F. Guil et M. Manas, FINITE-RANK CONSTRAINTS ON LINEAR FLOWS AND THE DAVEY-STEWARTSON EQUATION, Journal of physics. A, mathematical and general, 28(6), 1995, pp. 1713-1726
Finite-rank constraints for the right-derivatives of certain automorph
isms solving the heat equation imply the Davey-Stewartson system. Solu
tions comprising Wronskian and Grammian determinants are found and the
real reductions for the Davey-Stewartson I and Davey-Stewartson II ar
e considered.