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


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.


Mathematical Physic Nonlinear System Linear Algebra Invariant System Galilean Invariant System 
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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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