Bright and dark wirelike spatiotemporal solitons of a partially nonlocal nonlinear Schrödinger equation

DOI10.1016/J.AML.2018.03.005zbMath1393.35229OpenAlexW2793900425MaRDI QIDQ1642100

Hai-Ping Zhu, Li-Rong Qian

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.03.005

zbMATH Keywords

different diffractionspartially nonlocal nonlinear Schrödinger equationwirelike spatiotemporal solitons

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

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Cites Work

• Remarks on chaotic and fractal patterns based on variable separation solutions of (2+1)-dimensional general KdV equation
• Dark soliton control in inhomogeneous optical fibers
• Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides
• Spatiotemporal Hermite-Gaussian solitons of a (3 + 1)-dimensional partially nonlocal nonlinear Schrödinger equation
• Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation
• Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation
• Quasi-two-dimensional Bose-Einstein condensates with spatially modulated cubic-quintic nonlinearities
• Some discussions on variable separation solutions and the corresponding localized structures of nonlinear models
• Lax integrability and soliton solutions for a nonisospectral integrodifferential system

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