |