The effect of Lévy index coefficient on modulational instability and rogue wave excitation in nonlocal media with cubic-quintic nonlinearities
DOI10.1016/J.PHYSD.2024.134395MaRDI QIDQ6650104
Camus Gaston Latchio Tiofack, C. B. Tabi, Hippolyte Tagwo, Timoléon C. Kofané
Publication date: 6 December 2024
Published in: Physica D (Search for Journal in Brave)
PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Stability in context of PDEs (35B35) Fractional derivatives and integrals (26A33) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Perturbations in context of PDEs (35B20) Soliton solutions (35C08) Fractional partial differential equations (35R11) Pattern formations in context of PDEs (35B36)
Cites Work
- The fractional Laplacian operator on bounded domains as a special case of the nonlocal diffusion operator
- Fractional quantum mechanics and Lévy path integrals
- Modulated charge patterns and noise effect in a twisted DNA model with solvent interaction
- Frequency mode excitations in two-dimensional Hindmarsh-Rose neural networks
- Modulational instability in fractional nonlinear Schrödinger equation
- PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background
- Fractional dynamics and modulational instability in long-range Heisenberg chains
- Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity
- Soliton dynamics in a fractional complex Ginzburg-Landau model
- Stabilization of single- and multi-peak solitons in the fractional nonlinear Schrödinger equation with a trapping potential
- (2+1)-dimensional unstable matter waves in self-interacting Pseudospin-1/2 BECs under combined Rashba and Dresselhaus spin-orbit couplings
- Modulation instability of two-dimensional Bose-Einstein condensates with helicoidal and a mixture of Rashba-Dresselhaus spin-orbit couplings
- Symmetry breaking of spatial Kerr solitons in fractional dimension
- Long-range memory effects in a magnetized Hindmarsh-Rose neural network
- Modulational instability in weak nonlocal nonlinear media with competing Kerr and non-Kerr nonlinearities
- Modulation instability, rogue waves and spectral analysis for the sixth-order nonlinear Schrödinger equation
- Unstable discrete modes in Hindmarsh-Rose neural networks under magnetic flow effect
- Fractals and quantum mechanics.
- Mean exit time and escape probability for dynamical systems driven by Lévy noises
- Numerical study of fractional nonlinear Schrödinger equations
- A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
- The disintegration of wave trains on deep water Part 1. Theory
- Solitons in a coupled system of fractional nonlinear Schrödinger equations
- Pure quartic wave modulation in optical fiber with the presence of self-steepening and intrapulse Raman scattering response
- Basic fractional nonlinear-wave models and solitons
- \(PT\)-symmetric PINN for integrable nonlocal equations: forward and inverse problems
- Weakly nonlocal matter-wave droplets and soliton trains engineering in a Bose-Einstein condensate
This page was built for publication: The effect of Lévy index coefficient on modulational instability and rogue wave excitation in nonlocal media with cubic-quintic nonlinearities
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6650104)
