Some results for a system of NLS arising in optical materials with χ3 nonlinear response

DOI10.1002/MMA.9543OpenAlexW4384299421MaRDI QIDQ6152658

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Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9543

zbMATH Keywords

blow-upnonlinear Schrödinger equationsnormalized solutions\(L^2\)-nonlinear response

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Lasers, masers, optical bistability, nonlinear optics (78A60)

Cites Work

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• Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ³ nonlinear response
• Weak concentration and wave operator for a 3D coupled nonlinear Schrödinger system

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