KdV type hierarchies , the string equation and WI + constraints

  • Johan Van De Leur
To every partition n = ~ + n2 + "" + ns one can associate a vertex operator realization of the Lie algebras am and gl n. Using this construction we make reductions of the s-component KP hierarchy, reductions which are related to these partitions. In this way we obtain matrix KdV type equations. Now assuming that (1) r is a r-function of the [nhn2 ..... ns… CONTINUE READING