An, Xinliang; Soffer, Avy Fermi’s golden rule and \(H^1\) scattering for nonlinear Klein-Gordon equations with metastable states. (English) Zbl 1431.35145 Discrete Contin. Dyn. Syst. 40, No. 1, 331-373 (2020). MSC: 35Q40 35B34 35B40 35L70 35P25 35C08 PDF BibTeX XML Cite \textit{X. An} and \textit{A. Soffer}, Discrete Contin. Dyn. Syst. 40, No. 1, 331--373 (2020; Zbl 1431.35145) Full Text: DOI arXiv OpenURL
Deng, Qingquan; Soffer, Avy; Yao, Xiaohua Soliton-potential interactions for nonlinear Schrödinger equation in \(\mathbb{R}^3\). (English) Zbl 1428.35500 SIAM J. Math. Anal. 50, No. 5, 5243-5292 (2018). MSC: 35Q55 37K40 35B40 35C08 35P25 PDF BibTeX XML Cite \textit{Q. Deng} et al., SIAM J. Math. Anal. 50, No. 5, 5243--5292 (2018; Zbl 1428.35500) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{X. Zhao}, Physica D 320, 77--88 (2016; Zbl 1364.35341) Full Text: DOI arXiv OpenURL
Krueger, August J.; Soffer, Avy Dynamics of noncommutative solitons. I: Spectral theory and dispersive estimates. (English) Zbl 1345.81067 Ann. Henri Poincaré 17, No. 5, 1181-1208 (2016). Reviewer: Walter Freyn (Augsburg) MSC: 81R60 81Q05 35Q55 35C08 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Ann. Henri Poincaré 17, No. 5, 1181--1208 (2016; Zbl 1345.81067) Full Text: DOI arXiv OpenURL
Krueger, August J.; Soffer, Avy Structure of noncommutative solitons: existence and spectral theory. (English) Zbl 1327.35328 Lett. Math. Phys. 105, No. 10, 1377-1398 (2015). MSC: 35Q40 35Q55 39A05 PDF BibTeX XML Cite \textit{A. J. Krueger} and \textit{A. Soffer}, Lett. Math. Phys. 105, No. 10, 1377--1398 (2015; Zbl 1327.35328) Full Text: DOI arXiv OpenURL
Soffer, A.; Weinstein, M. I. Selection of the ground state for nonlinear Schrödinger equations. (English) Zbl 1111.81313 Rev. Math. Phys. 16, No. 8, 977-1071 (2004). MSC: 81Q10 35Q55 81U05 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{M. I. Weinstein}, Rev. Math. Phys. 16, No. 8, 977--1071 (2004; Zbl 1111.81313) Full Text: DOI arXiv OpenURL