W. Oevel et W. Strampp, WRONSKIAN SOLUTIONS OF THE CONSTRAINED KADOMTSEV-PETVIASHVILI HIERARCHY, Journal of mathematical physics, 37(12), 1996, pp. 6213-6219
The integrable Kadomtsev-Petviashvili (KP) hierarchy is compatible wit
h generalized k-constraints of the type (L(k))_ = Sigma(i) q(i) partia
l derivative(-1)tau(i). A large class of solutions-among them solitons
-can be represented by Wronskian determinants of functions satisfying
a set of linear equations. In this paper we shall obtain additional co
nditions for these functions imposed by the constraints. (C) 1996 Amer
ican Institute of Physics.