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math-ph2020
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…
hep-th2020
Hirota-Satsuma Dynamics as a Non-Relativistic Limit of KdV Equations
Blagoje Oblak
We consider a system of two coupled KdV equations (one for left-movers, the other for right-movers) and investigate its ultra-relativistic and non-relativistic limits in the sense…
math-ph2020
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…