Averaging of time-periodic systems under dispersion or nonlinearity managements

Invited papers:
abstract download V. Zharnitsky and D. Pelinovsky, Averaging of nonlinearity-managed pulses, Chaos 15, 037105 (2005)
abstract download T.I. Lakoba and D.E. Pelinovsky, Persistent Oscillations of Scalar and Vector Dispersion - Managed Solitons, Chaos 10, 539-550 (2000)

Regular papers:
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 S. Cuccagna, E. Kirr, and D. Pelinovsky, Parametric resonance of ground states in the nonlinear Schrodinger equation, J. Diff. Eqs. 220, 85-120 (2006)
abstract download P.G. Kevrekidis, D. Pelinovsky, and A. Stefanov, Nonlinearity management in higher dimensions, J.Phys. A: Math. Gen. 39, 479-488 (2006)
abstract download M. Porter, M. Chugunova, and D. Pelinovsky, Feshbach resonance management of Bose-Einstein condensates in optical lattices, Physical Review E 74, 036610 (2006)
abstract download D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis, and V. Zharnitsky, Hamiltonian averaging for solitons with nonlinearity management, Phys. Rev. E 70, 047604 (2004)
abstract download D.E. Pelinovsky, P.G. Kevrekidis, and D.J. Frantzeskakis, Averaging for solitons with nonlinearity management, Phys. Rev. Lett. 91, 240201 (2003)
abstract download D.E. Pelinovsky and J. Yang, Parametric resonance and radiative decay of dispersion-managed solitons, SIAM J. Appl. Math. 64 1360-1382 (2004)
abstract download D.E. Pelinovsky and V. Zharnitsky, Averaging of dispersion-managed pulses: existence and stability, SIAM J. Appl. Math. 63, 745-776 (2003)
abstract download D.E. Pelinovsky, Instabilities of Dispersion-Managed Solitons in the Normal Dispersion Regime, Phys. Rev. E 62, 4283-4293 (2000)

Proceedings papers:
abstract download H. Kalisch and D. Pelinovsky, Dispersion-managed solitons in the limit of large energy, Proceedings of the Steklov Institute of Mathematics Suppl. 1, 98-107 (2003)