Seminarium "The Trans-Carpathian Seminar on Geometry & Physics"
sala 2.23, ul. Pasteura 5
Iryna Yehorchenko (IMPAN)
Using contact transformations to solve partial differential equations
We demonstrate using hodograph and contact transformations to solve first-order nonlinear PDE and overdetermined systems of first- and second-order PDEs. As a result, we find parametric general solutions of these equations. We will discuss relations of the found solutions to symmetry solutions and to symmetry of the original equations.