Dispersion management and optical soliton engineering in nonuniform inhomogeneous \(\mathcal{PT} \)-symmetric nonlinear media
DOI10.1016/j.physd.2024.134388MaRDI QIDQ6650097
Kannan Manikandan, Subramaniyan Sabari, K. Sakkaravarthi
Publication date: 6 December 2024
Published in: Physica D (Search for Journal in Brave)
dispersion managementvariable-coefficient nonlinear Schrödinger equationinhomogeneous optical media\(\mathcal{PT}\)-symmetric rational potentialoptical soliton engineering
PDEs in connection with optics and electromagnetic theory (35Q60) NLS equations (nonlinear Schrödinger equations) (35Q55) Numerical methods for discrete and fast Fourier transforms (65T50) Lasers, masers, optical bistability, nonlinear optics (78A60) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)
Cites Work
- Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides
- Nonlinear localized modes in \(\mathcal{PT}\)-symmetric optical media with competing gain and loss
- Emergent nonlinear phenomena in Bose-Einstein condensates. Theory and experiment
- Localized modes of the (n+1)-dimensional Schrödinger equation with power-law nonlinearities in \(\mathcal{PT}\)-symmetric potentials
- Multiple rogue wave, dark, bright, and solitary wave solutions to the KP-BBM equation
- On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation
- Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations
- Dynamics of 1D and 3D quantum droplets in parity-time-symmetric harmonic-Gaussian potentials with two competing nonlinearities
- \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations
- Lump wave solutions and the interaction phenomenon for a variable-coefficient Kadomtsev-Petviashvili equation
- Spatiotemporal engineering of matter-wave solitons in Bose-Einstein condensates
- Modulational instability of spin-orbit coupled Bose-Einstein condensates in discrete media
- Multiple soliton solutions of the generalized Hirota-Satsuma-Ito equation arising in shallow water wave
- A variational approach to the modulational-oscillatory instability of Bose-Einstein condensates in an optical potential
- Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials
- Nonautonomous cnoidal wave and soliton management in parity-time symmetric potentials
- Soliton and Rogue Wave Solution of the New Nonautonomous Nonlinear Schrödinger Equation
- Designable Integrability of the Variable Coefficient Nonlinear Schrödinger Equations
- Nonlinear Waves in Integrable and Nonintegrable Systems
- Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry
- The nonlinear Schrödinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations
- Rogue waves in nonlinear Schrödinger models with variable coefficients: application to Bose-Einstein condensates
- Deep learning soliton dynamics and complex potentials recognition for 1D and 2D \(\mathcal{PT}\)-symmetric saturable nonlinear Schrödinger equations
- Fundamental, dipole, and vortex solitons in fractional nonlinear Schrödinger equation with a parity-time-symmetric periodic potential
- Controllable nonlinear waves in graded-index waveguides (GRIN)
- Deformation of optical solitons in a variable-coefficient nonlinear Schrödinger equation with three distinct \(\mathcal{PT}\)-symmetric potentials and modulated nonlinearities
- PT-symmetric solitons and parameter discovery in self-defocusing saturable nonlinear Schrödinger equation via LrD-PINN
- A gradient-enhanced physics-informed neural networks method for the wave equation
This page was built for publication: Dispersion management and optical soliton engineering in nonuniform inhomogeneous \(\mathcal{PT} \)-symmetric nonlinear media