Top Cited Publications

  1. Yu.S. Kivshar and D.E. Pelinovsky, Self-focusing and transverse instabilities of solitary waves, Phys. Rep. 331, 117-195 (2000)
  2. I.V. Barashenkov, D.E. Pelinovsky, and E.V. Zemlyanaya, Vibrations and Oscillatory Instabilities of Gap Solitons, Phys. Rev. Lett. 80, 5117-5120 (1998)
  3. Yu.S. Kivshar, D.E. Pelinovsky, T. Cretegny, and M. Peyrard, Internal Modes of Solitary Waves, Phys. Rev. Lett. 80, 5032-5035 (1998)
  4. D.E. Pelinovsky, A.V. Buryak, and Yu.S. Kivshar, Instability of Solitons Governed by Quadratic Nonlinearities, Phys. Rev. Lett. 75, 591-595 (1995)
  5. D.E. Pelinovsky, A.A. Sukhorukov, and Yu. S. Kivshar, Bifurcations and stability of gap solitons in periodic potentials, Phys. Rev. E 70 036618 (2004)
  6. D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Internal Modes of Envelope Solitons, Physica D 116, 121-142 (1998)
  7. D.E. Pelinovsky, V.V. Afanasjev, and Yu.S. Kivshar, Nonlinear Theory of Oscillating, Decaying, and Collapsing Solitons in the Generalized Nonlinear Schrodinger Equation, Phys.Rev.E. 53, 1940-1953 (1996)
  8. D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis, Stability of discrete solitons in nonlinear Schrodinger lattices, Physica D, 212, 1-19 (2005)
  9. D.E. Pelinovsky, P.G. Kevrekidis, and D.J. Frantzeskakis, Averaging for solitons with nonlinearity management, Phys. Rev. Lett. 91, 240201 (2003)
  10. D.E. Pelinovsky, P.G. Kevrekidis, and D. Frantzeskakis, Persistence and stability of discrete vortices in nonlinear Schrodinger lattices, Physica D, 212, 20-53 (2005)
  11. D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Instability-Induced Dynamics of Dark Solitons, Phys.Rev.E 54, 2015-2032 (1996)
  12. S. Cuccagna, D. Pelinovsky, and V. Vougalter, Spectra of positive and negative energies in the linearized NLS problem, Comm. Pure Appl. Math. 58 1-29 (2005)
  13. D.E. Pelinovsky and Yu. A. Stepanyants, Convergence of Petviashvili's iteration method for numerical approximation of stationary solutions of nonlinear wave equations, SIAM J. Numer. Anal. 42, 1110-1127 (2004)
  14. D.E.Pelinovsky, Yu.A.Stepanyants and Yu.S.Kivshar, Self-Focusing of Plane Dark Solitons in Nonlinear Defocusing Media, Phys.Rev.E 51, 5016-5026 (1995)
  15. R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and T. Talipova, Wave Group Dynamics in Weakly Nonlinear Long-Wave Models, Physica D 159, 35-57 (2001)
  16. N.V. Alexeeva, I.V. Barashenkov, and D.E. Pelinovsky, Dynamics of the parametrically driven NLS solitons beyond the onset of the oscillatory instability, Nonlinearity 12, 103-140 (1999)
  17. A. Abdelrazec and D. Pelinovsky, Convergence of the Adomian decomposition method for initial-value problems, Numerical Methods for PDEs 27, 749-766 (2011)
  18. D.E. Pelinovsky, J. Sears, L. Brzozowski, and E.H. Sargent, Stable All-Optical Limiting in Nonlinear Periodic Structures. I: Analysis, J. Opt. Soc. Am. B 19, 43-53 (2002)
  19. D.E. Pelinovsky and Yu.S. Kivshar, Stability Criterion for Multi-Component Solitary Waves, Phys. Rev. E 62, 8668-8676 (2000)
  20. R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and A. Slunyaev, Generation of Large-Amplitude Solitons in the Extended Korteweg-de Vries Equation, Chaos 12, 1070-1076 (2002)
  21. D.E. Pelinovsky, Inertia law for spectral stability of solitary waves in coupled nonlinear Schrodinger equations, Proc. Roy. Soc. Lond. A 461, 783-812 (2005)
  22. J. Yang and D.E. Pelinovsky, Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E 67 016608 (2003)
  23. A. Comech and D. Pelinovsky, Purely nonlinear instability of standing waves with minimal energy, Comm. Pure Appl. Math. 56, 1565-1607 (2003)
  24. D.E. Pelinovsky, P.G. Kevrekidis, D.J. Frantzeskakis, and V. Zharnitsky, Hamiltonian averaging for solitons with nonlinearity management, Phys. Rev. E 70, 047604 (5 pages) (2004)
  25. D.E. Pelinovsky and R.H.J. Grimshaw, Structural Transformation of Eigenvalues for a Perturbed Algebraic Soliton Potential, Phys. Lett. A 229, 165-172 (1997)
  26. D.E. Pelinovsky and R.H.J. Grimshaw, An Asymptotic Approach to Solitary Wave Instability and Critical Collapse in Long-Wave KdV-Type Evolution Equations, Physica D 98, 139-155 (1996)
  27. D.E. Pelinovsky, Instabilities of Dispersion-Managed Solitons in the Normal Dispersion Regime, Phys. Rev. E 62, 4283-4293 (2000)


Numbers next to the title display citation indices since the time of publication.
Citation indices are last updated on May 1, 2016.