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Invited papers:
abstract download A. Chernyavsky, P.G. Kevrekidis, and D.E. Pelinovsky, Krein signature in Hamiltonian and PT-symmetric systems, Parity-time Symmetry and Its Applications, Editors: D. Christodoulides and J. Yang, Springer Tracts in Modern Physics 280 (Springer, New York) 465-491 (2019)

K.R. Khusnutdinova and D.E. Pelinovsky, Preface: Nonlinear waves in fluids in honor of Roger Grimshaw on the occasion of his 80th birthday, Studies in Applied Mathematics 142, 215-218 (2019) and Studies in Applied Mathematics 142, 417-418 (2019)

Regular articles:
abstract download P. Bizon, D. Hunik-Kostyra, and D.E. Pelinovsky, Ground state of the conformal flow on S3 Communications in Pure and Applied Mathematics 72, 1123-1151 (2019)
abstract download A. Geyer and D.E. Pelinovsky, Linear instability and uniqueness of the peaked periodic wave in the reduced Ostrovsky equation, SIAM Journal of Mathematical Analysis 51, 1188-1208 (2019)
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 51, 2850-2883 (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, revised, (2019)
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, accepted, (2019)
abstract download H. Huh and D.E. Pelinovsky, Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions, Applied Mathematics Letters 92, 176-183 (2019)
abstract download N. Joshi and D.E. Pelinovsky, Integrable semi-discretization of the massive Thirring system in laboratory coordinates, Journal of Physics: Mathematical Theoretical 52, 03LT01 (12pp) (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 32, 3445-3484 (2019)
abstract download T. Dohnal and D.E. Pelinovsky, Bifurcation of nonlinear bound states in the periodic Gross-Pitaevskii equation with PT-symmetry, Proceedings of the Royal Society of Edinburgh A (2019)

Proceedings papers:
abstract download D.E. Pelinovsky and A. Saalmann, Inverse scattering for the massive Thirring model, Fields Institute Communications, , (2019)