Applied Math Seminar
		    Thursday, Nov. 6, 3:30-4:30pm


		Determinant Technique for integrable systems
			
			Prof. Kenichi Maruno
		    University of Colorado, Boulder


Abstract: 

 I will give an introduction of the determinant technique for 
integrable systems.  This technique has been developed by 
Hirota from 1980.  This technique is based on Hirota bilinear 
method and Sato theory (which is the fundamental theory based 
on the Grassmann manifold and infinite dimensional Lie algebra.)  
In this point of view, all soliton equations are just identities 
of determinant or Pfaffian. Many kinds of solutions can be 
constructed  easily by using this technique.  I will show several 
examples in both continuous and discrete integrable systems.