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Annali di Matematica Pura ed Applicata

, Volume 144, Issue 1, pp 219–227 | Cite as

On the Riemann-Hilbert transformations for a Galilean invariant system

  • Yoshimasa Nakamura
Article
  • 35 Downloads

Summary

As an application of the Riemann-Hilbert (RH) problem to mathematical physics, the RH transformations are considered for a Galilean invariant nonlinear system. Algebraic RH transformation gives rise to new solutions from the old via a calculation in linear algebra. It is proved that the infinitesimal RH transformations form an infinite-dimensional Lie algebra without using a hierarchy of potentials.

Keywords

Mathematical Physic Nonlinear System Linear Algebra Invariant System Galilean Invariant System 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1986

Authors and Affiliations

  • Yoshimasa Nakamura
    • 1
  1. 1.Department of Mathematics, Faculty of EducationGifu UniversityGifuJapan

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