Michal Marvan (Mathematical Institute, Silesian University in Opava, Czech Republic)

Recursion operator for the intrinsic generalized sine-Gordon equation

Abstract:
We find the inverse and direct recursion operator for the intrinsic generalized sine-Gordon equation in any number n > 2 of independent variables. Among the flows generated by the direct operator we identify a higher-dimensional analogue of the pmKdV equation. Results have been published in Fundamental and Applied Mathematics 12 (2006), no. 7, 117-128 (http://www.math.msu.su/~fpm/rus/k06/k067/k06708h.htm).

Joint work with M. Poboril.