Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation

Details Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation Cartan's structure of symmetry pseudo-group and coverings for the r-th modified dispersionless Kadomtsev--Petviashvili equation

2008-03-06

arxiv.org/abs/0803.0961v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

We derive two non-equivalent coverings for the r-th mdKP equation from
Maurer--Cartan forms of its symmetry pseudo-group. Also we find B\"acklund
transformations between the covering equations.

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