Pre-Hamiltonian operators related to hyperbolic equations of Liouville type

24 Feb 2020 Startsev S. Ya.

This text is devoted to hyperbolic equations admitting differential operators that map any function of one independent variable into a symmetry of the corresponding equation. We use the term `symmetry driver' for such operators and prove that any symmetry driver of the smallest order is pre-Hamiltonian (i.e., the image of the driver is closed with respect to the standard bracket)... (read more)

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  • EXACTLY SOLVABLE AND INTEGRABLE SYSTEMS