Solitons and Spectral Transform for the Kadomtsev-Petviashvili Equation

  • F. Pempinelli
Conference paper
Part of the Inverse Problems and Theoretical Imaging book series (IPTI)


A new spectral transform for the Kadomtsev-Petviashvili equation allows us to include wave solitons in the theory of the Inverse Spectral Transform. The Cauchy problem is completely solved. The orthogonality relations for the eigenfunctions of the associated time dependent Schrödinger equation are obtained.


Orthogonality Relation Wave Soliton Spectral Transform Arbitrary Real Constant Lump Solution 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • F. Pempinelli
    • 1
  1. 1.Laboratoire de Physique MathématiqueUSTLMontpellier Cédex 2France

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