Acta Applicandae Mathematicae

, Volume 102, Issue 2–3, pp 147–178 | Cite as

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.


Soliton NLPDE Integrable systems Bäcklund transformation Lax pairs 

AMS Subject Classifications

35Q51 37K40 14H70 


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© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  1. 1.Dienst Theoretische NatuurkundeVrije Universiteit BrusselBrusselsBelgium
  2. 2.Departement Milieu, Technologie en TechnologiemanagementUniversiteit AntwerpenAntwerpBelgium

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