Stability of one and two-dimensional spatial solitons in a cubic-quintic-septimal nonlinear Schrödinger equation with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials

DOI10.1016/J.WAVEMOTI.2021.102810OpenAlexW3195217721MaRDI QIDQ2124067

Camus Gaston Latchio Tiofack, Fabien II Ndzana, Alidou Mohamadou, Boubakary Abdou

Publication date: 14 April 2022

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2021.102810

zbMATH Keywords

complex potentiallocalized modesfourth-order diffractionhigher-order nonlinearitiesstability and instability structure

Mathematics Subject Classification ID

Partial differential equations (35-XX) Optics, electromagnetic theory (78-XX)

Related Items (1)

Stable solitons and peakons, quantum information entropies, interactions, and excitations for generalized \(\mathcal{PT}\)-symmetric NLS equations

Cites Work

• Controllable behaviors of Peregrine soliton with two peaks in a birefringent fiber with higher-order effects
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• Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
• Stable 2D localized modes in anisotropic media with harmonic and \(\mathcal{PT}\)-symmetric potentials
• Iteration methods for stability spectra of solitary waves
• Fractional white noise functional soliton solutions of a Wick-type stochastic fractional NLSE
• Exact solutions for a Wick-type stochastic reaction Duffing equation
• Stability of Gaussian-type soliton in the cubic-quintic nonlinear media with fourth-order diffraction and \(\mathcal{PT}\)-symmetric potentials
• Spectral transverse instabilities and soliton dynamics in the higher-order multidimensional nonlinear Schrödinger equation
• Nonautonomous bright soliton solutions on continuous wave and cnoidal wave backgrounds in blood vessels
• New Soluble Energy Band Problem
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• 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
• Effect of power-law nonlinearity on ${ \mathcal P }{ \mathcal T }$-symmetric optical system with fourth-order diffraction

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