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nlin.PS2020★ 1 cited
On periodic boundary solutions for cylindrical and spherical KdV-Burgers equations
Alexey Samokhin
For the KdV-Burgers equations for cylindrical and spherical waves the development of a regular profile starting from an equilibrium under a periodic perturbation at the boundary is…
nlin.SI2020
On connection between the splitting parameters of KdV initial datum and its conservation quantities
Alexey Samokhin
An arbitrary compact-support initial datum for the Korteweg-de Vries equation asymptotically splits into solitons and a radiation tail, moving in opposite direction. We give asimpl…
nlin.SI2020
The KdV soliton crosses a dissipative and dispersive border
Alexey Samokhin
We demonstrate the behavior of the soliton which, while moving in non-dissipative and dispersion-constant medium encounters a finite-width barrier with varying dissipation and/or d…