Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential

DOI10.1063/1.4975763zbMath1390.35345OpenAlexW2588503767WikidataQ47955087 ScholiaQ47955087MaRDI QIDQ4642550

Fa-Jun Yu

Publication date: 23 May 2018

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

Full work available at URL: https://doi.org/10.1063/1.4975763

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Discrete version of topics in analysis (39A12) Topological dynamics of nonautonomous systems (37B55) Soliton solutions (35C08) Partial difference equations (39A14)

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Cites Work

• Unnamed Item
• Nonautonomous discrete rogue wave solutions and interactions in an inhomogeneous lattice with varying coefficients
• Integrable \(\mathcal{PT}\)-symmetric local and nonlocal vector nonlinear Schrödinger equations: a unified two-parameter model
• Waves that appear from nowhere and disappear without a trace
• The discrete self-trapping equation
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Nonautonomous rogue waves and `catch' dynamics for the combined Hirota-LPD equation with variable coefficients
• Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• Nonlinear differential−difference equations
• Nonlinear differential–difference equations and Fourier analysis
• A Nonlinear Difference Scheme and Inverse Scattering
• On the Solution of a Class of Nonlinear Partial Difference Equations
• 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
• A generalized Ablowitz–Ladik hierarchy, multi-Hamiltonian structure and Darboux transformation

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