One-dimensional optical solitons in cubic–quintic–septimal media with $$\varvec{\mathcal {PT}}$$PT-symmetric potentials
Sign Up to like & getrecommendations! Published in 2017 at "Nonlinear Dynamics"
DOI: 10.1007/s11071-016-3138-x
Abstract: A ($$1+1$$1+1)-dimensional inhomogeneous cubic–quintic–septimal nonlinear Schrödinger equation with $$\mathcal {PT}$$PT-symmetric potentials is studied, and two families of soliton solutions are obtained. From soliton solutions, the amplitude of soliton is independent of the $$\mathcal {PT}$$PT-symmetric potential… read more here.
Keywords: cubic quintic; quintic septimal; dimensional optical; one dimensional ... See more keywords
Multi-soliton propagation in generalized inhomogeneous NLS equation with symmetric potentials
Sign Up to like & getrecommendations! Published in 2019 at "Optik"
DOI: 10.1016/j.ijleo.2018.12.186
Abstract: Abstract We investigate the generalized inhomogeneous NLS equation with symmetric potentials. Corresponding Lax pair is constructed through AKNS procedure. Based on the obtained Lax pair, one and two soliton solutions are generated via Darboux transformation… read more here.
Keywords: generalized inhomogeneous; symmetric potentials; equation symmetric; inhomogeneous nls ... See more keywords
Data driven soliton solution of the nonlinear Schrödinger equation with certain P T-symmetric potentials via deep learning.
Sign Up to like & getrecommendations! Published in 2022 at "Chaos"
DOI: 10.1063/5.0086038
Abstract: We investigate the physics informed neural network method, a deep learning approach, to approximate soliton solution of the nonlinear Schrödinger equation with parity time symmetric potentials. We consider three different parity time symmetric potentials, namely,… read more here.
Keywords: symmetric potentials; soliton solution; deep learning; equation ... See more keywords
Superoscillatory PT -symmetric potentials
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review A"
DOI: 10.1103/physreva.98.043830
Abstract: We introduce the one-dimensional PT-symmetric Schrodinger equation, with complex potentials in the form of the canonical superoscillatory and suboscillatory functions known in quantum mechanics and optics. While the suboscillatory-like potential always generates an entirely real… read more here.
Keywords: superoscillatory symmetric; symmetric potentials; symmetry;
Spectral singularities of odd- PT -symmetric potentials
Sign Up to like & getrecommendations! Published in 2019 at "Physical Review A"
DOI: 10.1103/physreva.99.013823
Abstract: We describe one-dimensional stationary scattering of a two-component wave field by a non-Hermitian matrix potential which features odd-$PT$ symmetry, i.e., symmetry with $(PT)^2=-1$. The scattering is characterized by a $4\times 4$ transfer matrix. The main… read more here.
Keywords: odd symmetric; singularities odd; transfer matrix; symmetric potentials ... See more keywords