

Invited articles: 


D.E. Pelinovsky,
Normal form for transverse instability of the line soliton
with a nearly critical speed of propagation,
Mathematical modeling of natural phenomena accepted,
(2018)



D.E. Pelinovsky, A.R. Giniyatullin, and Y.A. Panfilova,
On solutions of a reduced model for the dynamical evolution of contact lines,
Transactions of Nizhni Novgorod State Technical University n.a. Alexeev
N.4 (94), 4560
(2012)



G. Biondini and D. Pelinovsky,
KadomtsevPetviashvili equation,
Scholarpedia 3(10):
6539 (2008)



R.H.J. Grimshaw, L.A. Ostrovsky, and D. Pelinovsky,
Solitons in nonintegrable systems,
Chaos 15,
037101 (2005)






Regular articles: 


J.M. Foster and D.E. Pelinovsky,
Selfsimilar solutions for reversing interfaces in the slow
diffusion equation with strong absorption,
SIAM Journal of Applied Dynamical Systems 15, 20172050
(2016)



D.E. Pelinovsky and C. Xu,
On numerical modelling and the blowup behavior of contact lines with a 180degree contact angle,
Journal of Engineering Mathematics 92, 3144
(2015)



K.R. Khusnutdinova, K.R. Moore, and D.E. Pelinovsky,
Validity of the weaklynonlinear solution
of the Cauchy problem for the Boussinesqtype equation,
Studies in Applied Mathematics 133, 5283
(2014)



D.E. Pelinovsky, E.A. Rouvinskaya, O.E. Kurkina, and B. Deconinck,
Shortwave transverse instabilities of line solitons of the
twodimensional hyperbolic nonlinear Schrodinger equation,
Theoretical Mathematical Physics 179, 452461
(2014)



D. Pelinovsky, E. Pelinovsky, E. Kartashova, T. Talipova,
and A. Giniyatulin,
Universal power law for the energy spectrum of breaking Riemann waves,
JETP Letters 98, 237241
(2013)



D.E. Pelinovsky and A.R. Giniyatullin,
Finitetime singularities in the dynamical evolution of contact lines,
Bulletin of the Moscow State Regional University (Physics and Mathematics)
2012 N.3, 1424
(2012)



D. Pelinovsky,
Enstrophy growth in the viscous Burgers equation,
Dynamics of Partial Differential Equations
9, 305340
(2012)



D. Pelinovsky,
Sharp bounds on enstrophy growth
in the viscous Burgers equation,
Proceedings of Royal Society A
468, 3636–3648
(2012)



I. Didenkulova, D.E. Pelinovsky, D. Tyugin, A. Giniyatullin, and
E.N. Pelinovsky,
Travelling long waves in water rectangular channels of variable cross section,
Bulletin of the Moscow State Regional University
2012 N.5, 8993
(2012)



O.N. Kirillov, D.E. Pelinovsky, and G. Schneider,
Paradoxical transitions to instabilities in
hydromagnetic CouetteTaylor flows,
Physical Review E 84, 065301(R) (4 pages)
(2011)



D. Badali, M. Chugunova, D.E. Pelinovsky, and S. Pollack,
Regularized shock solutions in coating flows with small surface tension,
Physics of Fluids 23, 093103 (8 pp) (2011)



R. Grimshaw, D. Pelinovsky, and E. Pelinovsky,
Homogenization of the variablespeed wave equation,
Wave Motion 47,
496507 (2010)



R. Ibragimov and D. Pelinovsky,
Effects of rotation on stability of viscous stationary flows
on a spherical surface, Physics of Fluids
22, 126602 (10 pages)
(2010)



R.N. Ibragimov and D.E. Pelinovsky,
Incompressible viscous fluid flows in a thin spherical shell,
Journal of Mathematical Fluid Mechanics 11,
6090 (2009)



R.N. Ibragimov and D.E. Pelinovsky,
Threedimensional gravity waves in a channel of variable depth,
Communications in Nonlinear Science and Numerical Simulation 13,
21042113 (2008)



M. Chugunova and D. Pelinovsky,
Spectrum of a nonselfadjoint operator
associated with the periodic heat equation,
Journal of Mathematical Analysis and its Applications, 342,
970988 (2008)



B. Deconinck, D. Pelinovsky, and J.D. Carter,
Transverse instabilities of deepwater solitary waves,
Proceedings of the Royal Society A 462,
20392061 (2006)



K.R. Khusnutdinova and D.E. Pelinovsky,
On the Exchange of Energy in Coupled
KleinGordon Equations, Wave Motion
38 110 (2003)



R. Grimshaw, D. Pelinovsky, E. Pelinovsky,
and A. Slunyaev,
Generation of LargeAmplitude Solitons
in the Extended Kortewegde Vries Equation, Chaos
12, 10701076 (2002)



R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and
T. Talipova,
Wave Group Dynamics in Weakly Nonlinear
LongWave Models, Physica D
159, 3557 (2001)



V.V. Voronovich, D.E. Pelinovsky, and
V.I. Shrira,
On the Internal Wave  Shear Flow
Resonance in Shallow Water,
J. Fluid Mech. 354,
209237 (1998)



D.E. Pelinovsky and R.H.J. Grimshaw,
Instability Analysis of Internal Solitary
Waves in a Nearly Uniformly Stratified Fluid,
Phys. Fluids A 9,
33433352 (1997)



D.E. Pelinovsky and R.H.J. Grimshaw,
An Asymptotic Approach to Solitary Wave
Instability and Critical Collapse in LongWave KdVType
Evolution Equations, Physica D
98, 139155
(1996)



A.S. Fokas, R.H.J. Grimshaw, and
D.E. Pelinovsky, On
the Asymptotic Integrability of a HigherOrder Evolution Equation
Describing Internal Waves in a Deep Fluid,
J.Math.Phys. 37,
34153421 (1996)



D.E. Pelinovsky and R.H.J. Grimshaw,
Nonlocal Models for Envelope Waves in
a Stratified Fluid, Stud. Appl. Math.
97, 369391 (1996)



D.Pelinovsky,
Intermediate Nonlinear Schrodinger Equation
for Internal Waves in a Fluid of Finite Depth,
Phys. Lett. A 197,
401406 (1995)



D.E. Pelinovsky and V.I. Shrira,
Collapse Transformation for SelfFocusing
Solitary Waves in BoundaryLayer Type Shear Flows,
Phys.Lett.A 206, 195202
(1995)



K.A. Gorshkov and D.E. Pelinovsky,
Asymptotic Theory of Plane Soliton SelfFocusing
in TwoDimensional Wave Media, Physica D
85, 468484
(1995)



K.A. Gorshkov and D.E. Pelinovsky,
On a Wave Field Transformation Described
by the TwoDimensional KadomtsevPetviashvili Equation,
Inverse Problems 11, 603610
(1995)



D. Pelinovsky,
Instability and Decay of Solitary Waves
in the DaveyStewartson I System,
Phys. Lett. A 196, 181186
(1994)



D.E. Pelinovsky and Yu.A. Stepanyants,
SelfFocusing Instability of Nonlinear
Plane Waves in Shear Flows, JETP
78, 883891
(1994)



D.E. Pelinovsky and Yu.A. Stepanyants,
Solitary Wave Instability in the
PositiveDispersion Media Described by the TwoDimensional
Boussinesq Equations, JETP 79,
105112 (1994)



K.A. Gorshkov, D.E. Pelinovsky, and
Yu.A. Stepanyants, Normal and
Anomalous Scattering, Formation and Decay of Bound States of
TwoDimensional Solitons Described by the KadomtsevPetviashvili
Equation, JETF 77,
237245 (1993)



D.E. Pelinovsky and Yu.A. Stepanyants,
SelfFocusing instability of Plane Solitons
and Chains of TwoDimensional Solitons in PositiveDispersion
Media, JETF 77,
602608 (1993)






Proceedings papers: 


D.E. Pelinovsky,
A Mysterious Threshold for
Transverse Instability of DeepWater Solitons,
Mathematics and Computers in Simulations
55, 585594 (2001)
