Binding energy of soliton molecules in time-dependent harmonic potential and nonlinear interaction

U. Al Khawaja, Abdelĝali Boudjemĝa

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

We calculate the binding energy of soliton molecules of an integrable nonlinear Schrödinger equation with time-dependent harmonic potential and cubic nonlinearity. Through a scaling transformation, an exact formula for the binding energy can be derived from that of the free soliton molecules in a homogeneous background. In the special case of oscillatory time dependence, sharp resonances occur at some integer and fractional multiples of the natural frequency of the molecule. Enhanced binding is obtained at these resonances and over some finite continuous range of low frequencies.

Original languageEnglish
Article number036606
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume86
Issue number3
DOIs
Publication statusPublished - Sep 20 2012

ASJC Scopus subject areas

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

Fingerprint

Dive into the research topics of 'Binding energy of soliton molecules in time-dependent harmonic potential and nonlinear interaction'. Together they form a unique fingerprint.

Cite this