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Invited papers:
abstract download D.E. Pelinovsky, Normal form for transverse instability of the line soliton with a nearly critical speed of propagation, Mathematical modeling of natural phenomena (2018)
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 Springer, New York (2018)





Regular articles:
abstract download D.E. Pelinovsky and Y. Shimabukuro, Existence of global solutions to the derivative NLS equation with the inverse scattering transform method, International Mathematics Research Notices (2018)
abstract download A. Kairzhan and D.E. Pelinovsky, Spectral stability of shifted states on star graphs, Journal of Physics A: Mathematical Theoretical 51 095203 (23 pages) (2018)
abstract download A. Kairzhan and D.E. Pelinovsky, Nonlinear instability of half-solitons on star graphs, Journal of Differential Equations 264 7357-7383 (2018)
abstract download A. Chernyavsky and D.E. Pelinovsky, Krein signature for instability of PT-symmetric states, Physica D 371 48-59 (2018)
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, (2018)
abstract download A. Contreras, D.E. Pelinovsky, and M. Plum, Orbital stability of domain walls in coupled Gross-Pitaevskii systems, SIAM Journal of Mathematical Analysis 50, 810-833 (2018)
abstract download J. Chen and D.E. Pelinovsky, Rogue periodic waves in the focusing nonlinear Schrodinger equation, Proceeding of Royal Society of London A, 474, 20170814 (18 pages) (2018)
abstract download J. Chen and D.E. Pelinovsky, Rogue periodic waves in the modified KdV equation, Nonlinearity 31 1955-1980 (2018)
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 (2018)