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arXiv · 1506.04377

Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs

Naruhiko Aizawa·Tadanori Kato
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Abstract

We construct, for any given $ \ell = \frac{1}{2} + {\mathbb N}_0, $ the second-order \textit{nonlinear} partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. The generators are obtained by a coset construction and the PDEs are constructed by standard Lie symmetry technique. It is observed that the invariant PDEs have significant difference for $ \ell > \frac{3}{2}. $

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Naruhiko Aizawa, Tadanori Kato. 2015-06-14. Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs. https://arxiv.org/abs/1506.04377

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