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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 (2018)
abstract download D.E. Pelinovsky, Normal form for transverse instability of the line soliton with a nearly critical speed of propagation, Math. Model. Nat. Phenom. 13, 23 (20 pages) (2018)





Regular articles:
abstract download J. Chen and D.E. Pelinovsky, Rogue periodic waves in the modified KdV equation, Nonlinearity 31, 1955-1980 (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 A. Chernyavsky and D.E. Pelinovsky, Krein signature for instability of PT-symmetric states, Physica D 371, 48-59 (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.M. Foster, P. Gysbers, J.R. King, and D.E. Pelinovsky Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption Nonlinearity 31 4621-4648 (2018)
abstract download G.A. Gottwald and D.E. Pelinovsky, On the impossibility of solitary Rossby waves in meridionally unbounded domains, Physics of Fluids 30, 116601 (7 pages) (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 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 5663-5728 (2018)
abstract download D.E. Pelinovsky and Yu.A. Stepanyants, Helical solitons in vector modified Korteweg-de Vries equations, Physics Letters A 382 3165-3171 (2018)