

Invited papers: 


D. Pelinovsky and J. Yang,
Stability analysis of embedded solitons
in the generalized thirdorder NLS equation,
Chaos 15,
037115 (2005)



D.E. Pelinovsky and R.H.J. Grimshaw,
Asymptotic Methods in Soliton Stability
Theory, Advances in Fluid Mechanics
Series, 12: Nonlinear Instability Analysis,
edited by L.Debnath and S.R.Choudhury,
(Computational Mechanics Publications,
Southampton, Boston), 245312
(1997)






Regular articles: 


P. Bizon, D. HunikKostyra, and D.E. Pelinovsky,
Ground state of the conformal flow on S^{3}
Communications in Pure and Applied Mathematics, accepted,
(2018)



A. Contreras, D.E. Pelinovsky, and M. Plum,
Orbital stability of domain walls in coupled GrossPitaevskii systems,
SIAM Journal of Mathematical Analysis 50, 810833
(2018)



S. Alama, L. Bronsard, A. Contreras, and D.E. Pelinovsky,
Domains walls in the coupled GrossPitaevskii equations,
Archives for Rational Mechanics and its Applications 215, 579610
(2015)



D.E. Pelinovsky and A. Stefanov,
Asymptotic stability of small gap solitons
in the nonlinear Dirac equations,
Journal of Mathematical Physics
53, 073705 (27 pages)
(2012)



M. Chugunova and D. Pelinovsky,
Count of eigenvalues in the generalized eigenvalue problem,
Journal of Mathematical Physics 51,
052901 (19 pages) (2010)



M. Chugunova and D. Pelinovsky,
On quadratic eigenvalue problems arising
in stability of discrete vortices,
Linear Algebra and its Applications 431,
962973 (2009)



M. Chugunova and D. Pelinovsky,
Twopulse solutions in the fifthorder KdV equation:
rigorous theory and numerical approximations,
Discrete and Continuous Dynamical Systems, Series B 8,
773800 (2007)



A. Comech, S. Cuccagna, and D. Pelinovsky,
Nonlinear instability of a critical traveling wave in the
generalized Korteweg  de Vries equation,
SIAM Journal on Mathematical Analysis 39,
133 (2007)



M. Chugunova and D. Pelinovsky,
Blockdiagonalization of the symmetric firstorder
coupledmode system, SIAM Journal of Applied Dynamical Systems
5, 6683 (2006)



V. Vougalter and D. Pelinovsky,
Eigenvalues of zero energy in the linearized
NLS problem,
Journal of Mathematical Physics 47,
062701 (2006)



S. Cuccagna, D. Pelinovsky, and V. Vougalter,
Spectra of positive and negative energies in the
linearized NLS problem,
Comm. Pure Appl. Math.
58 129 (2005)



S. Cuccagna and D. Pelinovsky,
Bifurcations from the end points of the essential
spectrum in the linearized NLS problem,
J. Math. Phys. 46 053520 (2005)



D.E. Pelinovsky,
Inertia law for spectral stability of
solitary waves in coupled nonlinear Schrodinger equations,
Proc. Roy. Soc. Lond. A 461 783812
(2005)



D.E. Pelinovsky and J. Yang,
Instabilities of multihump vector solitons in
coupled nonlinear Schrodinger equations,
Stud. Appl. Math. 115 109137
(2005)



Y. Kodama and D. Pelinovsky,
Spectral stability and time evolution of N solitons in KdV hierarchy,
J. Phys. A: Math. Gen. 38 61296140
(2005)



A.Comech and D. Pelinovsky,
Purely Nonlinear Instability of Standing Waves
with Minimal Energy, Comm. Pure Appl. Math.
56 15651607 (2003)



Y. Tan, J. Yang, and D.E. Pelinovsky,
Semistability of embedded solitons in the
general fifthorder KdV equation, Wave Motion
36, 241255 (2002)



D.E. Pelinovsky and J. Yang,
A normal form for nonlinear resonance of
embedded solitons, Proc. R. Soc. Lond. A
458, 14691497 (2002)






Proceedings papers: 


D.E. Pelinovsky,
Spectral stability of nonlinear waves
in KdVtype evolution equations,
"Nonlinear Physical Systems: Spectral Analysis, Stability, and
Bifurcations" (Edited by O.N. Kirillov and D.E. Pelinovsky) (WileyISTE, NJ)
377400 (2014)



T. Mizumachi and D. Pelinovsky,
On the asymptotic stability of localized modes
in the discrete nonlinear Schrodinger equation,
Discrete and Continuous Dynamical Systems Series S
5, 971987
(2012)
