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Group Classification of Generalized Eikonal Equations

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Abstract

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

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Popovych, R.O., Ehorchenko, I.A. Group Classification of Generalized Eikonal Equations. Ukrainian Mathematical Journal 53, 1841–1850 (2001). https://doi.org/10.1023/A:1015202913561

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