CHARLES A. MILLER
Department of Mathematics
University of Notre Dame
Notre Dame, IN 46556-5683, USA
http://www.nd.edu/~cmiller6
cmiller6@nd.edu
Abstract:
The algebraic geometric approach to N-component systems
of nonlinear integrable PDE's is used to obtain and analyze
explicit solutions of the Classical Boussinesq equation and
the Coupled Dym equations. Analysis of soliton fission/fusion,
kink to anti-kink transitions and multipeaked soliton solutions
is carried out by means of a related mechanical system.