Solitons in open <i>N</i> = 2 string theory

The open N=2 string theory is defined on the four-dimensional space-time with split signature (+,+,-,-). field action of described by Wess-Zumino-Witten (WZW_4) model. Equation motion WZW_4 model Yang equation which equivalent to anti-self-dual Yang-Mills equation. In this paper, we study soliton-type classical solutions in calculating density We find that one-soliton localized a three-dimensional hyperplane. This shows there would be codimension-one-solitonic objects, or equivalently, some kind three-branes theory. also prove asymptotic region space-time, n-soliton ``nonlinear superposition'' n one-solitons. suggests existence intersecting strings. Finally make reduction (1+2)-dimensional real calculate energy densities soliton solutions. can successfully evaluate distribution for two-soliton and no singularity interacting region. implies smooth codimension-one branes whole Soliton Euclidean are discussed.