Nonlinear waves in Bose-Einstein condensates



Invited articles:
abstract download C. Gallo and D.E. Pelinovsky, On the Thomas-Fermi approximation of the ground state in a PT-symmetric confining potential, Stud. Appl. Math. 133, 398-421 (2014)
abstract download D. Pelinovsky and P. Kevrekidis, Periodic oscillations of dark solitons in parabolic potentials, AMS Contemporary Mathematics, 473, 159-180 (2008)





Regular articles:
abstract download B.A. Malomed and D.E. Pelinovsky, Persistence of the Thomas-Fermi approximation for ground states of the Gross-Pitaevskii equation supported by the nonlinear confinement, Applied Mathematics Letters 40, 45-48 (2015)
abstract download D.E. Pelinovsky and P.G. Kevrekidis, Bifurcations of asymmetric vortices in symmetric harmonic traps, Applied Mathematics Research Express 2013 127-164 (2013)
abstract download 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)
abstract download C. Gallo and D. Pelinovsky, On the Thomas-Fermi ground state in a harmonic potential, Asymptotic Analysis 73, 53-96 (2011)
abstract download D.E. Pelinovsky and P.G. Kevrekidis, Variational approximations of trapped vortices in the large-density limit, Nonlinearity 24, 1271-1289 (2011)
abstract download D. Pelinovsky, Asymptotic properties of excited states in the Thomas-Fermi limit, Nonlinear Analysis 73, 2631-2643 (2010)
abstract download M.P. Coles, D.E. Pelinovsky, and P.G. Kevrekidis, Excited states in the Thomas-Fermi limit: a variational approach, Nonlinearity 23, 1753-1770 (2010)
abstract download P.G. Kevrekidis and D.E. Pelinovsky, Distribution of eigenfrequencies for oscillations of the ground state in the Thomas-Fermi limit, Physical Review A 81, 023627 (5 pages) (2010)
abstract download C. Gallo and D.E. Pelinovsky, Eigenvalues of a nonlinear ground state in the Thomas-Fermi approximation, J. Math. Anal. Appl. 355, 495526 (2009)
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, D. Frantzeskakis, and P.G. Kevrekidis, Oscillations of dark solitons in trapped Bose-Einstein condensates, Phys. Rev. E 72 016615 (12 pages) (2005)