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. 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)
  6. 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)
  7. 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)
  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, Yu.A.Stepanyants and Yu.S.Kivshar, Self-Focusing of Plane Dark Solitons in Nonlinear Defocusing Media, Phys.Rev.E 51, 5016-5026 (1995)
  10. D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Internal Modes of Envelope Solitons, Physica D 116, 121-142 (1998)
  11. 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)
  12. 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)
  13. D.E. Pelinovsky, P.G. Kevrekidis, and D.J. Frantzeskakis, Averaging for solitons with nonlinearity management, Phys. Rev. Lett. 91, 240201 (2003)
  14. R. Grimshaw, D. Pelinovsky, E. Pelinovsky, and T. Talipova, Wave Group Dynamics in Weakly Nonlinear Long-Wave Models, Physica D 159, 35-57 (2001)
  15. A. Abdelrazec and D. Pelinovsky, Convergence of the Adomian decomposition method for initial-value problems, Numerical Methods for PDEs 27, 749-766 (2011)
  16. 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)
  17. D.E. Pelinovsky, Yu.S. Kivshar, and V.V. Afanasjev, Instability-Induced Dynamics of Dark Solitons, Phys.Rev.E 54, 2015-2032 (1996)
  18. A.S. Fokas, D.E. Pelinovsky, and C. Sulem, Interaction of Lumps With a Line Soliton for the DSII Equation, Physica D 152-153, 189-198 (2001)
  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. 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)
  22. J. Chen and D.E. Pelinovsky, Rogue periodic waves in the focusing nonlinear Schrodinger equation, Proceeding of Royal Society of London A, 474, 20170814 (18 pages) (2018)
  23. Yu. Liu, D. Pelinovsky, and A. Sakovich, Wave breaking in the short-pulse equation, Dynamics of PDE 6, 291-310 (2009)
  24. K.R. Khusnutdinova and D.E. Pelinovsky, On the exchange of energy in coupled Klein-Gordon equations, Wave Motion 38, 1-10 (2003)
  25. V.V. Konotop, D.E. Pelinovsky, and D.A. Zezyulin, Discrete solitons in PT-symmetric lattices, European Physics Letters 100, 56006 (6 pages) (2012)
  26. 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
  27. 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)
  28. 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)
  29. 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)
  30. D. Noja, D. Pelinovsky, and G. Shaikhova Bifurcations and stability of standing waves in the nonlinear Schrodinger equation on the tadpole graph, Nonlinearity 28, 2343-2378 (2015)
  31. J. Chen and D.E. Pelinovsky, Rogue periodic waves in the modified KdV equation, Nonlinearity 31, 1955-1980 (2018)
  32. 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)
  33. Y. Liu, D. Pelinovsky, and A. Sakovich, Wave breaking in the Ostrovsky-Hunter equation, SIAM Journal of Mathematical Analysis 42, 1967–1985 (2010)
  34. O.F. Oxtoby, D.E. Pelinovsky, and I.V. Barashenkov, Travelling kinks in discrete phi-4 models, Nonlinearity 19, 217-235 (2006)
  35. J. Yang and D.E. Pelinovsky, Stable Vortex and Dipole Vector Solitons in a Saturable Nonlinear Medium, Phys. Rev. E 67 016608 (2003)
  36. 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)
  37. D. Pelinovsky, Translationally invariant nonlinear Schrodinger lattices, Nonlinearity 19, 2695-2716 (2006)
  38. D.E. Pelinovsky, D. Frantzeskakis, and P.G. Kevrekidis, Oscillations of dark solitons in trapped Bose-Einstein condensates, Phys. Rev. E 72 016615 (2005)
  39. D.E. Pelinovsky and Yu.S. Kivshar, Stability Criterion for Multi-Component Solitary Waves, Phys. Rev. E 62, 8668-8676 (2000)
  40. D.E. Pelinovsky and Yu.A. Stepanyants, New Multisoliton Solutions of the Kadomtsev-Petviashvili Equation, JETP Lett. 57, 24-28
  41. 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)
  42. D.E. Pelinovsky and V.M. Rothos, Bifurcations of travelling breathers in the discrete NLS equations, Physica D 202 16-36 (2005)


Numbers next to the title display citation indices since the time of publication.
Citation indices are last updated on December 12, 2022.