Cai, Jiaxiang; Liang, Hua Compact exponential conservative approaches for the Schrödinger equation in the semiclassical regimes. (English) Zbl 07537257 SIAM J. Sci. Comput. 44, No. 3, B585-B604 (2022). MSC: 65Mxx 65Pxx 81Q05 81Q20 PDF BibTeX XML Cite \textit{J. Cai} and \textit{H. Liang}, SIAM J. Sci. Comput. 44, No. 3, B585--B604 (2022; Zbl 07537257) Full Text: DOI OpenURL
Debnath, Argha; Khan, Ayan; Basu, Saurabh Dropleton-soliton crossover mediated via trap modulation. (English) Zbl 07532639 Phys. Lett., A 439, Article ID 128137, 7 p. (2022). MSC: 81-XX 82-XX PDF BibTeX XML Cite \textit{A. Debnath} et al., Phys. Lett., A 439, Article ID 128137, 7 p. (2022; Zbl 07532639) Full Text: DOI OpenURL
Huynh, Toan T.; Nguyen, Quan M. Fast soliton interactions in cubic-quintic nonlinear media with weak dissipation. (English) Zbl 1481.35114 Appl. Math. Modelling 97, 650-665 (2021). MSC: 35C08 78A60 81Q80 PDF BibTeX XML Cite \textit{T. T. Huynh} and \textit{Q. M. Nguyen}, Appl. Math. Modelling 97, 650--665 (2021; Zbl 1481.35114) Full Text: DOI OpenURL
Paredes, Angel; Olivieri, David N.; Michinel, Humberto From optics to dark matter: a review on nonlinear Schrödinger-Poisson systems. (English) Zbl 1487.83074 Physica D 403, Article ID 132301, 19 p. (2020). MSC: 83C56 81Q05 35Q05 35Q55 83C50 78A60 78A48 83C80 81V73 35Q41 PDF BibTeX XML Cite \textit{A. Paredes} et al., Physica D 403, Article ID 132301, 19 p. (2020; Zbl 1487.83074) Full Text: DOI OpenURL
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 07471979 Int. J. Comput. Math. 95, No. 11, 2143-2161 (2018). MSC: 35Q41 35Q55 65Z05 81-08 81V45 PDF BibTeX XML Cite \textit{K. Gawryluk} et al., Int. J. Comput. Math. 95, No. 11, 2143--2161 (2018; Zbl 07471979) Full Text: DOI arXiv OpenURL
Liao, Feng; Zhang, Luming Optimal error estimates of explicit finite difference schemes for the coupled Gross-Pitaevskii equations. (English) Zbl 07471976 Int. J. Comput. Math. 95, No. 9, 1874-1892 (2018). MSC: 65M06 35Q55 35Q51 PDF BibTeX XML Cite \textit{F. Liao} and \textit{L. Zhang}, Int. J. Comput. Math. 95, No. 9, 1874--1892 (2018; Zbl 07471976) Full Text: DOI OpenURL
Barna, Imre F.; Pocsai, Mihály A.; Mátyás, L. Self-similarity analysis of the nonlinear Schrödinger equation in the Madelung form. (English) Zbl 1406.35344 Adv. Math. Phys. 2018, Article ID 7087295, 5 p. (2018). MSC: 35Q55 35Q31 35C06 35Q41 76Y05 PDF BibTeX XML Cite \textit{I. F. Barna} et al., Adv. Math. Phys. 2018, Article ID 7087295, 5 p. (2018; Zbl 1406.35344) Full Text: DOI arXiv OpenURL
Vinayagam, P. S.; Radha, R.; Bhuvaneswari, S.; Ravisankar, R.; Muruganandam, P. Bright soliton dynamics in spin orbit-Rabi coupled Bose-Einstein condensates. (English) Zbl 07261175 Commun. Nonlinear Sci. Numer. Simul. 50, 68-76 (2017). MSC: 37K40 35Q51 35Q55 PDF BibTeX XML Cite \textit{P. S. Vinayagam} et al., Commun. Nonlinear Sci. Numer. Simul. 50, 68--76 (2017; Zbl 07261175) Full Text: DOI arXiv OpenURL
Chiquillo, Emerson Harmonically trapped attractive and repulsive spin-orbit and Rabi coupled Bose-Einstein condensates. (English) Zbl 1361.81181 J. Phys. A, Math. Theor. 50, No. 10, Article ID 105001, 15 p. (2017). MSC: 81V70 81R05 81V80 82B26 PDF BibTeX XML Cite \textit{E. Chiquillo}, J. Phys. A, Math. Theor. 50, No. 10, Article ID 105001, 15 p. (2017; Zbl 1361.81181) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Ž. Marojević} et al., Comput. Phys. Commun. 202, 216--232 (2016; Zbl 1348.35005) Full Text: DOI arXiv OpenURL
Moxley, Frederick Ira; Byrnes, Tim; Ma, Baoling; Yan, Yun; Dai, Weizhong A G-FDTD scheme for solving multi-dimensional open dissipative Gross-Pitaevskii equations. (English) Zbl 1352.65256 J. Comput. Phys. 282, 303-316 (2015). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{F. I. Moxley} et al., J. Comput. Phys. 282, 303--316 (2015; Zbl 1352.65256) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Kishor Kumar} et al., Comput. Phys. Commun. 195, 117--128 (2015; Zbl 1344.82006) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{X. Antoine} and \textit{R. Duboscq}, Lect. Notes Math. 2146, 49--145 (2015; Zbl 1344.35114) Full Text: DOI HAL OpenURL
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 PDF BibTeX XML Cite \textit{X. Antoine} and \textit{R. Duboscq}, Comput. Phys. Commun. 185, No. 11, 2969--2991 (2014; Zbl 1348.35003) Full Text: DOI OpenURL
Balaž, Antun; Nicolin, Alexandru I. Fragmentation of a Bose-Einstein condensate through periodic modulation of the scattering length. (English) Zbl 1323.81027 Carretero-González, Ricardo (ed.) et al., Localized excitations in nonlinear complex systems. Current state of the art and future perspectives. Contributions of the 2nd conference, LENCOS’12, Sevilla, Spain, July 9–12, 2012. Cham: Springer (ISBN 978-3-319-02056-3/hbk; 978-3-319-02057-0/ebook). Nonlinear Systems and Complexity 7, 119-129 (2014). MSC: 81Q05 81U05 81V70 PDF BibTeX XML Cite \textit{A. Balaž} and \textit{A. I. Nicolin}, Nonlinear Syst. Complex. 7, 119--129 (2014; Zbl 1323.81027) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{W. Bao} et al., J. Comput. Phys. 235, 423--445 (2013; Zbl 1291.35329) Full Text: DOI OpenURL
Vudragović, Dušan; Vidanović, Ivana; Balaž, Antun; Muruganandam, Paulsamy; Adhikari, Sadhan K. C programs for solving the time-dependent Gross-Pitaevskii equation in a fully anisotropic trap. (English) Zbl 1353.35003 Comput. Phys. Commun. 183, No. 9, 2021-2025 (2012). MSC: 35-04 35Q55 35Q82 PDF BibTeX XML Cite \textit{D. Vudragović} et al., Comput. Phys. Commun. 183, No. 9, 2021--2025 (2012; Zbl 1353.35003) Full Text: DOI arXiv OpenURL
Belobo, Didier Belobo; Ben-Bolie, Germain Hubert; Ekogo, Thierry Blanchard; Tiofack, C. G. Latchio; Kofané, Timoléon Crépin Modulational instability of a Bose-Einstein condensate beyond the Fermi pseudopotential with a time-dependent complex potential. (English) Zbl 1260.82053 Int. J. Mod. Phys. B 26, No. 30, Article ID 1250164, 17 p. (2012). MSC: 82C10 82D50 81Q05 82C80 PDF BibTeX XML Cite \textit{D. B. Belobo} et al., Int. J. Mod. Phys. B 26, No. 30, Article ID 1250164, 17 p. (2012; Zbl 1260.82053) Full Text: DOI OpenURL
Malomed, Boris A.; Nascimento, V. A.; Adhikari, Sadhan K. Gap solitons in fermion superfluids. (English) Zbl 1187.82141 Math. Comput. Simul. 80, No. 4, 648-659 (2009). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82D50 37K40 PDF BibTeX XML Cite \textit{B. A. Malomed} et al., Math. Comput. Simul. 80, No. 4, 648--659 (2009; Zbl 1187.82141) Full Text: DOI OpenURL