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- Title
Broken and unbroken PT-symmetric solutions of semi-discrete nonlocal nonlinear Schrödinger equation.
- Authors
Hanif, Y.; Saleem, U.
- Abstract
In this letter, we obtain multi-soliton solutions in terms of ratio of ordinary determinants for semi-discrete nonlocal nonlinear Schrödinger (sd-NNLS) equation by employing the Darboux transformation. We construct explicit expressions of single and double soliton solutions in zero background. We obtain symmetry-broken and symmetry-unbroken soliton solutions of sd-NNLS equation by using appropriate eigenfunctions. We notice that for symmetry non-preserving case, the potential term exhibits stable structure whereas individual fields display instability. We also obtain blowup or oscillating singular-type soliton solutions for symmetry-preserving case.
- Subjects
SCHRODINGER equation; NONLINEAR Schrodinger equation; DARBOUX transformations; BLOWING up (Algebraic geometry); EIGENFUNCTIONS
- Publication
Nonlinear Dynamics, 2019, Vol 98, Issue 1, p233
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-019-05185-1