# Equivalence groupoid and group classification of a class of nonlinear wave and elliptic equations

@article{Vaneeva2020EquivalenceGA, title={Equivalence groupoid and group classification of a class of nonlinear wave and elliptic equations}, author={Olena O. Vaneeva and Alexander Bihlo and Roman O. Popovych}, journal={arXiv: Mathematical Physics}, year={2020} }

Enhancing and essentially generalizing the results of [Nonlinear Anal. 70 (2009), 3512-3521] on a class on (1+1)-dimensional nonlinear wave and elliptic equations, we apply several new technique to classify admissible point transformations within this class up to the equivalence generated by its equivalence group. This gives an exhaustive description of its equivalence groupoid. After extending the algebraic method of group classification to non-normalized classes of differential equations, we…

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