Stable solitons in the 1D and 2D generalized nonlinear Schrödinger equations with the periodic effective mass and \(\mathcal{PT}\)-symmetric potentials
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Publication:1684110
DOI10.1016/j.aop.2017.08.022zbMath1375.35479OpenAlexW2754091180MaRDI QIDQ1684110
Publication date: 5 December 2017
Published in: Annals of Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aop.2017.08.022
stabilityoptical solitons\(\mathcal{PT}\)-symmetric periodic potentialseffective-mass modulationgeneralized linear and nonlinear Schrödinger equations
Cites Work
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- \({\mathcal{PT}}\)-symmetric periodic optical potentials
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- Two dimensional gap solitons in self-defocusing media with PT-symmetric superlattice
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- Nonlinear Waves in Integrable and Nonintegrable Systems
- Must a Hamiltonian be Hermitian?
- Analytic Properties of Bloch Waves and Wannier Functions
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- 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
- On stable solitons and interactions of the generalized Gross-Pitaevskii equation with PT- and non-PT-symmetric potentials
- Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials
- The nonlinear Schrödinger equation with generalized nonlinearities and PT-symmetric potentials: Stable solitons, interactions, and excitations
- Position dependent mass Schrödinger equation and isospectral potentials: Intertwining operator approach
- The Structure of Electronic Excitation Levels in Insulating Crystals
- Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential
- An improved shooting approach for solving the time-independent Schrödinger equation for III/V QW structures
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