Fatkhulla K.H. Abdullaev | Physical Technical Institute/Uzbek Academy of Science -...
Ioannis Kourakis | Queen's University Belfast - Irlanda do Norte
| Full text | |
| Author(s): |
Manikandan, K.
;
Sakkaravarthi, K.
;
Sabari, S.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | PHYSICA D-NONLINEAR PHENOMENA; v. 470, p. 15-pg., 2024-10-07. |
| Abstract | |
Studies on optical solitons in inhomogeneous media continue to attract immense interest. This work is devoted to exploring the evolution dynamics of solitons in inhomogeneous nonuniform optical media with parity-time reversal (PT)-symmetric rational potential and variable dispersion through explicit solutions. For this purpose, we consider a variable-coefficient nonlinear Schr & ouml;dinger (vcNLS) equation containing PT-symmetric rational potential consisting of constant nonlinearity and longitudinally-varying dispersion and tapering effects. By implementing a similarity transformation, one of the efficient methods to analyze variable-coefficient (non-autonomous) nonlinear models, we construct explicit soliton (similariton) solutions and investigate deformations occurring in the characteristics of the optical solitons resulting from various dispersion modulations. Notably, we unravel the dynamical changes in the amplitude, width, shape, speed/velocity, and localization of solitons for periodic, localized well/barrier-type, and step-like dispersion modulations leading to periodic, localized, and single-step suppression or amplification, broadening and narrowing of width, and advancing or delaying the transitions during soliton propagation in inhomogeneous media. Besides, we execute a direct numerical experiment to validate the identified analytical findings. The observed results shall enhance the understanding of solitons in inhomogeneous PT-symmetric media. As future perspectives, the present analysis can be extended to study the deformation dynamics of several other nonlinear waves in inhomogeneous media and their experimental realizations in the context of optics and other fields. (AU) | |
| FAPESP's process: | 20/02185-1 - Angular momentum dynamics in two-component Bose gases with long range interactions |
| Grantee: | Sabari Subramaniyan |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 24/04174-8 - Nonlinear excitations beyond the mean-field in dipolar Bose-Einstein condensates |
| Grantee: | Sabari Subramaniyan |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |