Ground state solitary waves for nonlocal nonlinear Schrödinger systems

DOI10.1063/1.5129030zbMath1454.78018OpenAlexW3082464342MaRDI QIDQ5141027

Anjie Zuo, Guoqing Zhang, San-Yang Liu

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5129030

zbMATH Keywords

nematic liquid crystalsnonlinear Schrödinger systems, solitary waves

Mathematics Subject Classification ID

Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) NLS equations (nonlinear Schrödinger equations) (35Q55) Composite media; random media in optics and electromagnetic theory (78A48) Waves and radiation in optics and electromagnetic theory (78A40) Soliton solutions (35C08)

Related Items (1)

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Cites Work

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• Dipole soliton formation in a nematic liquid crystal in the nonlocal limit
• The virial theorem and ground state energy estimates of nonlinear Schrödinger equations in \(\mathbb{R}^2\) with square root and saturable nonlinearities in nonlinear optics
• Standing waves for a coupled nonlinear Hartree equations with nonlocal interaction
• On fractional Schrödinger systems of Choquard type
• Solitary waves in nematic liquid crystals
• Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics
• Optical solitons in nematic liquid crystals: model with saturation effects
• Small-amplitude defocusing nematicons
• Methods in Nonlinear Analysis

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