Interactions of bright and dark solitons with localized PT-symmetric potentials

DOI10.1063/1.4907556zbMath1345.35016arXiv1401.4241OpenAlexW3104874500WikidataQ47831794 ScholiaQ47831794MaRDI QIDQ2821613

Hadi Susanto, W. Hanif, N. Karjanto, Boris A. Malomed

Publication date: 21 September 2016

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.4241

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05) Soliton solutions (35C08)

Related Items (8)

Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations ⋮ Kink scattering from a parity-time-symmetric defect in the \(\phi^4\) model ⋮ Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations ⋮ Inverse scattering solutions and dynamics for a nonlocal nonlinear Gross-Pitaevskii equation with PT-symmetric external potentials ⋮ Broken and unbroken solutions and dynamic behaviors for the mixed local-nonlocal Schrödinger equation ⋮ Stable flat-top solitons and peakons in the PT-symmetric δ -signum potentials and nonlinear media ⋮ Dynamics of some novel breather solutions and rogue waves for the \textbf{PT}-symmetric nonlocal soliton equations ⋮ Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials

Cites Work

• Unnamed Item
• \({\mathcal{PT}}\)-symmetric periodic optical potentials
• Spatial hysteresis and optical patterns
• Dark solitons in external potentials
• Interaction of a moving dipole with a soliton in the KdV equation
• Dark solitons in atomic Bose–Einstein condensates: from theory to experiments
• Solitary pulses in linearly coupled Ginzburg-Landau equations
• Nonlinear Schrödinger equation including growth and damping
• On pseudo-Hermitian Hamiltonians and their Hermitian counterparts
• Physical realization of -symmetric potential scattering in a planar slab waveguide
• Scattering of Solitons and Dark Solitons by Potential Walls in the Nonlinear Schrödinger Equation
• Asymmetric wave propagation through nonlinear PT-symmetric oligomers
• Perturbations of dark solitons

This page was built for publication: Interactions of bright and dark solitons with localized PT-symmetric potentials