Solitons and Spectral Transform for the Kadomtsev-Petviashvili Equation

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

Abstract

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.

Keywords

Soliton 

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References

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    M. Boiti, J. JP. Léon, F. Pempinelli and A. Pogrebkov, “Solitons and Spectral Transform for the DSI and KPI equations”, to appear in the Proceedings of the Dubna Workshop on “Solitons and their applications” (August 1989).Google Scholar
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    M. Boiti, F. Pempinelli and A. Pogrebkov, preprint in preparation.Google Scholar
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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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