Quan M. Nguyen; Toan T. Huynh Spatiotemporal soliton interaction of saturable nonlinear Schrödinger equations in spatial dimensions higher than 1. (English) Zbl 1514.35095 Acta Math. Vietnam. 48, No. 1, 193-208 (2023). MSC: 35C08 35Q55 78A40 PDFBibTeX XMLCite \textit{Quan M. Nguyen} and \textit{Toan T. Huynh}, Acta Math. Vietnam. 48, No. 1, 193--208 (2023; Zbl 1514.35095) Full Text: DOI
Alouini, Brahim Asymptotic dynamics of certain solutions for an extended nonlinear Gross-Pitaevskii equation with critical nonlinear damping in \(\mathbb{R}^3\). (English) Zbl 1504.35463 J. Math. Anal. Appl. 516, No. 2, Article ID 126558, 26 p. (2022); corrigendum ibid. 518, No. 1, Article ID 126754, 1 p. (2023). MSC: 35Q55 35Q40 82C10 35B40 47H40 PDFBibTeX XMLCite \textit{B. Alouini}, J. Math. Anal. Appl. 516, No. 2, Article ID 126558, 26 p. (2022; Zbl 1504.35463) Full Text: DOI
Gaidamour, Jérémie; Tang, Qinglin; Antoine, Xavier BEC2HPC: a HPC spectral solver for nonlinear Schrödinger and rotating Gross-Pitaevskii equations. Stationary states computation. (English) Zbl 07695383 Comput. Phys. Commun. 265, Article ID 108007, 16 p. (2021). MSC: 81-08 35Qxx PDFBibTeX XMLCite \textit{J. Gaidamour} et al., Comput. Phys. Commun. 265, Article ID 108007, 16 p. (2021; Zbl 07695383) Full Text: DOI
Gawryluk, K.; Karpiuk, T.; Gajda, M.; Rzążewski, K.; Brewczyk, M. Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases. (English) Zbl 1499.76149 Int. J. Comput. Math. 95, No. 11, 2143-2161 (2018). MSC: 76Y05 35Q41 35Q55 35Q82 81V45 PDFBibTeX XMLCite \textit{K. Gawryluk} et al., Int. J. Comput. Math. 95, No. 11, 2143--2161 (2018; Zbl 1499.76149) Full Text: DOI arXiv
Young-S., Luis E.; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Lončar, Vladimir; Vudragović, Dušan; Balaž, Antun OpenMP GNU and intel Fortran programs for solving the time-dependent Gross-Pitaevskii equation. (English) Zbl 1411.82010 Comput. Phys. Commun. 220, 503-506 (2017). MSC: 82-04 35Q55 82-08 PDFBibTeX XMLCite \textit{L. E. Young-S.} et al., Comput. Phys. Commun. 220, 503--506 (2017; Zbl 1411.82010) Full Text: DOI arXiv
Marojević, Želimir; Göklü, Ertan; Lämmerzahl, Claus ATUS-PRO: a FEM-based solver for the time-dependent and stationary Gross-Pitaevskii equation. (English) Zbl 1348.35005 Comput. Phys. Commun. 202, 216-232 (2016). MSC: 35-04 35Q55 82-04 65M60 65N30 PDFBibTeX XMLCite \textit{Ž. Marojević} et al., Comput. Phys. Commun. 202, 216--232 (2016; Zbl 1348.35005) Full Text: DOI arXiv
Kishor Kumar, R.; Young-S., Luis E.; Vudragović, Dušan; Balaž, Antun; Muruganandam, Paulsamy; Adhikari, S. K. Fortran and C programs for the time-dependent dipolar Gross-Pitaevskii equation in an anisotropic trap. (English) Zbl 1344.82006 Comput. Phys. Commun. 195, 117-128 (2015). MSC: 82-04 82C80 82-08 35Q55 PDFBibTeX XMLCite \textit{R. Kishor Kumar} et al., Comput. Phys. Commun. 195, 117--128 (2015; Zbl 1344.82006) Full Text: DOI arXiv
Antoine, Xavier; Duboscq, Romain Modeling and computation of Bose-Einstein condensates: stationary states, nucleation, dynamics, stochasticity. (English) Zbl 1344.35114 Besse, Christophe (ed.) et al., Nonlinear optical and atomic systems. At the interface of physics and mathematics. Based on lecture notes given at the 2013 Painlevé-CEMPI-PhLAM thematic semester. Cham: Springer; Lille: Centre Européen pour les Mathématiques, la Physiques et leurs Interactions (CEMPI) (ISBN 978-3-319-19014-3/pbk; 978-3-319-19015-0/ebook). Lecture Notes in Mathematics 2146, 49-145 (2015). Reviewer: Georg Hebermehl (Berlin) MSC: 35Q40 35Q55 82B10 82B26 82-08 82-03 01A60 65M06 65M70 65T50 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{R. Duboscq}, Lect. Notes Math. 2146, 49--145 (2015; Zbl 1344.35114) Full Text: DOI HAL
Luo, Ji Nonlinear Schrödinger equation containing the time-derivative of the probability density: a numerical study. (English) Zbl 1448.81529 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3591-3599 (2014). MSC: 81V80 35Q55 81Q10 81-08 PDFBibTeX XMLCite \textit{J. Luo}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3591--3599 (2014; Zbl 1448.81529) Full Text: DOI arXiv
Calaça, L.; Avelar, A. T.; Bazeia, D.; Cardoso, Wesley B. Modulation of localized solutions for the Schrödinger equation with logarithm nonlinearity. (English) Zbl 1510.35288 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2928-2934 (2014). MSC: 35Q55 35C05 PDFBibTeX XMLCite \textit{L. Calaça} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2928--2934 (2014; Zbl 1510.35288) Full Text: DOI arXiv
Antoine, Xavier; Duboscq, Romain GPELab, a Matlab toolbox to solve Gross-Pitaevskii equations. I: Computation of stationary solutions. (English) Zbl 1348.35003 Comput. Phys. Commun. 185, No. 11, 2969-2991 (2014). MSC: 35-04 82-04 35Q55 82-08 PDFBibTeX XMLCite \textit{X. Antoine} and \textit{R. Duboscq}, Comput. Phys. Commun. 185, No. 11, 2969--2991 (2014; Zbl 1348.35003) Full Text: DOI
Yomba, Emmanuel; Zakeri, Gholam-Ali Solitons in a generalized space- and time-variable coefficients nonlinear Schrödinger equation with higher-order terms. (English) Zbl 1297.35222 Phys. Lett., A 377, No. 42, 2995-3004 (2013). MSC: 35Q55 35B10 35C08 PDFBibTeX XMLCite \textit{E. Yomba} and \textit{G.-A. Zakeri}, Phys. Lett., A 377, No. 42, 2995--3004 (2013; Zbl 1297.35222) Full Text: DOI
Bao, Weizhu; Tang, Qinglin; Xu, Zhiguo Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation. (English) Zbl 1291.35329 J. Comput. Phys. 235, 423-445 (2013). MSC: 35Q55 35C08 65M70 65M12 65M06 PDFBibTeX XMLCite \textit{W. Bao} et al., J. Comput. Phys. 235, 423--445 (2013; Zbl 1291.35329) Full Text: DOI