Group Classification of Generalised Eikonal Equations

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dc.creatorPopovych, Roman O.
dc.creatorYehorchenko, Irina A.
dc.date2001-12-22
dc.date.accessioned2026-07-07T04:28:51Z
dc.date.available2026-07-07T04:28:51Z
dc.descriptionA new approach to the problem of group classification is applied to the class of first-order non-linear equations of the form $u_a u_a=F(t,u,u_t)$. It allowed complete solution of the group classification problem for a class of equations for functions depending on multiple independent variables, where highest derivatives enter nonlinearly. Equivalence groups of the class under consideration and algebraic properties of the symmetry algebra are studied. The class of equations considered presents generalisation of the eikonal and Hamilton-Jacobi equations. The paper contains the list of all non-equivalent equations from this class with symmetry extensions, and proofs of such non- equivalence. New first order non-linear equations possessing wide symmetry groups were constructed.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0112055
dc.identifierhttp://arxiv.org/abs/math-ph/0112055
dc.identifierUkrainian Mathematical Journal, Vol. 53, No. 11, 2001, p. 1841-1850
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56951
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.subjectExactly Solvable and Integrable Systems
dc.subject58J70
dc.titleGroup Classification of Generalised Eikonal Equations
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