Stationary Hermite-Gaussian solitons and their control for nonlinear Schrödinger equation with complex potential

DOI10.1016/j.physleta.2021.127738OpenAlexW3207242934MaRDI QIDQ2236529

Sanjana Bhatia, C. Nagaraja Kumar, Harneet Kaur, Amit Goyal

Publication date: 25 October 2021

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2021.127738

zbMATH Keywords

nonlinear Schrödinger equationRiccati parameterHermite-Gaussian solitonsisospectral Hamiltonian approach

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (1)

Stationary hypergeometric solitons and their stability in a Bose-Einstein condensate with \(\mathcal{PT}\)-symmetric potential

Cites Work

• Stationary wave packets in the Kerr nonlinear media with imaginary harmonic potential and linear gain
• Multi-dimensional stable fundamental solitons and excitations in \(\mathcal{PT}\)-symmetric harmonic-Gaussian potentials with unbounded gain-and-loss distributions
• Dynamical behaviors of optical solitons in parity-time (\(\mathcal{PT}\)) symmetric sextic anharmonic double-well potentials
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Factorization method and new potentials with the oscillator spectrum
• Analytical solutions to a class of nonlinear Schrödinger equations with {\cal PT} -like potentials
• Exactly Solvable Wadati Potentials in the PT-Symmetric Gross-Pitaevskii Equation
• A soliton on a vortex filament
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