Home 2009 2007

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Books:


abstract M. Grasseli and D.E. Pelinovsky, Numerical Mathematics (Jones and Bartlett, Boston) (2008)





Articles in books:
abstract download D.E. Pelinovsky, Asymptotic reductions of the Gross-Pitaevskii equation, Emergent Nonlinear Phenomena in Bose-Einstein Condensates, Eds. P.G. Kevrekidis, D.J. Franzeskakis, and R. Carretero-Gonzalez, Springer-Verlag, New York, pp. 377-398 (2008)





Invited articles:
abstract download D. Pelinovsky and P. Kevrekidis, Periodic oscillations of dark solitons in parabolic potentials, AMS Contemporary Mathematics, 473, 159-180 (2008)





Scholar articles:
download download G. Biondini and D. Pelinovsky, Kadomtsev-Petviashvili equation, Scholarpedia 3(10): 6539 (2008)





Regular articles:
abstract download M. Chugunova and D. Pelinovsky, Spectrum of a non-self-adjoint operator associated with the periodic heat equation, Journal of Mathematical Analysis and its Applications, 342, 970-988 (2008)
abstract download T. Dohnal and D. Pelinovsky, Surface gap solitons at a nonlinearity interface, SIAM Journal of Applied Dynamical Systems, 7, 249-264 (2008)
abstract download R.N. Ibragimov and D.E. Pelinovsky, Three-dimensional gravity waves in a channel of variable depth, Communications in Nonlinear Science and Numerical Simulation 13, 2104-2113 (2008)
abstract download M. Lukas, D. Pelinovsky, and P.G. Kevrekidis, Lyapunov-Schmidt reduction algorithm for three-dimensional discrete vortices, Physica D 237, 339-350 (2008)
abstract download P. Panayotaros and D. Pelinovsky, Periodic oscillations of discrete NLS solitons in the presence of diffraction management, Nonlinearity, 21, 1265-1279 (2008)
abstract download D.E. Pelinovsky and P.G. Kevrekidis, Dark solitons in external potentials, Z. angew. Math. Phys. 59, 559-599 (2008)
abstract download D.E. Pelinovsky and P.G. Kevrekidis, Stability of discrete dark solitons in nonlinear Schrodinger lattices, Journal of Physics A: Mathematical General 41, 185206 (10pp) (2008)
abstract download D. Pelinovsky and G. Schneider, Moving gap solitons in periodic potentials, Mathematical Methods in the Applied Sciences 31, 1739-1760 (2008)
abstract download D. Pelinovsky, G. Schneider, and R. MacKay Justification of the lattice equation for a nonlinear elliptic problem with a periodic potential, Communications in Mathematical Physics, 284, 803-831 (2008)
abstract download D.E. Pelinovsky and A. Stefanov, On the spectral theory and dispersive estimates for a discrete Schrodinger equation in one dimension, Journal of Mathematical Physics, 49, 113501 (17pp) (2008)
abstract download A.A. Sukhorukov, A.V. Lavrinenko, D.N. Chigrin, D.E. Pelinovsky, and Yu.S. Kivshar, Shaping slow-light pulses in coupled periodic waveguides, Journal of Optical Society of America B, 25, C65-C74 (2008)