Double Soliton Solutions of Belinsky-Zakharov Equation Related to the Self-Dual SU(N) Gauge Fields

摘要

The Belinsky-Zakharov inverse scattering method is extended to a double high-dimension form. It is associated with the self-dual SU(N) gauge fields. With the harmonic function method, some scattering wave functions can be directly obtained. The one-soliton solution and general n-soliton solution are given.