A.S. Fokas,
D.E. Pelinovsky, and C. Sulem,
Interaction of Lumps With a Line
Soliton for the DSII Equation, Physica D
152-153, 189-198 (2001)
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)
A. Comech and D. Pelinovsky,
Purely nonlinear instability of standing waves
with minimal energy, Comm. Pure Appl. Math.
56, 1565-1607 (2003)
D.E. Pelinovsky and R.H.J. Grimshaw,
Structural Transformation of Eigenvalues
for a Perturbed Algebraic Soliton Potential,
Phys. Lett. A 229,
165-172 (1997)
J. Chen and D.E. Pelinovsky,
Rogue periodic waves in the focusing nonlinear Schrodinger equation,
Proceeding of Royal Society of London A, 474, 20170814 (18 pages)
(2018)
Yu. Liu, D. Pelinovsky, and A. Sakovich,
Wave breaking in the short-pulse equation,
Dynamics of PDE 6,
291-310 (2009)
K.R. Khusnutdinova and D.E. Pelinovsky,
On the exchange of energy in coupled
Klein-Gordon equations, Wave Motion
38, 1-10 (2003)
V.V. Konotop, D.E. Pelinovsky, and D.A. Zezyulin,
Discrete solitons in PT-symmetric lattices,
European Physics Letters
100, 56006 (6 pages) (2012)
D. Pelinovsky and A. Sakovich,
Global well-posedness of the short-pulse and sine-Gordon equations
in energy space,
Communications in PDE 35,
613-629
E.W. Kirr, P.G. Kevrekidis, and D.E. Pelinovsky,
Symmetry-breaking bifurcation in the nonlinear
Schrodinger equation with symmetric potentials,
Commun. Math. Phys. 308,
795-844 (2011)
D.E. Pelinovsky,
Inertia law for spectral stability of
solitary waves in coupled nonlinear Schrodinger equations, Proc. Roy. Soc. Lond. A
461, 783-812 (2005)
N.V. Alexeeva, I.V. Barashenkov, and
D.E. Pelinovsky,
Dynamics of the parametrically driven NLS
solitons beyond the onset of the oscillatory instability,
Nonlinearity 12, 103-140
(1999)
D. Noja, D. Pelinovsky, and G. Shaikhova
Bifurcations and stability of standing waves in the nonlinear Schrodinger equation
on the tadpole graph,
Nonlinearity 28, 2343-2378
(2015)
J. Chen and D.E. Pelinovsky,
Rogue periodic waves in the modified KdV equation,
Nonlinearity 31, 1955-1980
(2018)
I.V. Barashenkov, O.F. Oxtoby, and D.E. Pelinovsky,
Translationally invariant discrete kinks from one-dimensional maps,
Phys. Rev. E 72 035602(R) (2005)
Y. Liu, D. Pelinovsky, and A. Sakovich,
Wave breaking in the Ostrovsky-Hunter equation,
SIAM Journal of Mathematical Analysis 42,
1967–1985 (2010)
O.F. Oxtoby, D.E. Pelinovsky, and I.V. Barashenkov,
Travelling kinks in discrete phi-4 models,
Nonlinearity 19,
217-235 (2006)
J. Yang and D.E. Pelinovsky,
Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E
67 016608 (2003)
D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis, and V. Zharnitsky,
Hamiltonian averaging for solitons with nonlinearity management, Phys. Rev. E
70, 047604 (5 pages) (2004)
D. Pelinovsky,
Translationally invariant nonlinear Schrodinger lattices,
Nonlinearity 19,
2695-2716 (2006)
D.E. Pelinovsky, D. Frantzeskakis, and P.G. Kevrekidis,
Oscillations of dark solitons in trapped Bose-Einstein condensates,
Phys. Rev. E 72 016615 (2005)
D.E. Pelinovsky and Yu.S. Kivshar,
Stability Criterion for Multi-Component Solitary Waves,
Phys. Rev. E 62, 8668-8676
(2000)
D.E. Pelinovsky and Yu.A. Stepanyants,
New Multisoliton
Solutions of the Kadomtsev-Petviashvili Equation,
JETP Lett. 57, 24-28
D.E. Pelinovsky, J. Sears, L. Brzozowski, and
E.H. Sargent,
Stable All-Optical Limiting in Nonlinear Periodic
Structures. I: Analysis, J. Opt. Soc. Am. B
19, 43-53
(2002)
D.E. Pelinovsky and V.M. Rothos,
Bifurcations of travelling breathers in the discrete
NLS equations,
Physica D 202 16-36 (2005)
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Citation indices are last updated on December 12, 2022.
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