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Invited articles: |
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J. Belmonte-Beitia and D. Pelinovsky,
Bifurcation of gap solitons in periodic potentials with
a periodic sign-varying nonlinearity coefficient, Applicable Analysis,
89, 1335-1350 (2010)
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D.E. Pelinovsky,
Asymptotic reductions of the Gross-Pitaevskii equation,
Emergent Nonlinear Phenomena in Bose-Einstein Condensates, Eds. P.G. Kevrekidis,
D.J. Franzeskakis, and R. Carretero-Gonzalez,
Springer-Verlag, New York, pp. 377-398 (2008)
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Regular papers: |
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J. Hornick, D.E. Pelinovsky and G. Schneider,
On the long-wave approximation of solitary waves in cylindrical coordinates,
Nonlinear Differential Equations and Applications 32
(2025) 50 (27 pages)
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T. Dohnal, D.E. Pelinovsky, and G. Schneider,
Traveling modulating pulse solutions with small tails for a nonlinear wave equation in periodic media,
Nonlinearity 37
(2024) 055005 (36 pages)
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D.E. Pelinovsky and D.V. Ponomarev,
Justification of a nonlinear Schrodinger model
for laser beams in photopolymers,
Z. Angew. Math. Phys. 65, 405-433
(2014)
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D. Pelinovsky and G. Schneider,
Rigorous justification of the short-pulse equation,
Nonlinear Differential Equations and Applications
20, 1277-1294
(2013)
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D.E. Pelinovsky and T.Phan,
Normal form for the symmetry-breaking bifurcation in the
nonlinear Schrodinger equation,
Journal of Differential Equations
253, 2796-2824
(2012)
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T. Dohnal and D. Pelinovsky,
Vortex families near a spectral edge
in the Gross-Pitaevskii equation with a two-dimensional periodic potential,
Physical Review E 85, 026605 (6 pages)
(2012)
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M. Coles and D. Pelinovsky,
Loops of energy bands for Bloch waves
in optical lattices,
Studies in Applied Mathematics 128,
300-336 (2012)
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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)
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D. Pelinovsky and G. Schneider,
Bounds on the tight-binding approximation for the
Gross-Pitaevskii equation with a periodic potential,
Journal of Differential Equations 248,
837-849 (2010)
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T. Dohnal, D. Pelinovsky, and G. Schneider,
Coupled-mode equations and gap solitons in a two-dimensional
nonlinear elliptic problem with a separable periodic potential,
Journal of Nonlinear Science, 19,
95-131 (2009)
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D. Pelinovsky and G. Schneider,
Moving gap solitons in periodic potentials,
Mathematical Methods in the Applied Sciences 31,
1739-1760 (2008)
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D. Pelinovsky, G. Schneider, and R. MacKay
Justification of the lattice equation for a
nonlinear elliptic problem with a periodic potential,
Communications in Mathematical Physics, 284,
803-831 (2008)
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D. Pelinovsky and G. Schneider,
Justification of the coupled-mode approximation for
a nonlinear elliptic problem with a periodic potential,
Applicable Analysis 86,
1017-1036 (2007)
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