Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ3 nonlinear response-Reference-Cited by-同舟云学术

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Sharp conditions for scattering and blow-up for a system of NLS arising in optical materials with χ3 nonlinear response

Published:2021-06-15 Issue:11 Volume:46 Page:2134-2170
ISSN:0360-5302
Container-title:Communications in Partial Differential Equations
language:en
Short-container-title:Communications in Partial Differential Equations

Author:

Ardila Alex H.¹,Dinh Van Duong²³^ORCID,Forcella Luigi⁴⁵^ORCID

Affiliation:

1. ICEx-UFMG, Universidade Federal de Minas Gerais, Belo Horizonte, Brazil

2. Laboratoire Paul Painlevé UMR 8524, Université de Lille CNRS, Lille, France

3. Department of Mathematics, HCMC University of Pedagogy, Ho Chi Minh, Vietnam

4. Department of Mathematics, Heriot-Watt University, Edinburgh, UK

5. The Maxwell Institute for the Mathematical Sciences, Edinburgh, UK

Publisher

Informa UK Limited

Subject

Applied Mathematics,Analysis

Link

https://www.tandfonline.com/doi/pdf/10.1080/03605302.2021.1925916

Reference36 articles.

1. Modification of solitary waves by third-harmonic generation

2. Bright and dark solitary waves in the presence of third-harmonic generation

3. Oliveira, F., Pastor, A. On a Schrödinger system arising in nonlinear optics. preprint, available at http://arxiv.org/abs/1810.08231.

4. Solitons in quadratic media

Cited by 8 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the stability of solitary waves in the NLS system of the third-harmonic generation;Analysis and Mathematical Physics;2023-12-18

2. Stable standing waves for a Schrödinger system with nonlinearχ3 response;Journal of Mathematical Physics;2023-10-01

3. Some results for a system of NLS arising in optical materials with χ³ nonlinear response;Mathematical Methods in the Applied Sciences;2023-07-13

4. On finite time blow-up for a 3D Davey-Stewartson system;Proceedings of the American Mathematical Society;2022-07-15

5. Dynamics of Solutions to the Gross–Pitaevskii Equation Describing Dipolar Bose–Einstein Condensates;Springer INdAM Series;2022

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