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math-ph2026
Dispersionless Hirota system and hidden symmetries of heavenly equation
Andriy Panasyuk, Adam Szereszewski
In 2021 Konopelchenko, Schief and Szereszewski observed that solutions of 4D dispersionless Hirota system also solve the general heavenly equation describing self-dual vacuum Einst…
math-ph2013
Towards conformally flat isothermic metrics
Adam Szereszewski, Antoni Sym
According to [8] if the stationary Schroedinger equation on n-dim. Riemann space admits R-separation of variables (i.e. separation of variables with a factor R), then the underlyin…
math-ph2011★ 5 cited
On Darboux's Approach to R-Separability of Variables
Antoni Sym, Adam Szereszewski
We discuss the problem of -separability (separability of variables with a factor ) in the stationary Schrödinger equation on -dimensional Riemann space. We follow the appr…