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.A.Stepanyants and Yu.S.Kivshar, Self-Focusing of Plane Dark Solitons in Nonlinear Defocusing Media, Phys.Rev.E 51, 5016-5026 (1995)
  12. R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and T. Talipova, Wave Group Dynamics in Weakly Nonlinear Long-Wave Models, Physica D 159, 35-57 (2001)
  13. 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)
  14. D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Instability-Induced Dynamics of Dark Solitons, Phys.Rev.E 54, 2015-2032 (1996)
  15. 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)
  16. V. Achilleos, D.J. Frantzeskakis, P.G. Kevrekidis, and D.E. Pelinovsky, Matter-wave bright solitons in spin-orbit coupled Bose-Einstein condensates, Physical Review Letters 110, 264101 (5 pages) (2013)
  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. 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)
  19. 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)
  20. A. Comech and D. Pelinovsky, Purely nonlinear instability of standing waves with minimal energy, Comm. Pure Appl. Math. 56, 1565-1607 (2003)
  21. J. Yang and D.E. Pelinovsky, Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E 67 016608 (2003)
  22. D.E. Pelinovsky and Yu.S. Kivshar, Stability Criterion for Multi-Component Solitary Waves, Phys. Rev. E 62, 8668-8676 (2000)
  23. 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)
  24. 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)
  25. K.R. Khusnutdinova and D.E. Pelinovsky, On the exchange of energy in coupled Klein-Gordon equations, Wave Motion 38, 1-10 (2003)
  26. 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)
  27. 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)
  28. E.W. Kirr, P.G. Kevrekidis, and D.E. Pelinovsky, Symmetry-breaking bifurcation in the nonlinear Schrodinger equation with symmetric potentials, Commun. Math. Phys. 308, 795-844 (2011)
  29. I.V. Barashenkov, O.F. Oxtoby, and D.E. Pelinovsky, Translationally invariant discrete kinks from one-dimensional maps, Phys. Rev. E 72 035602(R) (2005)
  30. 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)
  31. P.G. Kevrekidis, D.E. Pelinovsky, and D.Y.Tyugin, Nonlinear stationary states in PT-symmetric lattices, SIAM Journal of Applied Dynamical Systems 12, 1210-1236 (2013)
  32. P.G. Kevrekidis, D.E. Pelinovsky, and D.Y.Tyugin, Nonlinear dynamics in PT-symmetric lattices, Journal of Physics A: Mathematical Theoretical 46, 365201 (17 pages) (2013)
  33. Yu. Liu, D. Pelinovsky, and A. Sakovich, Wave breaking in the short-pulse equation, Dynamics of PDE 6, 291-310 (2009)
  34. D.E. Pelinovsky, D. Frantzeskakis, and P.G. Kevrekidis, Oscillations of dark solitons in trapped Bose-Einstein condensates, Phys. Rev. E 72 016615 (2005)
  35. D.E. Pelinovsky, Instabilities of Dispersion-Managed Solitons in the Normal Dispersion Regime, Phys. Rev. E 62, 4283-4293 (2000)
  36. Y. Liu, D. Pelinovsky, and A. Sakovich, Wave breaking in the Ostrovsky-Hunter equation, SIAM Journal of Mathematical Analysis 42, 19671985 (2010)
  37. D.E. Pelinovsky and V.M. Rothos, Bifurcations of travelling breathers in the discrete NLS equations, Physica D 202 16-36 (2005)
  38. O.F. Oxtoby, D.E. Pelinovsky, and I.V. Barashenkov, Travelling kinks in discrete phi-4 models, Nonlinearity 19, 217-235 (2006)
  39. V.V. Konotop, D.E. Pelinovsky, and D.A. Zezyulin, Discrete solitons in PT-symmetric lattices, European Physics Letters 100, 56006 (6 pages) (2012)
  40. D. Pelinovsky and A. Sakovich, Global well-posedness of the short-pulse and sine-Gordon equations in energy space, Communications in PDE 35, 613-629


Numbers next to the title display citation indices since the time of publication.
Citation indices are last updated on January 1, 2018.