Resumen de Soliton Equations and Simple Combinatorics

Franklin Lambert, Johan Springael

• A systematic, elementary and pedagogical approach to a class of soliton equations, and to their spectral formulation, is presented. This approach, based on the use of exponential polynomials, follows naturally from a comparison of some simple results for two representatives of the class: the KdV- and the Boussinesq-equation.