Abstract

We use the Inverse Scattering Transform machinery to construct multi- soliton solutions to the 2-component defocusing nonlinear Schrodinger equation. Such solutions include dark–dark solitons, which have dark solitonic behaviour in both components, as well as dark–bright soliton solutions, with one dark and one bright component. We then derive the explicit expressions of two soliton solutions for all possible cases: two dark–dark solitons, two dark–bright solitons, and one dark–dark and one dark–bright soliton. Finally, we determine the long-time asymptotic behaviours of these solutions, which allows us to obtain explicit expressions for the shifts in the phases and in the soliton centers due to the interactions.

Autore Pugliese

• Prinari Barbara

Tutti gli autori

• G. Dean , T. Klotz , B. Prinari , F. Vitale

Titolo volume/Rivista

APPLICABLE ANALYSIS

Anno di pubblicazione

2013

ISSN

0003-6811

ISBN

Non Disponibile

Numero di citazioni Wos

7

Ultimo Aggiornamento Citazioni

28/04/2018

Numero di citazioni Scopus

8

Ultimo Aggiornamento Citazioni

28/04/2018

Settori ERC

Non Disponibile

Codici ASJC

Non Disponibile