170 citations · 491 across the 31 of their papers we have counts for
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math.AP2012
Spectral stability of nonlinear waves in KdV-type evolution equations
Dmitry E. Pelinovsky
This paper concerns spectral stability of nonlinear waves in KdV-type evolution equations. The relevant eigenvalue problem is defined by the composition of an unbounded self-adjoin…
nlin.PS2012★ 61 cited
Discrete solitons in PT-symmetric lattices
V. V. Konotop, D. E. Pelinovsky, D. A. Zezyulin
We prove existence of discrete solitons in infinite parity-time (PT-) symmetric lattices by means of analytical continuation from the anticontinuum limit. The energy balance betwee…
nlin.SI2012
Global existence of small-norm solutions in the reduced Ostrovsky equation
Roger Grimshaw, Dmitry Pelinovsky
We use a novel transformation of the reduced Ostrovsky equation to the integrable Tzitzéica equation and prove global existence of small-norm solutions in Sobolev space . T…