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Recent Preprints

abstract download J. Chen and D.E. Pelinovsky, Rogue periodic waves in the focusing nonlinear Schrodinger equation, Proceeding of Royal Society of London A, in preparation, (December, 2017)
abstract download A. Kairzhan and D.E. Pelinovsky, Spectral stability of shifted states on star graphs, Journal of Physics A: Mathematical Theoretical submitted, (November, 2017)
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 (October, 2017)
abstract download P.G. Kevrekidis and D.E. Pelinovsky On the characterization of vortex configurations in the steady rotating Bose-Einstein condensates Proceeding of Royal Society of London A, accepted, (September, 2017)
abstract download Jamie M. Foster, Peter Gysbers, John R. King, and Dmitry E. Pelinovsky Bifurcations of self-similar solutions for reversing interfaces in the slow diffusion equation with strong absorption SIAM Journal of Applied Mathematics, submitted, (August, 2017)
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, submitted, (July, 2017)
abstract download A. Chernyavsky and D.E. Pelinovsky, Krein signature for instability of PT-symmetric states, Physica D submitted, (June, 2017)
abstract download A. Kairzhan and D.E. Pelinovsky, Nonlinear instability of half-solitons on star graphs, Journal of Differential Equations submitted, (May, 2017)
abstract download J. Chen and D.E. Pelinovsky, Rogue periodic waves in the modified Korteweg-de Vries equation, Nonlinearity accepted, (April, 2017)
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 accepted, (March, 2017)
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 revised, (February, 2017)
abstract download C. Garcia-Azpeitia and D.E. Pelinovsky, Bifurcations of multi-vortex configurations in rotating Bose-Einstein condensates, Milan Journal of Mathematics accepted, (January, 2017)