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Invited articles: |
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P. Bizon, F. Ficek, D.E. Pelinovsky, and S. Sobieszek
Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic
potential,
Nonlinear Analysis 210, 112358 (36 pages)
(2021)
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D.E. Pelinovsky,
Instability of double-periodic solutions in
the nonlinear Schrodinger equation,
Frontiers in Physics, 9, 599146 (10 pages)
(2021)
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D.E. Pelinovsky,
Book Review: Nonlinear Dirac equations: Spectral stability of solitary waves, by N. Boussaıd
and A. Comech, Mathematical Surveys and Monographs, Vol. 244, American
Mathematical Society, Providence, RI, 2019,
Bulletin of the American Mathematical Society 58, 289-294
(2021)
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Regular articles: |
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G. Berkolaiko, J.L. Marzuola, and D.E. Pelinovsky,
Edge-localized states on quantum graphs in the limit of large mass,
Annales de l'Institut Henri Poincare C, Analyse Non Lineaire 38, 1295-1335
(2021)
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J. Chen, D.E. Pelinovsky, and J. Upsal,
Modulational instability of periodic standing waves in the derivative NLS equation,
Journal of Nonlinear Science, 31 58 (32 pages)
(2021)
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J. Chen and D.E. Pelinovsky,
Rogue waves on the background of periodic standing waves
in the derivative nonlinear Schrodinger equation,
Physical Review E 103, 062206 (25 pages)
(2021)
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R.M. Chen and D.E. Pelinovsky,
W1,∞ instability of H1-stable peakons
in the Novikov equation,
Dynamics of PDE 18, 173-197
(2021)
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A. Kairzhan and D.E. Pelinovsky,
Multi-pulse edge-localized states on quantum graphs,
Analysis and Mathematical Physics 11 171 (26 pages)
(2021)
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A. Kairzhan, R. Marangell, D.E. Pelinovsky, and K. Xiao,
Standing waves on a flower graph,
Journal of Differential Equations 271, 719-763
(2021)
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U. Le and D.E. Pelinovsky,
Green's function for the fractional KdV equation on the periodic
domain via Mittag-Leffler's function,
Fractional Calculus and Applied Analysis, 24 1507-1534
(2021)
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U. Le, D.E. Pelinovsky, and P. Poullet,
Asymptotic stability of viscous shocks in the modular Burgers equation,
Nonlinearity 34, 5979-6016
(2021)
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A. Madiyeva and D.E. Pelinovsky,
Growth of perturbations to the peaked periodic
waves in the Camassa-Holm equation,
SIAM Journal of Mathematical Analysis, 53, 3016-3039
(2021)
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D.E. Pelinovsky, A.V. Slunyaev, A.V. Kokorina, and E.N. Pelinovsky,
Stability and interaction of compactons in the sublinear KdV equation,
Communications in Nonlinear Science and Numerical Simulations 101
105855 (16 pages)
(2021)
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D.E. Pelinovsky, R.M. Ross, and P.G. Kevrekidis,
Solitary waves with intensity-dependent dispersion: variational characterization,
J. Phys. A: Math. Theor. 54 445701 (15 pages)
(2021)
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R.M. Ross, P.G. Kevrekidis, and D.E. Pelinovsky,
Localization in optical systems with an intensity-dependent dispersion,
Quarterly in Applied Mathematics 79 641-665
(2021)
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