

Invited articles: 


S. Cuccagna and D.E. Pelinovsky,
The asymptotic stability of solitons in the cubic
NLS equation on the line,
Applicable Analysis 93, 791822
(2014)






Regular articles: 


N. Joshi and D.E. Pelinovsky,
Integrable semidiscretization of the massive Thirring
system in laboratory coordinates,
Journal of Physics: Mathematical Theoretical 52,
03LT01 (12pp)
(2019)



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)



J. Chen and D.E. Pelinovsky,
Rogue periodic waves in the modified KdV equation,
Nonlinearity 31 19551980
(2018)



D.E. Pelinovsky and Y. Shimabukuro,
Existence of global solutions to the derivative NLS equation
with the inverse scattering transform method,
International Mathematics Research Notices 2018,
56635728
(2018)



D.E. Pelinovsky, A. Saalmann, and Y. Shimabukuro,
The derivative NLS equation: global existence with solitons,
Dynamics of PDE 14, 271294
(2017)



M. Haragus, J. Li, and D.E. Pelinovsky,
Counting unstable eigenvalues in Hamiltonian spectral
problems via commuting operators,
Communications in Mathematical Physics 354, 247268
(2017)



A. Contreras, D.E. Pelinovsky, and Y. Shimabukuro,
L2 orbital stability of Dirac solitons in the massive Thirring model,
Communications in PDEs 41, 227255
(2016)



T. Gallay and D.E. Pelinovsky,
Orbital stability in the cubic defocusing NLS equation. Part I: Cnoidal periodic waves,
Journal of Differential Equations 258, 36073638
(2015)



T. Gallay and D.E. Pelinovsky,
Orbital stability in the cubic defocusing NLS equation. Part II: The black soliton,
Journal of Differential Equations 258, 36393660
(2015)



D.E. Pelinovsky and Y. Shimabukuro,
Orbital stability of Dirac solitons,
Letters in Mathematical Physics 104, 2141
(2014)



A. Contreras and D.E. Pelinovsky,
Stability of multisolitons in the cubic NLS equation,
Journal of Hyperbolic Differential Equations 11, 329353
(2014)



T. Mizumachi and D. Pelinovsky,
Backlund transformation and L2stability of NLS solitons,
International Mathematics Research Notices
2012, 20342067
(2012)



M. Klaus, D.E. Pelinovsky, and V.M. Rothos,
Evans function for Lax operators with algebraically
decaying potentials,
J. Nonlin. Sci. 16,
144 (2006)



D. Pelinovsky and D. Wu,
Gauge transformation and spectral decomposition
for the IshimoriII equations,
J. Phys. A: Math. Gen.
36, 55575574
(2003)



D. Pelinovsky and C. Sulem,
Eigenfunctions and Eigenvalues
for a Scalar Riemann  Hilbert Problem Associated
to Inverse Scattering,
Comm. Math. Phys.
208, 713760
(2000)



D. Pelinovsky and C. Sulem,
Spectral Decomposition
for Dirac System Associated to the DSII Equation,
Inverse Problems 16,
5974 (2000)



D.E. Pelinovsky and C. Sulem,
Bifurcations of new
eigenvalues for the BenjaminOno equation,
J. Math. Phys. 39,
65526572 (1998)



D. Pelinovsky,
Rational Solutions of the KP Hierarchy and
the Dynamics of Their Poles. II. Construction of the Degenerate
Polynomial Solutions, J. Math. Phys.
39, 53775395
(1998)



I.V. Barashenkov and D.E. Pelinovsky,
Exact Vortex Solutions of the Complex
SineGordon Theory on the Plane,
Phys. Lett. B 436, 117124
(1998)



D. Pelinovsky, J. Springael, F. Lambert,
and I. Loris,
On Modified NLS, Kaup and NLBq Equations:
Differential Transformations and Bilinearization,
J. Phys. A: Math. Gen. 30,
87058717 (1997)



D.E. Pelinovsky and R.H.J. Grimshaw,
Structural Transformation of Eigenvalues
for a Perturbed Algebraic Soliton Potential,
Phys. Lett. A 229,
165172 (1997)



D.E.Pelinovsky and R.H.J.Grimshaw,
A Spectral Transform
for the Intermediate Nonlinear Shrodinger Equation,
J.Math.Phys. 36, 42034219
(1995)



V.M.Galkin, D.E.Pelinovsky, and
Yu.A.Stepanyants, The
Structure of the Rational Solutions to the Boussinesq equation,
Physica D 80, 246255
(1995)



D. Pelinovsky,
Rational Solutions of the
Kadomtsev  Petviashvili Hierarchy and the Dynamics of Their
Poles. I. New form of a general rational solution,
J.Math.Phys. 35, 58205830
(1994)



D.E. Pelinovsky and Yu.A. Stepanyants,
New Multisoliton
Solutions of the KadomtsevPetviashvili Equation,
JETP Lett. 57, 2428
(1993)






Proceedings papers: 


D.E. Pelinovsky and A. Saalmann,
Inverse scattering for the massive Thirring model,
Fields Institute Communications, ,
(2019)



D.E. Pelinovsky and V.M. Rothos,
Evans function for the AKNS problem with algebraic solitons,
"Mathematical and numerical aspects of wave propagation: WAVES 2003",
Proceedings of the Sixth International Conference on Mathematical and Numerical
Aspects of Wave Propagation Held at Jyvaskyla, Finland, 30 June  4 July 2003, Eds.
G.C. Cohen, E. Heikkola, P. Joly, P. Neittaanmaki,
Springer, 729734 (2003)



A.S. Fokas,
D.E. Pelinovsky, and C. Sulem,
Interaction of Lumps With a Line
Soliton for the DSII Equation, Physica D
152153, 189198 (2001)



D.E. Pelinovsky and C. Sulem,
Embedded Solitons of the DSII Equation,
CRM Proceedings and Lecture Notes, 27,
edited by I.M. Sigal and C. Sulem,
135145 (2001)



D.E. Pelinovsky and C. Sulem,
Asymptotic Approximations of a New
Eigenvalue in Linear Problems Without a Threshold,
Theor. Mat. Phys. 122, 98106
(2000)



D. Pelinovsky,
On a Structure of the Explicit Solutions
to the Davey  Stewartson Equations, Physica D
87, 115122 (1995)



V.M. Galkin, D.E. Pelinovsky, and
Yu.A. Stepanyants,
On the Existence of Multisolitons
Described by the KP1 equation,
Oscillations and Waves in Distributive Media,
(Nizhny Novgorod Polytechnical
Institute Press), 1519
(1992)
