Ukrainian Mathematical Journal

, Volume 53, Issue 11, pp 1841–1850 | Cite as

Group Classification of Generalized Eikonal Equations

  • R. O. Popovych
  • I. A. Ehorchenko


By using a new approach to a group classification, we perform a symmetry analysis of equations of the form uaua = F(t, u, ut) that generalize the well-known eikonal and Hamilton–Jacobi equations.


Group Classification Jacobi Equation Eikonal Equation Symmetry Analysis Generalize Eikonal Equation 
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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • R. O. Popovych
    • 1
  • I. A. Ehorchenko
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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