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Invited papers:

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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)

download D. Noja and D.E. Pelinovsky, Preface: Symmetries of Nonlinear PDEs on Metric Graphs and Branched Networks, Editors: D. Noja and D.E. Pelinovsky Symmetry (MDPI, Basel) (2019)





Regular articles:
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 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 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 29, 2797-2843 (2019)
abstract download J. Chen, D.E. Pelinovsky, and R.E. White Rogue waves on the double-periodic background in the focusing nonlinear Schrodinger equation, Physical Review E 100, 052219 (18 pages) (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 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 A. Kairzhan, D.E. Pelinovsky, and R.H. Goodman, Drift of spectrally stable shifted states on star graphs, SIAM Journal of Applied Dynamical Systems 18, 1723-1755 (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 T. Xu and D.E. Pelinovsky, Darboux transformation and soliton solutions of the semi-discrete massive Thirring model, Physics Letters A 383, 125948 (14 pages) (2019)





Proceedings papers:
abstract download D.E. Pelinovsky and A. Saalmann, Inverse scattering for the massive Thirring model, Nonlinear Dispersive Partial Differential Equations and Inverse Scattering (Editors: P. Miller, P. Perry, J.C. Saut, and C. Sulem), Fields Institute Communications 83 (Springer, New York, NY), 497-528 (2019)