A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential

DOI10.1016/j.aml.2020.106584zbMath1451.35189OpenAlexW3035377745MaRDI QIDQ2006295

Chaonan Duan, Li Li, Fa-Jun Yu

Publication date: 8 October 2020

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

Full work available at URL: https://doi.org/10.1016/j.aml.2020.106584

zbMATH Keywords

Hirota bilinear methodnonlocal Gross-Pitaevskii equationbright soliton solutiontime-dependent linear potential

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Quantum dynamics and nonequilibrium statistical mechanics (general) (82C10) Soliton solutions (35C08)

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Cites Work

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• A novel hierarchy of two-family-parameter equations: local, nonlocal, and mixed-local-nonlocal vector nonlinear Schrödinger equations
• Soliton molecules and novel smooth positons for the complex modified KdV equation
• Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations
• A novel non-isospectral hierarchy and soliton wave dynamics for a parity-time-symmetric nonlocal vector nonlinear Gross-Pitaevskii equations
• Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation
• Multi-soliton solutions for the three-coupled KdV equations engendered by the Neumann system
• Soliton solution and gauge equivalence for an integrable nonlocal complex modified Korteweg-de Vries equation
• Dynamics of nonautonomous discrete rogue wave solutions for an Ablowitz-Musslimani equation with PT-symmetric potential
• Darboux Transformations and Global Explicit Solutions for Nonlocal Davey–Stewartson I Equation
• Application of Hirota's bilinear formalism to the Toeplitz lattice - some special soliton-like solutions

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