158 citations · 992 across the 34 of their papers we have counts for
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math-ph2020★ 1 cited
Topological Bifurcations and Reconstruction of Travelling Waves
Blagoje Oblak
This paper is devoted to periodic travelling waves solving Lie-Poisson equations based on the Virasoro group. We show that the reconstruction of any such solution can be carried ou…
math-ph2020★ 10 cited
Berry Phases in the Reconstructed KdV Equation
Blagoje Oblak, Gregory Kozyreff
We consider the KdV equation on a circle and its Lie-Poisson reconstruction, which is reminiscent of an equation of motion for fluid particles. For periodic waves, the stroboscopic…
math-ph2015★ 16 cited
From the Lorentz Group to the Celestial Sphere
Blagoje Oblak
In these lecture notes we review the isomorphism between the (connected) Lorentz group and the set of conformal transformations of the sphere. More precisely, after establishing th…