INTEGRABLE EVOLUTION SYSTEMS BASED ON GENERALIZED SELF-DUAL YANG-MILLS EQUATIONS AND THEIR SOLITON-LIKE SOLUTIONS

A class of integrable evolution systems in the spacetime R(2n+1) (n gr eater than or equal to 2) based on the generalized self-dual Yang-Mill s equations are constructed. It is proved that the Darboux matrix meth od is applicable to these systems and a lot of explicit solutions are obtained. Starting with the trivial solutions, single soliton solution s and multi-soliton solutions are constructed. They are almost localiz ed and the interaction between solitons is almost elastic.