2 papers
nlin.PS2025
Dynamics of ring solitons in an expanding cloud of a Bose-Einstein condensate
A. M. Kamchatnov, B. I. Suleimanov, E. N. Tsoy
In this paper, we derive equations for the dynamics of ring dark solitons in an expanding cloud of a two-dimensional Bose-Einstein condensate. Assuming that the soliton's width is…
math-ph2023
Typical dropping asymptotics of quasiclassical approximations to solutions of the nonlinear Schrödinger equation
Sergej Melikhov, Bulat Suleimanov, Azamat Shavlukov
Formal asymptotics are substantiated that describe typical dropping cusp singularity of quasiclassical approximations to solutions of two cases of the integrable nonlinear Schrödin…