Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation
Abstract
We derive two non-equivalent coverings for the r-th mdKP equation from Maurer--Cartan forms of its symmetry pseudo-group. Also we find Bäcklund transformations between the covering equations.
- Publication:
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arXiv e-prints
- Pub Date:
- March 2008
- DOI:
- 10.48550/arXiv.0803.0961
- arXiv:
- arXiv:0803.0961
- Bibcode:
- 2008arXiv0803.0961M
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems