Cartan’s Structure Theory of Symmetry Pseudo-Groups, Coverings and Multi-Valued Solutions for the Khokhlov–Zabolotskaya Equation |
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| Authors: | Oleg I Morozov |
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| Institution: | (1) Moscow State Technical University of Civil Aviation, Moscow, 125993, Russia |
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| Abstract: | We derive two non-equivalent coverings for the modified Khokhlov–Zabolotskaya equation from Maurer–Cartan forms of its symmetry pseudo-group. Also we find Bäcklund transformations between the obtained covering equations. We apply these results to constructing multi-valued solutions for the Khokhlov–Zabolotskaya equation. |
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| Keywords: | Lie pseudo-groups Maurer– Cartan forms Symmetries of differential equations Coverings of differential equations |
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