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Recent Preprints

abstract download A. Geyer and D.E. Pelinovsky, Spectral instability of the peaked periodic wave in the reduced Ostrovsky equation, , in preparation, (April, 2019)
abstract download F. Natali and D.E. Pelinovsky, Instability of H1-stable peakons in the Camassa-Holm equation, , in preparation, (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 revised, (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 revised, (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)