Bilinear Form Approach to the Self-Dual Yang-Mills Equations and Integrable Systems in (2+1)-Dimension
1998 年 67 巻 1 号 p. 83-86
詳細
1998 年 67 巻 1 号 p. 83-86
We apply Hirota's bilinear form approach to the analysis ofthe SU(2) self-dual Yang-Mills equations.Solutions of the bilinear forms are represented by usingthe Toda-molecule type determinants with new linear dispersion relations.We also discuss dimensional reductions of the bilinear formsand the (2+1)-dimensional integrable equations derived from them.These integrable equations are higher dimensional extension ofthe nonlinear Schröinger equation and the derivativenonlinear Schrödinger equation.
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