6 citations · 6 across the 2 of their papers we have counts for
3 papers
math.AP2026
Genericity of singularities of solutions to quasilinear systems on compact sets
Azamat Shavlukov
We study the genericity of singularities of types in solutions of the equations of gas dynamics and nonlinear geometrical optics. The sets of solutions satisfying…
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…
nlin.SI2021★ 6 cited
Integrable Abel equation and asymptotics of symmetry solutions of Korteweg-de Vries equation
B. I. Suleimanov, A. M. Shavlukov
We provide a general solution for a first order ordinary differential equation with a rational right-hand side, which arises in constructing asymptotics for large time of simultane…