Abstract
We apply Hirota's bilinear form approach to the analysis of the SU(2) self-dual Yang-Mills equations. Solutions of the bilinear forms are represented by using the Toda-molecule type determinants with new linear dispersion relations. We also discuss dimensional reductions of the bilinear forms and the (2+1)-dimensional integrable equations derived from them. These integrable equations are higher dimensional extension of the nonlinear Schroinger equation and the derivative nonlinear Schrodinger equation.
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