Self-defocusing nonlinear coupled system with PT-symmetric super-Gaussian potential

DOI10.1063/5.0159925zbMath1545.35169MaRDI QIDQ6552171

Thasneem A. R., Subha P. A.

Publication date: 8 June 2024

Published in: Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Soliton solutions (35C08)

Cites Work

• Higher-dimensional soliton generation, stability and excitations of the \(\mathcal{PT}\)-symmetric nonlinear Schrödinger equations
• \(\mathcal{PT}\)-symmetric peakon solutions in self-focusing/defocusing power-law nonlinear media: stability, interactions and adiabatic excitations
• Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials
• Stable solitons and interactions of the logarithmic nonlinear Schrödinger equation with two \(\mathcal{PT} \)-symmetric non-periodic potentials
• Parity-time symmetric coupled systems with varying loss/gain coefficient
• Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation
• Single-hump and double-hump solitons in a symmetric complex potential
• Propagation of local spatial solitons in power-law nonlinear PT-symmetric potentials based on finite difference
• Solitons in \(\mathcal{PT}\)-symmetric systems with spin-orbit coupling and critical nonlinearity
• Symmetry breaking of solitons in the PT-symmetric nonlinear Schrödinger equation with the cubic-quintic competing saturable nonlinearity

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