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Soliton Equations and Simple Combinatorics

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Abstract

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.

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Authors and Affiliations

  1. Dienst Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussels, Belgium

    Franklin Lambert

  2. Departement Milieu, Technologie en Technologiemanagement, Universiteit Antwerpen, Prinsstraat 13, 2000, Antwerp, Belgium

    Johan Springael

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  1. Franklin Lambert
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  2. Johan Springael
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Correspondence to Johan Springael.

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Lambert, F., Springael, J. Soliton Equations and Simple Combinatorics. Acta Appl Math 102, 147–178 (2008). https://doi.org/10.1007/s10440-008-9209-3

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  • DOI: https://doi.org/10.1007/s10440-008-9209-3

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