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Recent Preprints

abstract download J. Chen, D.E. Pelinovsky, and R.E. White Rogue waves on the periodic wave background in the focusing nonlinear Schrodinger equation, Nonlinear Dynamics, submitted, (June, 2019)
abstract download D.E. Pelinovsky, T. Penati, and S. Paleari Existence and stability of Klein-Gordon breathers in the small-amplitude limit, Proceedings of the Conference on Mathematics of Wave Phenomena 2018 submitted, (May, 2019)
abstract download A. Geyer and D.E. Pelinovsky, Spectral instability of the peaked periodic wave in the reduced Ostrovsky equation, Communciations in Mathematical Physics, submitted, (April, 2019)
abstract download F. Natali and D.E. Pelinovsky, Instability of H1-stable peakons in the Camassa-Holm equation, Journal of Differential Equations, submitted (March, 2019)
abstract download A. Kairzhan, D.E. Pelinovsky, and R.H. Goodman, Drift of spectrally stable shifted states on star graphs, SIAM Journal of Applied Dynamical Systems, submitted, (February, 2019)
abstract download G.L. Alfimov, A.S. Korobeinikov, C.J. Lustri, and D.E. Pelinovsky, Standing lattice solitons in the discrete NLS equation with saturation, Nonlinearity accepted, (October, 2018)
abstract download U.Le and D.E. Pelinovsky, Convergence of Petviashvili's method near periodic waves in the fractional Korteweg-de Vries equation, SIAM Journal of Mathematical Analysis accepted, (September, 2018)
abstract download J. Chen and D.E. Pelinovsky, Periodic travelling waves of the modified KdV equation and rogue waves on the periodic background, Journal of Nonlinear Science, submitted, (August, 2018)
abstract download P. Bizon, D. Hunik-Kostyra, and D.E. Pelinovsky, Stationary states of the cubic conformal flow on S3, Discrete Continuous Dynamical Systems A, submitted, (July, 2018)