Hamiltonian averaging for solitons with nonlinearity management

D. E. Pelinovsky, P. G. Kevrekidis, D. J. Frantzeskakis, V. Zharnitsky

Research output: Contribution to journalArticlepeer-review


We revisit the averaged equation, derived in Pelinovsky [Phys. Rev. Lett. 91, 240201 (2003)] from the nonlinear Schrödinger (NLS) equation with the nonlinearity management. We show that this averaged equation is valid only at the initial time interval, while a new Hamiltonian averaged NLS equation can be used at longer time intervals. Using the new averaged equation, we construct numerically matter-wave solitons in the context of the Bose-Einstein condensates under the Feshbach resonance management. We show that there is no threshold on the existence of dark solitons of large amplitudes, whereas such a threshold exists for bright solitons.

Original languageEnglish (US)
Pages (from-to)3
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Issue number4
StatePublished - 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


Dive into the research topics of 'Hamiltonian averaging for solitons with nonlinearity management'. Together they form a unique fingerprint.

Cite this