Exact solutions of Berkovits' string field theory

The equation of motion for Berkovits' WZW-like open (super)string field theory is shown to be integrable in the sense that it can be written as the compatibility condition ('zero-curvature condition') of some linear equations. Employing a generalization of solution-generating techniques (the splitting and the dressing methods), we demonstrate how to construct nonperturbative classical configurations of both N=1 superstring and N=2 fermionic string field theories. With and without u(n) Chan-Paton factors, various solutions of the string field equation are presented explicitly