• F. Lambert
  • J. Springael
Conference paper
Part of the NATO Science Series book series (NAII, volume 201)


A key property of classical (continuous) soliton systems is the fact that they correspond to nonlinear partial differential equations (NLPDE’s) which happen to be expressible as the integrability condition for a system of linear equations. Linear eigenvalue problems and associated t-evolutions have produced classes of soliton equations [1, 2] and have led to the disclosure of major integrability features (such as the existence of multisoliton solutions and infinite sequences of conserved quantities).


Soliton Equation Exponential Polynomial Linear Eigenvalue Problem Hirota Equation Multisoliton Solution 
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Copyright information

© Springer 2006

Authors and Affiliations

  • F. Lambert
    • 1
  • J. Springael
    • 2
  1. 1.Dienst Theoretische NatuurkundeVrije Universiteit Brussel Pleinlaan 2BrusselsBelgium
  2. 2.Vakgroep M.T.T., Faculteit T.E.W.Universiteit Antwerpen Prinsstraat 13AntwerpenBelgium

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