170 citations · 491 across the 31 of their papers we have counts for
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nlin.PS2013★ 1 cited
Nonlinear stationary states in PT-symmetric lattices
Panayotis G. Kevrekidis, Dmitry E. Pelinovsky, Dmitry Y. Tyugin
In the present work we examine both the linear and nonlinear properties of two related PT-symmetric systems of the discrete nonlinear Schrodinger (dNLS) type. First, we examine the…
physics.flu-dyn2013★ 4 cited
On solutions of the reduced model for the dynamical evolution of contact lines
Dmitry Pelinovsky
We solve the linear advection-diffusion equation with a variable speed on a semi-infinite line. The variable speed is determined by an additional condition at the boundary, which m…
math.AP2013★ 4 cited
Finite-time singularities in the dynamical evolution of contact lines
D. E. Pelinovsky, A. R. Giniyatullin
We study finite-time singularities in the linear advection-diffusion equation with a variable speed on a semi-infinite line. The variable speed is determined by an additional condi…