Acta Applicandae Mathematicae

, Volume 109, Issue 1, pp 257–272 | Cite as

Cartan’s Structure of Symmetry Pseudo-Group and Coverings for the r-th Modified Dispersionless Kadomtsev–Petviashvili Equation



We derive two non-equivalent coverings for the r-th dKP equation from Maurer–Cartan forms of its symmetry pseudo-group. Also we find Bäcklund transformations between the obtained covering equations.


Lie pseudo-groups Maurer–Cartan forms Symmetries of differential equations Coverings of differential equations 

Mathematics Subject Classification (2000)

58H05 58J70 35A30 


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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Moscow State Technical University of Civil AviationMoscowRussia

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