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Regular articles:
abstract download M. Chugunova and D. Pelinovsky, On quadratic eigenvalue problems arising in stability of discrete vortices, Linear Algebra and its Applications 431, 962-973 (2009)
abstract download T. Dohnal, D. Pelinovsky, and G. Schneider, Coupled-mode equations and gap solitons in a two-dimensional nonlinear elliptic problem with a separable periodic potential, Journal of Nonlinear Science, 19, 95-131 (2009)
abstract download C. Gallo and D.E. Pelinovsky, Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation, J. Math. Anal. Appl. 355, 495–5261 (2009)
abstract download R.N. Ibragimov and D.E. Pelinovsky, Incompressible viscous fluid flows in a thin spherical shell, Journal of Mathematical Fluid Mechanics 11, 60-90 (2009)
abstract download P.G. Kevrekidis, D.E. Pelinovsky, and A. Stefanov, Asymptotic stability of small solitons in the discrete nonlinear Schrodinger equation in one dimension, SIAM Journal of Mathematical Analysis 41, 2010-2030 (2009)
abstract download Yu. Liu, D. Pelinovsky, and A. Sakovich, Wave breaking in the short-pulse equation, Dynamics of PDE 6, 291-310 (2009)
abstract download T.R.O. Melvin, A.R. Champneys, and D.E. Pelinovsky, Discrete traveling solitons in the Salerno model, SIAM Journal of Applied Dynamical Systems 8, 689–709 (2009)





Proceedings papers:
abstract download M. Chugunova and D. Pelinovsky, On the uniform convergence of the Chebyshev interpolants for solitons, Mathematics and Computers in Simulations, 80, 794-803 (2009)