Bound-states spectrum of the nonlinear Schrödinger equation with Pöschl-Teller and square-potential wells

L. Al Sakkaf, U. Al Khawaja

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We obtain the spectrum of bound states for modified Pöschl-Teller and square-potential wells in the nonlinear Schrödinger equation. For a fixed norm of bound states, the spectrum for both potentials turns out to consist of a finite number of multinode localized states. Soliton scattering by these two potentials confirmed the existence of the localized states which form as trapped modes. Critical speed for quantum reflection was calculated using the energies of the trapped modes.

Original languageEnglish
Article number024206
JournalPhysical Review E
Volume106
Issue number2
DOIs
Publication statusPublished - Aug 2022

ASJC Scopus subject areas

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

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