Solitons supported by competing nonlinearity, higher order dispersion and \(\mathcal{PT}\)-symmetric potential
DOI10.1016/J.PHYSLETA.2020.126245zbMath1437.81221OpenAlexW2999685617WikidataQ126345507 ScholiaQ126345507MaRDI QIDQ2176980
Publication date: 6 May 2020
Published in: Physics Letters. A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physleta.2020.126245
nonlinear Schrödinger equationsolitonthird order dispersion\(\mathcal{PT}\)-symmetric potentialcompeting nonlinearity
Quantum optics (81V80) NLS equations (nonlinear Schrödinger equations) (35Q55) Symmetry breaking in quantum theory (81R40) Dispersion theory, dispersion relations arising in quantum theory (81U30) Soliton solutions (35C08)
Cites Work
- Abundant exact solutions for the higher order non-linear Schrödinger equation with cubic-quintic non-Kerr terms
- Internal modes of envelope solitons
- Localized modes of the (n+1)-dimensional Schrödinger equation with power-law nonlinearities in \(\mathcal{PT}\)-symmetric potentials
- Families of fundamental and vortex solitons under competing cubic-quintic nonlinearity with complex potentials
- Stable NLS solitons in a cubic-quintic medium with a delta-function potential
- 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
- The inverse problem for the Gross–Pitaevskii equation
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