High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross-Pitaevskii equation in a harmonic potential

DOI10.1016/j.aml.2021.107701zbMath1479.35218OpenAlexW3203055651MaRDI QIDQ2060946

Yun-Jie Xu, Hai-Ping Zhu

Publication date: 13 December 2021

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

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107701

zbMATH Keywords

harmonic potentialpartially nonlocal nonlinearitycoupled Gross-Pitaevskii equationvector high-dimensional soliton

Mathematics Subject Classification ID

Soliton solutions (35C08) Integro-partial differential equations (35R09) Initial value problems for systems of nonlinear higher-order PDEs (35G55)

Cites Work

• Control and management of the combined Peregrine soliton and Akhmediev breathers in \({\mathcal{PT}}\)-symmetric coupled waveguides
• Rogon-like solutions excited in the two-dimensional nonlocal nonlinear Schrödinger equation
• Localized solitons of a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation
• Wick-type stochastic multi-soliton and soliton molecule solutions in the framework of nonlinear Schrödinger equation
• WICK-TYPE STOCHASTIC FRACTIONAL SOLITONS SUPPORTED BY QUADRATIC-CUBIC NONLINEARITY
• Explicit soliton–cnoidal wave interaction solutions for the (2+1)-dimensional negative-order breaking soliton equation

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