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Reviews: |
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A.V. Slunyaev, D.E. Pelinovsky, and E.N. Pelinovsky
Rogue waves in the sea: observations, physics and mathematics,
Phys. Usp. 66 (2023) 148-172;
Russian version: Uspekhi in Physical Sciences 193 (2023) 155-181
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Invited articles: |
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D.E. Pelinovsky,
Normal form for transverse instability of the line soliton
with a nearly critical speed of propagation,
Math. Model. Nat. Phenom. 13, 23 (20 pages)
(2018)
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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), 45-60
(2012)
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G. Biondini and D. Pelinovsky,
Kadomtsev-Petviashvili equation,
Scholarpedia 3(10):
6539 (2008)
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R.H.J. Grimshaw, L.A. Ostrovsky, and D. Pelinovsky,
Solitons in nonintegrable systems,
Chaos 15,
037101 (2005)
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Regular articles: |
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S. Locke and D. E. Pelinovsky,
On smooth and peaked traveling waves in a local model for shallow water waves,
J. Fluid Mech. 1004
(2025) A1 (27 pages)
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S. Locke and D. E. Pelinovsky,
Peaked Stokes waves as solutions of Babenko's equation,
Applied Mathematics Letters 161
(2025) 109359 (5 pages)
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D.E. Pelinovsky and Yu.A. Stepanyants,
Helical solitons in vector modified Korteweg-de Vries
equations,
Physics Letters A 382 3165-3171
(2018)
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G.A. Gottwald and D.E. Pelinovsky,
On the impossibility of solitary Rossby waves
in meridionally unbounded domains,
Physics of Fluids 30, 116601 (7 pages)
(2018)
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J.M. Foster, P. Gysbers, J.R. King, and D.E. Pelinovsky
Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation
with strong absorption
Nonlinearity 31 4621-4648
(2018)
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J.M. Foster and D.E. Pelinovsky,
Self-similar solutions for reversing interfaces in the slow
diffusion equation with strong absorption,
SIAM Journal of Applied Dynamical Systems 15, 2017-2050
(2016)
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D.E. Pelinovsky and C. Xu,
On numerical modelling and the blow-up behavior of contact lines with a 180-degree contact angle,
Journal of Engineering Mathematics 92, 31-44
(2015)
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K.R. Khusnutdinova, K.R. Moore, and D.E. Pelinovsky,
Validity of the weakly-nonlinear solution
of the Cauchy problem for the Boussinesq-type equation,
Studies in Applied Mathematics 133, 52-83
(2014)
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D.E. Pelinovsky, E.A. Rouvinskaya, O.E. Kurkina, and B. Deconinck,
Short-wave transverse instabilities of line solitons of the
two-dimensional hyperbolic nonlinear Schrodinger equation,
Theoretical Mathematical Physics 179, 452-461
(2014)
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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, 237-241
(2013)
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D.E. Pelinovsky and A.R. Giniyatullin,
Finite-time singularities in the dynamical evolution of contact lines,
Bulletin of the Moscow State Regional University (Physics and Mathematics)
2012 N.3, 14-24
(2012)
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D. Pelinovsky,
Enstrophy growth in the viscous Burgers equation,
Dynamics of Partial Differential Equations
9, 305-340
(2012)
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D. Pelinovsky,
Sharp bounds on enstrophy growth
in the viscous Burgers equation,
Proceedings of Royal Society A
468, 3636–3648
(2012)
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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, 89-93
(2012)
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O.N. Kirillov, D.E. Pelinovsky, and G. Schneider,
Paradoxical transitions to instabilities in
hydromagnetic Couette-Taylor flows,
Physical Review E 84, 065301(R) (4 pages)
(2011)
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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)
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R. Grimshaw, D. Pelinovsky, and E. Pelinovsky,
Homogenization of the variable-speed wave equation,
Wave Motion 47,
496-507 (2010)
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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)
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R.N. Ibragimov and D.E. Pelinovsky,
Incompressible viscous fluid flows in a thin spherical shell,
Journal of Mathematical Fluid Mechanics 11,
60-90 (2009)
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R.N. Ibragimov and D.E. Pelinovsky,
Three-dimensional gravity waves in a channel of variable depth,
Communications in Nonlinear Science and Numerical Simulation 13,
2104-2113 (2008)
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M. Chugunova and D. Pelinovsky,
Spectrum of a non-self-adjoint operator
associated with the periodic heat equation,
Journal of Mathematical Analysis and its Applications, 342,
970-988 (2008)
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B. Deconinck, D. Pelinovsky, and J.D. Carter,
Transverse instabilities of deep-water solitary waves,
Proceedings of the Royal Society A 462,
2039-2061 (2006)
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K.R. Khusnutdinova and D.E. Pelinovsky,
On the Exchange of Energy in Coupled
Klein-Gordon Equations, Wave Motion
38 1-10 (2003)
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R. Grimshaw, D. Pelinovsky, E. Pelinovsky,
and A. Slunyaev,
Generation of Large-Amplitude Solitons
in the Extended Korteweg-de Vries Equation, Chaos
12, 1070-1076 (2002)
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R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and
T. Talipova,
Wave Group Dynamics in Weakly Nonlinear
Long-Wave Models, Physica D
159, 35-57 (2001)
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V.V. Voronovich, D.E. Pelinovsky, and
V.I. Shrira,
On the Internal Wave - Shear Flow
Resonance in Shallow Water,
J. Fluid Mech. 354,
209-237 (1998)
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D.E. Pelinovsky and R.H.J. Grimshaw,
Instability Analysis of Internal Solitary
Waves in a Nearly Uniformly Stratified Fluid,
Phys. Fluids A 9,
3343-3352 (1997)
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D.E. Pelinovsky and R.H.J. Grimshaw,
An Asymptotic Approach to Solitary Wave
Instability and Critical Collapse in Long-Wave KdV-Type
Evolution Equations, Physica D
98, 139-155
(1996)
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A.S. Fokas, R.H.J. Grimshaw, and
D.E. Pelinovsky, On
the Asymptotic Integrability of a Higher-Order Evolution Equation
Describing Internal Waves in a Deep Fluid,
J.Math.Phys. 37,
3415-3421 (1996)
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D.E. Pelinovsky and R.H.J. Grimshaw,
Nonlocal Models for Envelope Waves in
a Stratified Fluid, Stud. Appl. Math.
97, 369-391 (1996)
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D.Pelinovsky,
Intermediate Nonlinear Schrodinger Equation
for Internal Waves in a Fluid of Finite Depth,
Phys. Lett. A 197,
401-406 (1995)
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D.E. Pelinovsky and V.I. Shrira,
Collapse Transformation for Self-Focusing
Solitary Waves in Boundary-Layer Type Shear Flows,
Phys.Lett.A 206, 195-202
(1995)
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K.A. Gorshkov and D.E. Pelinovsky,
Asymptotic Theory of Plane Soliton Self-Focusing
in Two-Dimensional Wave Media, Physica D
85, 468-484
(1995)
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K.A. Gorshkov and D.E. Pelinovsky,
On a Wave Field Transformation Described
by the Two-Dimensional Kadomtsev-Petviashvili Equation,
Inverse Problems 11, 603-610
(1995)
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D. Pelinovsky,
Instability and Decay of Solitary Waves
in the Davey-Stewartson I System,
Phys. Lett. A 196, 181-186
(1994)
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D.E. Pelinovsky and Yu.A. Stepanyants,
Self-Focusing Instability of Nonlinear
Plane Waves in Shear Flows, JETP
78, 883-891
(1994)
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D.E. Pelinovsky and Yu.A. Stepanyants,
Solitary Wave Instability in the
Positive-Dispersion Media Described by the Two-Dimensional
Boussinesq Equations, JETP 79,
105-112 (1994)
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K.A. Gorshkov, D.E. Pelinovsky, and
Yu.A. Stepanyants, Normal and
Anomalous Scattering, Formation and Decay of Bound States of
Two-Dimensional Solitons Described by the Kadomtsev-Petviashvili
Equation, JETP 77,
237-245 (1993)
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D.E. Pelinovsky and Yu.A. Stepanyants,
Self-Focusing instability of Plane Solitons
and Chains of Two-Dimensional Solitons in Positive-Dispersion
Media, JETP 77,
602-608 (1993)
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Proceedings papers: |
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D.E. Pelinovsky,
A Mysterious Threshold for
Transverse Instability of Deep-Water Solitons,
Mathematics and Computers in Simulations
55, 585-594 (2001)
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