Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas Global well-posedness for the cubic nonlinear Schrödinger equation with initial data lying in \(L^p\)-based Sobolev spaces. (English) Zbl 1476.35233 J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021). Reviewer: Johanna Michor (Wien) MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Math. Phys. 62, No. 7, Article ID 071507, 13 p. (2021; Zbl 1476.35233) Full Text: DOI arXiv
Dodson, Benjamin; Soffer, Avraham; Spencer, Thomas The nonlinear Schrödinger equation on Z and R with bounded initial data: examples and conjectures. (English) Zbl 1446.35181 J. Stat. Phys. 180, No. 1-6, 910-934 (2020). MSC: 35Q55 35Q41 35B65 35C08 35A01 35A02 37K40 65M06 65H10 82B20 82B26 PDFBibTeX XMLCite \textit{B. Dodson} et al., J. Stat. Phys. 180, No. 1--6, 910--934 (2020; Zbl 1446.35181) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei Modulation equations approach for solving vortex and radiation in nonlinear Schrödinger equation. (English) Zbl 1408.65095 IMA J. Appl. Math. 83, No. 3, 496-513 (2018). MSC: 65N35 65M06 35Q55 35Q41 35C08 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, IMA J. Appl. Math. 83, No. 3, 496--513 (2018; Zbl 1408.65095) Full Text: DOI arXiv
Soffer, Avy; Zhao, Xiaofei A modulation equations approach for numerically solving the moving soliton and radiation solutions of NLS. (English) Zbl 1364.35341 Physica D 320, 77-88 (2016). MSC: 35Q55 35C08 65L15 65M70 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv
Soffer, Avy; Stucchio, Chris Stable and accurate outgoing wave filters for anisotropic and nonlocal waves. (English) Zbl 1176.65116 Blackmore, Denis (ed.) et al., Frontiers of applied and computational mathematics. Dedicated to Daljit Singh Ahluwalia on his 75th birthday. Papers based on the presentations at the 5th annual frontiers in applied and computational mathematics conference (FACM ’08), Newark, NJ, USA, 19–21 May 2008. Hackensack, NJ: World Scientific (ISBN 978-981-283-528-4/hbk). 240-247 (2008). MSC: 65M70 65M12 35L05 35L65 35Q61 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{C. Stucchio}, in: Frontiers of applied and computational mathematics. Dedicated to Daljit Singh Ahluwalia on his 75th birthday. Papers based on the presentations at the 5th annual frontiers in applied and computational mathematics conference (FACM '08), Newark, NJ, USA, 19--21 May 2008. Hackensack, NJ: World Scientific. 240--247 (2009; Zbl 1176.65116) Full Text: arXiv
Stucchio, Chris; Soffer, Avy Multiscale resolution of shortwave-longwave interaction. (English) Zbl 1155.65084 Commun. Pure Appl. Math. 62, No. 1, 82-124 (2009). MSC: 65M70 65M15 35Q55 PDFBibTeX XMLCite \textit{C. Stucchio} and \textit{A. Soffer}, Commun. Pure Appl. Math. 62, No. 1, 82--124 (2009; Zbl 1155.65084) Full Text: DOI arXiv
Soffer, A.; Stucchio, C. Open boundaries for the nonlinear Schrödinger equation. (English) Zbl 1122.65094 J. Comput. Phys. 225, No. 2, 1218-1232 (2007). MSC: 65M70 35Q55 65M15 PDFBibTeX XMLCite \textit{A. Soffer} and \textit{C. Stucchio}, J. Comput. Phys. 225, No. 2, 1218--1232 (2007; Zbl 1122.65094) Full Text: DOI arXiv