ON THE GENERALIZED TZITZEICA CURVE EQUATION

Document Type

Article

Publication Date

1-1-2023

Abstract

The aim of this paper is to present a generalization of the Tzitzeica curve equation based on a new centro-affine invariant. The third order nonlinear ordinary differential equation of the generalized Tzitzeica curves is derived and expressed in the curve’s defining functions. A few intriguing solutions are discussed in connection with Tzitzeica curves.

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