Wang, Haotian; Yang, Hujiang; Meng, Xiankui; Tian, Ye; Liu, Wenjun Dynamics of controllable matter-wave solitons and soliton molecules for a Rabi-coupled Gross-Pitaevskii equation with temporally and spatially modulated coefficients. (English) Zbl 07818651 SIAM J. Appl. Dyn. Syst. 23, No. 1, 748-778 (2024). MSC: 35Q51 35Q55 35Q41 35C08 35B40 37K35 37N20 65P40 82C10 81V73 PDFBibTeX XMLCite \textit{H. Wang} et al., SIAM J. Appl. Dyn. Syst. 23, No. 1, 748--778 (2024; Zbl 07818651) Full Text: DOI
Elhadj, Khelifa Mohammed; Sakkaf, L. Al; Boudjemâa, Abdelâali; Khawaja, U. Al Quantum droplet molecules in Bose-Bose mixtures. (English) Zbl 07802161 Phys. Lett., A 494, Article ID 129274, 10 p. (2024). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{K. M. Elhadj} et al., Phys. Lett., A 494, Article ID 129274, 10 p. (2024; Zbl 07802161) Full Text: DOI
Korneev, N.; Francisco, E.; Vysloukh, V. A. Stability of coherent-solitonic states for Gross-Pitaevskii equation with parabolic potential. (English) Zbl 07802433 Phys. Lett., A 490, Article ID 129201, 5 p. (2023). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{N. Korneev} et al., Phys. Lett., A 490, Article ID 129201, 5 p. (2023; Zbl 07802433) Full Text: DOI
Kengne, Emmanuel Baseband modulational instability and dynamics of rogue waves in coherently coupled Bose-Einstein condensates. (English) Zbl 07749614 Phys. Lett., A 485, Article ID 129096, 15 p. (2023). MSC: 81V73 82B26 70K50 35A18 35Q55 81Q15 81Q93 PDFBibTeX XMLCite \textit{E. Kengne}, Phys. Lett., A 485, Article ID 129096, 15 p. (2023; Zbl 07749614) Full Text: DOI
Henning, Patrick The dependency of spectral gaps on the convergence of the inverse iteration for a nonlinear eigenvector problem. (English) Zbl 1517.65103 Math. Models Methods Appl. Sci. 33, No. 7, 1517-1544 (2023). MSC: 65N25 35Q55 65N12 65N30 81Q05 PDFBibTeX XMLCite \textit{P. Henning}, Math. Models Methods Appl. Sci. 33, No. 7, 1517--1544 (2023; Zbl 1517.65103) Full Text: DOI arXiv
Cai, Jiaxiang; Zhang, Haihui High-order conservative schemes for the nonlinear Schrödinger equation in the semiclassical limit. (English) Zbl 07708922 Appl. Math. Lett. 144, Article ID 108703, 10 p. (2023). MSC: 65Mxx 35Qxx 81Qxx PDFBibTeX XMLCite \textit{J. Cai} and \textit{H. Zhang}, Appl. Math. Lett. 144, Article ID 108703, 10 p. (2023; Zbl 07708922) Full Text: DOI
Kengne, E. Chirped nonlinear waves in the cubic-quintic distributed nonlinear Schrödinger equation with external trap, self-steepening and self-frequency shift. (English) Zbl 1516.81074 Phys. Lett., A 475, Article ID 128836, 16 p. (2023). MSC: 81Q05 35Q55 82D30 35C08 82B44 PDFBibTeX XMLCite \textit{E. Kengne}, Phys. Lett., A 475, Article ID 128836, 16 p. (2023; Zbl 1516.81074) Full Text: DOI
Song, Jin; Dong, Huanhe; Mihalache, Dumitru; Yan, Zhenya Spontaneous symmetry breaking, stability and adiabatic changes of 2D quantum droplets in amended Gross-Pitaevskii equation with multi-well potential. (English) Zbl 1522.81145 Physica D 448, Article ID 133732, 10 p. (2023). MSC: 81R40 70H11 81Q37 57R67 28C20 81V73 35P15 PDFBibTeX XMLCite \textit{J. Song} et al., Physica D 448, Article ID 133732, 10 p. (2023; Zbl 1522.81145) Full Text: DOI
Bhat, Ishfaq Ahmad; Dey, Bishwajyoti Impurity induced modulational instability in Bose-Einstein condensates. (English) Zbl 1524.82052 Phys. Lett., A 461, Article ID 128640, 7 p. (2023). MSC: 82D50 81V73 35C08 35Q55 82C10 82C26 35Q41 65T50 PDFBibTeX XMLCite \textit{I. A. Bhat} and \textit{B. Dey}, Phys. Lett., A 461, Article ID 128640, 7 p. (2023; Zbl 1524.82052) Full Text: DOI arXiv
Rosas-Ortiz, Oscar; Cruz y. Cruz, Sara Superpositions of bright and dark solitons supporting the creation of balanced gain-and-loss optical potentials. (English) Zbl 07780598 Math. Methods Appl. Sci. 45, No. 7, 3381-3392 (2022). MSC: 81Q60 81V80 81Q05 PDFBibTeX XMLCite \textit{O. Rosas-Ortiz} and \textit{S. Cruz y. Cruz}, Math. Methods Appl. Sci. 45, No. 7, 3381--3392 (2022; Zbl 07780598) Full Text: DOI arXiv
Peng, Hao-Hao; Deng, Jian; Lou, Sen-Yue; Wang, Qun High precision solutions to quantized vortices within Gross-Pitaevskii equation. (English) Zbl 1514.35373 Commun. Theor. Phys. 74, No. 9, Article ID 095002, 10 p. (2022). MSC: 35Q40 81V73 41A21 PDFBibTeX XMLCite \textit{H.-H. Peng} et al., Commun. Theor. Phys. 74, No. 9, Article ID 095002, 10 p. (2022; Zbl 1514.35373) Full Text: DOI arXiv
Foresti, Matteo; Ricca, Renzo L. Instability of a quantum vortex by twist perturbation. (English) Zbl 1506.76223 J. Fluid Mech. 949, Paper No. A19, 14 p. (2022). MSC: 76Y05 76E99 81V99 PDFBibTeX XMLCite \textit{M. Foresti} and \textit{R. L. Ricca}, J. Fluid Mech. 949, Paper No. A19, 14 p. (2022; Zbl 1506.76223) Full Text: DOI
Garaud, Julien; Niemi, Antti J. Poincaré index formula and analogy with the Kosterlitz-Thouless transition in a non-rotated cold atom Bose-Einstein condensate. (English) Zbl 07647518 J. High Energy Phys. 2022, No. 9, Paper No. 154, 18 p. (2022). MSC: 81V73 82B10 PDFBibTeX XMLCite \textit{J. Garaud} and \textit{A. J. Niemi}, J. High Energy Phys. 2022, No. 9, Paper No. 154, 18 p. (2022; Zbl 07647518) Full Text: DOI arXiv
Modugno, Michele; Sherman, E. Ya. Collapse inhibition in three-dimensional Bose-Einstein condensates: internal repulsion and particle loss. (English) Zbl 1507.81205 Chaos Solitons Fractals 163, Article ID 112502, 6 p. (2022). MSC: 81V73 81V55 37N20 PDFBibTeX XMLCite \textit{M. Modugno} and \textit{E. Ya. Sherman}, Chaos Solitons Fractals 163, Article ID 112502, 6 p. (2022; Zbl 1507.81205) Full Text: DOI
Zhao, Zi-bin; Chen, Gui-hua; Liu, Bin; Li, Yong-yao Discrete vortex quantum droplets. (English) Zbl 1506.35183 Chaos Solitons Fractals 162, Article ID 112481, 13 p. (2022). MSC: 35Q40 81V80 78A60 PDFBibTeX XMLCite \textit{Z.-b. Zhao} et al., Chaos Solitons Fractals 162, Article ID 112481, 13 p. (2022; Zbl 1506.35183) Full Text: DOI
Phan Thành Nam; Napiórkowski, Marcin; Ricaud, Julien; Triay, Arnaud Optimal rate of condensation for trapped bosons in the Gross-Pitaevskii regime. (English) Zbl 1513.81135 Anal. PDE 15, No. 6, 1585-1616 (2022). MSC: 81V70 81V73 PDFBibTeX XMLCite \textit{Phan Thành Nam} et al., Anal. PDE 15, No. 6, 1585--1616 (2022; Zbl 1513.81135) Full Text: DOI arXiv
Miranda, Bruno M.; dos Santos, Mateus C. P.; Cardoso, Wesley B. Symmetry breaking in Bose-Einstein condensates confined by a funnel potential. (English) Zbl 1515.81245 Phys. Lett., A 452, Article ID 128453, 6 p. (2022). MSC: 81V73 82B26 82D15 81R40 81Q05 34L40 35Q55 PDFBibTeX XMLCite \textit{B. M. Miranda} et al., Phys. Lett., A 452, Article ID 128453, 6 p. (2022; Zbl 1515.81245) Full Text: DOI arXiv
de Laire, André; López-Martínez, Salvador Existence and decay of traveling waves for the nonlocal Gross-Pitaevskii equation. (English) Zbl 1497.35429 Commun. Partial Differ. Equations 47, No. 9, 1732-1794 (2022). MSC: 35Q55 35J20 35C07 37K06 35C08 35A01 37K40 35B45 35R09 82D05 81V73 PDFBibTeX XMLCite \textit{A. de Laire} and \textit{S. López-Martínez}, Commun. Partial Differ. Equations 47, No. 9, 1732--1794 (2022; Zbl 1497.35429) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{J. Cai} and \textit{H. Liang}, SIAM J. Sci. Comput. 44, No. 3, B585--B604 (2022; Zbl 07537257) Full Text: DOI
Mardonov, Sh. N. Collapse of quasi-two-dimensional symmetrized Dresselhaus spin-orbit coupled Bose-Einstein condensate. (English) Zbl 1490.35435 Arab. J. Math. 11, No. 1, 43-47 (2022). MSC: 35Q55 81V45 78A60 PDFBibTeX XMLCite \textit{Sh. N. Mardonov}, Arab. J. Math. 11, No. 1, 43--47 (2022; Zbl 1490.35435) Full Text: DOI
Brennecke, Christian; Schlein, Benjamin; Schraven, Severin Bogoliubov theory for trapped bosons in the Gross-Pitaevskii regime. (English) Zbl 1489.82046 Ann. Henri Poincaré 23, No. 5, 1583-1658 (2022). MSC: 82C10 82C22 81V73 35Q55 PDFBibTeX XMLCite \textit{C. Brennecke} et al., Ann. Henri Poincaré 23, No. 5, 1583--1658 (2022; Zbl 1489.82046) Full Text: DOI arXiv
Zhang, Ziyun Exponential convergence of Sobolev gradient descent for a class of nonlinear eigenproblems. (English) Zbl 1483.35143 Commun. Math. Sci. 20, No. 2, 377-403 (2022). MSC: 35P30 35A35 35J25 35J61 47J10 65K10 65N25 81Q05 PDFBibTeX XMLCite \textit{Z. Zhang}, Commun. Math. Sci. 20, No. 2, 377--403 (2022; Zbl 1483.35143) Full Text: DOI arXiv
Chen, Xuwen; Holmer, Justin Unconditional uniqueness for the energy-critical nonlinear Schrödinger equation on \(\mathbb{T}^4\). (English) Zbl 1483.35201 Forum Math. Pi 10, Paper No. e3, 49 p. (2022). MSC: 35Q55 35A02 81V70 35A23 35B45 81Q05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Holmer}, Forum Math. Pi 10, Paper No. e3, 49 p. (2022; Zbl 1483.35201) Full Text: DOI arXiv
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
Ravisankar, Rajamanickam; Vudragović, Dušan; Muruganandam, Paulsamy; Balaž, Antun; Adhikari, Sadhan K. Spin-1 spin-orbit- and Rabi-coupled Bose-Einstein condensate solver. (English) Zbl 07689587 Comput. Phys. Commun. 259, Article ID 107657, 11 p. (2021). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{R. Ravisankar} et al., Comput. Phys. Commun. 259, Article ID 107657, 11 p. (2021; Zbl 07689587) Full Text: DOI arXiv
Zuccher, Simone; Caliari, Marco Accurate numerical determination of a self-preserving quantum vortex ring. (English) Zbl 1519.81273 J. Phys. A, Math. Theor. 54, No. 1, Article ID 015301, 17 p. (2021). MSC: 81Q80 76Y05 PDFBibTeX XMLCite \textit{S. Zuccher} and \textit{M. Caliari}, J. Phys. A, Math. Theor. 54, No. 1, Article ID 015301, 17 p. (2021; Zbl 1519.81273) Full Text: DOI
Zhao, Fei-yan; Yan, Zi-teng; Cai, Xiao-yan; Li, Chao-long; Chen, Gui-lian; He, He-xiang; Liu, Bin; Li, Yong-yao Discrete quantum droplets in one-dimensional optical lattices. (English) Zbl 1511.81058 Chaos Solitons Fractals 152, Article ID 111313, 9 p. (2021). MSC: 81Q35 81V80 82B41 82B35 70S15 PDFBibTeX XMLCite \textit{F.-y. Zhao} et al., Chaos Solitons Fractals 152, Article ID 111313, 9 p. (2021; Zbl 1511.81058) Full Text: DOI
Bogoliubov, Nicolai jun.; Rasulova, Mukhayo; Akramov, Tohir Generalization of the Gross-Pitaevskii equation for multi-particle cases. (English) Zbl 1493.81008 Int. J. Mod. Phys. B 35, No. 30, Article ID 2150311, 13 p. (2021). MSC: 81V72 82B40 46F10 37K10 PDFBibTeX XMLCite \textit{N. Bogoliubov jun.} et al., Int. J. Mod. Phys. B 35, No. 30, Article ID 2150311, 13 p. (2021; Zbl 1493.81008) Full Text: DOI
Li, Xiang-Gui; Li, Shu-Cun High-order numerical methods with mass and energy conservation for spin-orbit-coupled Bose-Einstein condensates. (English) Zbl 1480.65217 Int. J. Comput. Math. 98, No. 4, 738-757 (2021). MSC: 65M06 35L05 81-08 PDFBibTeX XMLCite \textit{X.-G. Li} and \textit{S.-C. Li}, Int. J. Comput. Math. 98, No. 4, 738--757 (2021; Zbl 1480.65217) Full Text: DOI
Henning, Patrick; Niklasson, Anders M. N. Shadow Lagrangian dynamics for superfluidity. (English) Zbl 1476.35239 Kinet. Relat. Models 14, No. 2, 303-321 (2021). MSC: 35Q55 65N30 81Q05 65N12 65Y20 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. M. N. Niklasson}, Kinet. Relat. Models 14, No. 2, 303--321 (2021; Zbl 1476.35239) Full Text: DOI arXiv
Lukin, I. V.; Sotnikov, A. G.; Slyusarenko, Yu. V. Aspects of Bose-Einstein condensation in a charged boson system over the dielectric surface. (English) Zbl 07412705 Phys. Lett., A 417, Article ID 127695, 9 p. (2021). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{I. V. Lukin} et al., Phys. Lett., A 417, Article ID 127695, 9 p. (2021; Zbl 07412705) Full Text: DOI arXiv
Li, Yongsheng; Yao, Fangyan Derivation of the nonlinear Schrödinger equation with a general nonlinearity and Gross-Pitaevskii hierarchy in one and two dimensions. (English) Zbl 1462.35360 J. Math. Phys. 62, No. 2, Article ID 021505, 22 p. (2021). MSC: 35Q55 37K10 81V70 PDFBibTeX XMLCite \textit{Y. Li} and \textit{F. Yao}, J. Math. Phys. 62, No. 2, Article ID 021505, 22 p. (2021; Zbl 1462.35360) Full Text: DOI
Shen, Shunlin The rigorous derivation of the \(\mathbb{T}^2\) focusing cubic NLS from 3D. (English) Zbl 1459.82154 J. Funct. Anal. 280, No. 8, Article ID 108934, 73 p. (2021). MSC: 82C10 81V73 81V70 35Q55 PDFBibTeX XMLCite \textit{S. Shen}, J. Funct. Anal. 280, No. 8, Article ID 108934, 73 p. (2021; Zbl 1459.82154) Full Text: DOI arXiv
van Gorder, Robert A. Perturbation theory for Bose-Einstein condensates on bounded space domains. (English) Zbl 1472.81098 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2243, Article ID 20200674, 28 p. (2020). MSC: 81Q15 81Q80 PDFBibTeX XMLCite \textit{R. A. van Gorder}, Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2243, Article ID 20200674, 28 p. (2020; Zbl 1472.81098) Full Text: DOI
Liu, Shimin; Hua, Wu; Zhang, Da-Jun New dynamics of the classical and nonlocal Gross-Pitaevskii equation with a parabolic potential. (English) Zbl 1527.35323 Rep. Math. Phys. 86, No. 3, 271-292 (2020). MSC: 35Q40 81Q80 PDFBibTeX XMLCite \textit{S. Liu} et al., Rep. Math. Phys. 86, No. 3, 271--292 (2020; Zbl 1527.35323) Full Text: DOI arXiv
Chen, Junbo; Zeng, Jianhua One-dimensional localized modes of spin-orbit-coupled Bose-Einstein condensates with spatially periodic modulated atom-atom interactions: nonlinear lattices. (English) Zbl 1453.82042 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105217, 10 p. (2020). MSC: 82C20 82C10 82C22 35C08 35Q55 35B20 35B35 81V70 81V45 78A60 PDFBibTeX XMLCite \textit{J. Chen} and \textit{J. Zeng}, Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105217, 10 p. (2020; Zbl 1453.82042) Full Text: DOI
Li, Li; Yu, Fajun; Duan, Chaonan A generalized nonlocal Gross-Pitaevskii (NGP) equation with an arbitrary time-dependent linear potential. (English) Zbl 1451.35189 Appl. Math. Lett. 110, Article ID 106584, 8 p. (2020). MSC: 35Q55 81Q05 35C08 82C10 PDFBibTeX XMLCite \textit{L. Li} et al., Appl. Math. Lett. 110, Article ID 106584, 8 p. (2020; Zbl 1451.35189) Full Text: DOI
Wu, Xiao-Yu; Tian, Bo; Qu, Qi-Xing; Yuan, Yu-Qiang; Du, Xia-Xia Rogue waves for a \((2+1)\)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate. (English) Zbl 1443.81040 Comput. Math. Appl. 79, No. 4, 1023-1030 (2020). MSC: 81Q80 35Q55 35Q82 78A60 PDFBibTeX XMLCite \textit{X.-Y. Wu} et al., Comput. Math. Appl. 79, No. 4, 1023--1030 (2020; Zbl 1443.81040) Full Text: DOI
Kuznetsov, E. A.; Kagan, M. Yu. Semiclassical expansion of quantum gases into a vacuum. (English. Russian original) Zbl 1446.82074 Theor. Math. Phys. 202, No. 3, 399-411 (2020); translation from Teor. Mat. Fiz. 202, No. 3, 458-473 (2020). MSC: 82D05 81Q20 35Q55 35C06 PDFBibTeX XMLCite \textit{E. A. Kuznetsov} and \textit{M. Yu. Kagan}, Theor. Math. Phys. 202, No. 3, 399--411 (2020; Zbl 1446.82074); translation from Teor. Mat. Fiz. 202, No. 3, 458--473 (2020) Full Text: DOI
Bossmann, Lea Derivation of the 2d Gross-Pitaevskii equation for strongly confined 3d bosons. (English) Zbl 1451.81223 Arch. Ration. Mech. Anal. 238, No. 2, 541-606 (2020). Reviewer: Eric Stachura (Marietta) MSC: 81Q05 81V73 35Q40 35Q51 35Q55 PDFBibTeX XMLCite \textit{L. Bossmann}, Arch. Ration. Mech. Anal. 238, No. 2, 541--606 (2020; Zbl 1451.81223) Full Text: DOI arXiv
Henning, Patrick; Peterseim, Daniel Sobolev gradient flow for the Gross-Pitaevskii eigenvalue problem: global convergence and computational efficiency. (English) Zbl 1512.35538 SIAM J. Numer. Anal. 58, No. 3, 1744-1772 (2020). MSC: 35Q55 65N12 65N25 65N30 81Q05 35P30 82B10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{D. Peterseim}, SIAM J. Numer. Anal. 58, No. 3, 1744--1772 (2020; Zbl 1512.35538) Full Text: DOI arXiv
Hua, Wei; Liu, Shi Xing; Zhang, Teng Interferences and solitons in the Bose-Einstein condensates with two- and three-body interactions. (English) Zbl 1433.81172 J. Math. Chem. 58, No. 2, 393-406 (2020). MSC: 81V73 81Q10 82B26 35C08 35P30 PDFBibTeX XMLCite \textit{W. Hua} et al., J. Math. Chem. 58, No. 2, 393--406 (2020; Zbl 1433.81172) Full Text: DOI
Sacchetti, Andrea Derivation of the tight-binding approximation for time-dependent nonlinear Schrödinger equations. (English) Zbl 1435.35327 Ann. Henri Poincaré 21, No. 2, 627-648 (2020). MSC: 35Q41 35Q55 81Q15 81T25 82B10 PDFBibTeX XMLCite \textit{A. Sacchetti}, Ann. Henri Poincaré 21, No. 2, 627--648 (2020; Zbl 1435.35327) Full Text: DOI arXiv
Mennemann, J.-F.; Langen, T.; Exl, L.; Mauser, N. J. Optimal control of the self-bound dipolar droplet formation process. (English) Zbl 07674843 Comput. Phys. Commun. 244, 205-216 (2019). MSC: 49-XX 81-XX PDFBibTeX XMLCite \textit{J. F. Mennemann} et al., Comput. Phys. Commun. 244, 205--216 (2019; Zbl 07674843) Full Text: DOI arXiv
Sørensen, J. J.; Jensen, J. H. M.; Heinzel, T.; Sherson, J. F. QEngine: a C++ library for quantum optimal control of ultracold atoms. (English) Zbl 07674822 Comput. Phys. Commun. 243, 135-150 (2019). MSC: 81-XX 82-XX PDFBibTeX XMLCite \textit{J. J. Sørensen} et al., Comput. Phys. Commun. 243, 135--150 (2019; Zbl 07674822) Full Text: DOI arXiv
Kishor Kumar, Ramavarmaraja; Lončar, Vladimir; Muruganandam, Paulsamy; Adhikari, Sadhan K.; Balaž, Antun C and Fortran OpenMP programs for rotating Bose-Einstein condensates. (English) Zbl 07674763 Comput. Phys. Commun. 240, 74-82 (2019). MSC: 82-XX 81-XX PDFBibTeX XMLCite \textit{R. Kishor Kumar} et al., Comput. Phys. Commun. 240, 74--82 (2019; Zbl 07674763) Full Text: DOI arXiv
Sakaguchi, Hidetsugu Soliton lattices in the Gross-Pitaevskii equation with nonlocal and repulsive coupling. (English) Zbl 1472.81332 Phys. Lett., A 383, No. 11, 1132-1137 (2019). MSC: 81V73 35C08 82B26 81V60 35B36 82D20 PDFBibTeX XMLCite \textit{H. Sakaguchi}, Phys. Lett., A 383, No. 11, 1132--1137 (2019; Zbl 1472.81332) Full Text: DOI arXiv
Vahala, Linda; Vahala, George; Soe, Min; Ram, Abhay; Yepez, Jeffrey Unitary qubit lattice algorithm for three-dimensional vortex solitons in hyperbolic self-defocusing media. (English) Zbl 1512.35552 Commun. Nonlinear Sci. Numer. Simul. 75, 152-159 (2019). MSC: 35Q55 78A60 81V80 81P40 81P68 82C10 35C08 35B40 37K60 65Y05 PDFBibTeX XMLCite \textit{L. Vahala} et al., Commun. Nonlinear Sci. Numer. Simul. 75, 152--159 (2019; Zbl 1512.35552) Full Text: DOI
Zhang, Rongpei; Han, Zijian; Shao, Yongyun; Wang, Zhen; Wang, Yu The numerical study for the ground and excited states of fractional Bose-Einstein condensates. (English) Zbl 1442.82008 Comput. Math. Appl. 78, No. 5, 1548-1561 (2019). MSC: 82C10 35Q82 35R11 81Q05 PDFBibTeX XMLCite \textit{R. Zhang} et al., Comput. Math. Appl. 78, No. 5, 1548--1561 (2019; Zbl 1442.82008) Full Text: DOI
Henning, Patrick; Wärnegård, Johan Numerical comparison of mass-conservative schemes for the Gross-Pitaevskii equation. (English) Zbl 1434.65183 Kinet. Relat. Models 12, No. 6, 1247-1271 (2019). MSC: 65M60 35Q55 65Y20 65P10 81Q05 35Q41 65M20 35B40 35C08 82D50 82D55 PDFBibTeX XMLCite \textit{P. Henning} and \textit{J. Wärnegård}, Kinet. Relat. Models 12, No. 6, 1247--1271 (2019; Zbl 1434.65183) Full Text: DOI arXiv
Matos, Tonatiuh; Avilez, Ana; Bernal, Tula; Chavanis, Pierre-Henri Energy balance of a Bose gas in a curved space-time. (English) Zbl 1437.83017 Gen. Relativ. Gravitation 51, No. 12, Paper No. 159, 23 p. (2019). MSC: 83C05 83B05 83D05 85A15 81Q05 83C56 83C47 PDFBibTeX XMLCite \textit{T. Matos} et al., Gen. Relativ. Gravitation 51, No. 12, Paper No. 159, 23 p. (2019; Zbl 1437.83017) Full Text: DOI arXiv
Sacchetti, Andrea Nonlinear models and bifurcation trees in quantum mechanics: a review of recent results. (English) Zbl 1431.35180 Ric. Mat. 68, No. 2, 883-898 (2019). MSC: 35Q55 81T25 81Q05 35B32 82C10 PDFBibTeX XMLCite \textit{A. Sacchetti}, Ric. Mat. 68, No. 2, 883--898 (2019; Zbl 1431.35180) Full Text: DOI
Prestipino, Santi; Sergi, Alessandro; Bruno, Ezio Clusterization of weakly-interacting bosons in one dimension: an analytic study at zero temperature. (English) Zbl 1422.82029 J. Phys. A, Math. Theor. 52, No. 1, Article ID 015002, 20 p. (2019). MSC: 82D20 82D25 82B26 82B30 82D50 81V70 PDFBibTeX XMLCite \textit{S. Prestipino} et al., J. Phys. A, Math. Theor. 52, No. 1, Article ID 015002, 20 p. (2019; Zbl 1422.82029) Full Text: DOI arXiv
Chen, Xuwen; Holmer, Justin The derivation of the \(\mathbb{T}^{3}\) energy-critical NLS from quantum many-body dynamics. (English) Zbl 1422.35148 Invent. Math. 217, No. 2, 433-547 (2019). MSC: 35Q55 35A02 81V70 35A23 35B45 81Q05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Holmer}, Invent. Math. 217, No. 2, 433--547 (2019; Zbl 1422.35148) Full Text: DOI arXiv
Brennecke, Christian; Phan Thành Nam; Napiórkowski, Marcin; Schlein, Benjamin Fluctuations of \(N\)-particle quantum dynamics around the nonlinear Schrödinger equation. (English) Zbl 1419.81042 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201-1235 (2019). MSC: 81V70 35Q55 82C22 82C26 81R15 37K10 35Q53 PDFBibTeX XMLCite \textit{C. Brennecke} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 36, No. 5, 1201--1235 (2019; Zbl 1419.81042) Full Text: DOI arXiv
Bao, Weizhu; Cai, Yongyong; Ruan, Xinran Ground states of Bose-Einstein condensates with higher order interaction. (English) Zbl 1415.82007 Physica D 386-387, 38-48 (2019). MSC: 82C10 81Q05 35B30 PDFBibTeX XMLCite \textit{W. Bao} et al., Physica D 386--387, 38--48 (2019; Zbl 1415.82007) Full Text: DOI arXiv
Brennecke, Christian; Schlein, Benjamin Gross-Pitaevskii dynamics for Bose-Einstein condensates. (English) Zbl 1414.35184 Anal. PDE 12, No. 6, 1513-1596 (2019). MSC: 35Q40 81V70 PDFBibTeX XMLCite \textit{C. Brennecke} and \textit{B. Schlein}, Anal. PDE 12, No. 6, 1513--1596 (2019; Zbl 1414.35184) Full Text: DOI arXiv
Mendelson, Dana; Nahmod, Andrea R.; Pavlović, Nataša; Staffilani, Gigliola An infinite sequence of conserved quantities for the cubic Gross-Pitaevskii hierarchy on \(\mathbb{R}\). (English) Zbl 1416.35243 Trans. Am. Math. Soc. 371, No. 7, 5179-5202 (2019). MSC: 35Q55 81V70 PDFBibTeX XMLCite \textit{D. Mendelson} et al., Trans. Am. Math. Soc. 371, No. 7, 5179--5202 (2019; Zbl 1416.35243) Full Text: DOI arXiv
Chen, Thomas; Soffer, Avy Mean field dynamics of a quantum tracer particle interacting with a boson gas. (English) Zbl 1414.82026 J. Funct. Anal. 276, No. 3, 971-1006 (2019). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 82C40 81V70 35Q40 82D05 PDFBibTeX XMLCite \textit{T. Chen} and \textit{A. Soffer}, J. Funct. Anal. 276, No. 3, 971--1006 (2019; Zbl 1414.82026) Full Text: DOI arXiv
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
Faccioli, Marco; Salasnich, Luca Spontaneous symmetry breaking and Higgs mode: comparing Gross-Pitaevskii and nonlinear Klein-Gordon equations. (English) Zbl 1423.82040 Symmetry 10, No. 4, Paper No. 80, 15 p. (2018). MSC: 82D50 35Q55 81R40 PDFBibTeX XMLCite \textit{M. Faccioli} and \textit{L. Salasnich}, Symmetry 10, No. 4, Paper No. 80, 15 p. (2018; Zbl 1423.82040) Full Text: DOI arXiv
Ruan, Xinran A normalized gradient flow method with attractive-repulsive splitting for computing ground states of Bose-Einstein condensates with higher-order interaction. (English) Zbl 1415.65198 J. Comput. Phys. 367, 374-390 (2018). MSC: 65M06 65M70 81V70 35Q40 PDFBibTeX XMLCite \textit{X. Ruan}, J. Comput. Phys. 367, 374--390 (2018; Zbl 1415.65198) Full Text: DOI arXiv
Rivers, Ray J.; Steer, D. A.; Lin, Chi-Yong; Lee, Da-Shin; Weir, D. J. When are two fermions a simple boson? New Gross-Pitaevskii actions for cold Fermi condensates. (English) Zbl 1398.81090 Ann. Phys. 396, 495-516 (2018). MSC: 81Q05 82C10 PDFBibTeX XMLCite \textit{R. J. Rivers} et al., Ann. Phys. 396, 495--516 (2018; Zbl 1398.81090) Full Text: DOI arXiv
Liu, Jie; Li, Sheng-Chang; Fu, Li-Bin; Ye, Di-Fa Nonlinear adiabatic evolution of quantum systems. Geometric phase and virtual magnetic monopole. (English) Zbl 1405.81009 Singapore: Springer (ISBN 978-981-13-2642-4/hbk; 978-981-13-2643-1/ebook). ix, 190 p. (2018). Reviewer: Alex B. Gaina (Chisinau) MSC: 81-02 81Q70 81V10 00A79 PDFBibTeX XMLCite \textit{J. Liu} et al., Nonlinear adiabatic evolution of quantum systems. Geometric phase and virtual magnetic monopole. Singapore: Springer (2018; Zbl 1405.81009) Full Text: DOI
Gessner, Manuel; Buchleitner, Andreas On the reduced dynamics of a subset of interacting bosonic particles. (English) Zbl 1384.82007 Ann. Phys. 390, 192-213 (2018); corrigendum ibid. 445, Article ID 168635, 1 p. (2022). MSC: 82C10 82C22 81S22 PDFBibTeX XMLCite \textit{M. Gessner} and \textit{A. Buchleitner}, Ann. Phys. 390, 192--213 (2018; Zbl 1384.82007) Full Text: DOI arXiv
Alfaro, Jorge; Espriu, Domènec; Gabbanelli, Luciano Bose-Einstein graviton condensate in a Schwarzschild black hole. (English) Zbl 1382.83049 Classical Quantum Gravity 35, No. 1, Article ID 015001, 17 p. (2018). MSC: 83C57 81V17 83C47 83C55 PDFBibTeX XMLCite \textit{J. Alfaro} et al., Classical Quantum Gravity 35, No. 1, Article ID 015001, 17 p. (2018; Zbl 1382.83049) Full Text: DOI arXiv Link
Michelangeli, Alessandro; Olgiati, Alessandro Gross-Pitaevskii non-linear dynamics for pseudo-spinor condensates. (English) Zbl 1420.35080 J. Nonlinear Math. Phys. 24, No. 3, 426-464 (2017). MSC: 35J10 35Q40 35Q55 35Q70 81-05 81U05 81V70 82C10 PDFBibTeX XMLCite \textit{A. Michelangeli} and \textit{A. Olgiati}, J. Nonlinear Math. Phys. 24, No. 3, 426--464 (2017; Zbl 1420.35080) Full Text: DOI arXiv
Antoine, Xavier; Besse, Christophe; Duboscq, Romain; Rispoli, Vittorio Acceleration of the imaginary time method for spectrally computing the stationary states of Gross-Pitaevskii equations. (English) Zbl 1411.81026 Comput. Phys. Commun. 219, 70-78 (2017). MSC: 81-08 35Q55 65M70 PDFBibTeX XMLCite \textit{X. Antoine} et al., Comput. Phys. Commun. 219, 70--78 (2017; Zbl 1411.81026) Full Text: DOI
Escorcia, J.; Suazo, E. Blow-up results and soliton solutions for a generalized variable coefficient nonlinear Schrödinger equation. (English) Zbl 1411.81083 Appl. Math. Comput. 301, 155-176 (2017). MSC: 81Q05 35B44 35C05 35Q55 PDFBibTeX XMLCite \textit{J. Escorcia} and \textit{E. Suazo}, Appl. Math. Comput. 301, 155--176 (2017; Zbl 1411.81083) Full Text: DOI arXiv
Kosheleva, Olga; Kreinovich, Vladik Derivation of Gross-Pitaevskii version of nonlinear Schrödinger equation from scale invariance. (Derivation of Gross-Pitaevskii version of nonlinear Schroedinger equation from scale invariance.) (English) Zbl 1413.81019 Mat. Strukt. Model. 43, 35-42 (2017). MSC: 81Q05 35Q55 35Q40 PDFBibTeX XMLCite \textit{O. Kosheleva} and \textit{V. Kreinovich}, Mat. Strukt. Model. 43, 35--42 (2017; Zbl 1413.81019) Full Text: DOI
Schlein, Benjamin Derivation of effective evolution equations from many-body quantum mechanics. (English) Zbl 1393.82010 Riv. Mat. Univ. Parma (N.S.) 8, No. 1, 83-108 (2017). MSC: 82C10 35Q40 35Q55 81V70 PDFBibTeX XMLCite \textit{B. Schlein}, Riv. Mat. Univ. Parma (N.S.) 8, No. 1, 83--108 (2017; Zbl 1393.82010)
Antoine, Xavier; Levitt, Antoine; Tang, Qinglin Efficient spectral computation of the stationary states of rotating Bose-Einstein condensates by preconditioned nonlinear conjugate gradient methods. (English) Zbl 1380.81496 J. Comput. Phys. 343, 92-109 (2017). MSC: 81V70 49M25 PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Comput. Phys. 343, 92--109 (2017; Zbl 1380.81496) Full Text: DOI arXiv
Carretero-González, R.; Cuevas-Maraver, J.; Frantzeskakis, D. J.; Horikis, T. P.; Kevrekidis, P. G.; Rodrigues, A. S. A Korteweg-de Vries description of dark solitons in polariton superfluids. (English) Zbl 1375.35443 Phys. Lett., A 381, No. 45, 3805-3811 (2017). MSC: 35Q53 82D50 82D37 81S22 35C08 PDFBibTeX XMLCite \textit{R. Carretero-González} et al., Phys. Lett., A 381, No. 45, 3805--3811 (2017; Zbl 1375.35443) Full Text: DOI arXiv
Olgiati, Alessandro Remarks on the derivation of Gross-Pitaevskii equation with magnetic Laplacian. (English) Zbl 1374.81104 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 257-266 (2017). MSC: 81V70 35Q55 35J05 82C26 81S05 PDFBibTeX XMLCite \textit{A. Olgiati}, Springer INdAM Ser. 18, 257--266 (2017; Zbl 1374.81104) Full Text: DOI arXiv
Cenatiempo, Serena Analysis of fluctuations around non-linear effective dynamics. (English) Zbl 1374.81043 Michelangeli, Alessandro (ed.) et al., Advances in quantum mechanics. Contemporary trends and open problems. Cham: Springer (ISBN 978-3-319-58903-9/hbk; 978-3-319-58904-6/ebook). Springer INdAM Series 18, 99-119 (2017). MSC: 81Q05 35Q55 81V70 81S05 PDFBibTeX XMLCite \textit{S. Cenatiempo}, Springer INdAM Ser. 18, 99--119 (2017; Zbl 1374.81043) Full Text: DOI arXiv
Borrelli, William Stationary solutions for the 2D critical Dirac equation with Kerr nonlinearity. (English) Zbl 1378.35257 J. Differ. Equations 263, No. 11, 7941-7964 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q41 78A60 81Q05 PDFBibTeX XMLCite \textit{W. Borrelli}, J. Differ. Equations 263, No. 11, 7941--7964 (2017; Zbl 1378.35257) Full Text: DOI arXiv
Besse, C.; Dujardin, G.; Lacroix-Violet, I. High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates. (English) Zbl 1371.35235 SIAM J. Numer. Anal. 55, No. 3, 1387-1411 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q41 81Q05 65M70 82D50 65L06 PDFBibTeX XMLCite \textit{C. Besse} et al., SIAM J. Numer. Anal. 55, No. 3, 1387--1411 (2017; Zbl 1371.35235) Full Text: DOI arXiv
Chen, Xuwen; Holmer, Justin Focusing quantum many-body dynamics. II: The rigorous derivation of the 1D focusing cubic nonlinear Schrödinger equation from 3D. (English) Zbl 1368.35245 Anal. PDE 10, No. 3, 589-633 (2017). Reviewer: Alessandro Selvitella (Hamilton) MSC: 35Q55 35A02 81V70 35A23 35B45 81Q05 PDFBibTeX XMLCite \textit{X. Chen} and \textit{J. Holmer}, Anal. PDE 10, No. 3, 589--633 (2017; Zbl 1368.35245) Full Text: DOI arXiv
Gupta, Patrick Das; Thareja, Eklavya Supermassive black holes from collapsing dark matter Bose-Einstein condensates. (English) Zbl 1358.83043 Classical Quantum Gravity 34, No. 3, Article ID 035006, 15 p. (2017). MSC: 83C57 83C75 85A15 81T20 PDFBibTeX XMLCite \textit{P. D. Gupta} and \textit{E. Thareja}, Classical Quantum Gravity 34, No. 3, Article ID 035006, 15 p. (2017; Zbl 1358.83043) Full Text: DOI arXiv
Sun, Jiguang; Zhou, Aihui Finite element methods for eigenvalue problems. (English) Zbl 1351.65085 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-5464-8/hbk; 978-1-4822-5465-5/ebook). xxiii, 343 p. (2017). Reviewer: Rolf Dieter Grigorieff (Berlin) MSC: 65N25 65N30 65-02 65F15 74S05 78M10 81-08 35P15 35J05 35Q61 35J30 PDFBibTeX XMLCite \textit{J. Sun} and \textit{A. Zhou}, Finite element methods for eigenvalue problems. Boca Raton, FL: CRC Press (2017; Zbl 1351.65085) Full Text: DOI
Kizin, P. P.; Zezyulin, D. A.; Alfimov, G. L. Oscillatory instabilities of gap solitons in a repulsive Bose-Einstein condensate. (English) Zbl 1376.35091 Physica D 337, 58-66 (2016). MSC: 35Q40 35B35 81V70 PDFBibTeX XMLCite \textit{P. P. Kizin} et al., Physica D 337, 58--66 (2016; Zbl 1376.35091) Full Text: DOI arXiv
Tzou, J. C.; Kevrekidis, P. G.; Kolokolnikov, T.; Carretero-González, R. Weakly nonlinear analysis of vortex formation in a dissipative variant of the Gross-Pitaevskii equation. (English) Zbl 1342.35355 SIAM J. Appl. Dyn. Syst. 15, No. 2, 904-922 (2016). MSC: 35Q55 76M23 76A25 81R40 82B10 PDFBibTeX XMLCite \textit{J. C. Tzou} et al., SIAM J. Appl. Dyn. Syst. 15, No. 2, 904--922 (2016; Zbl 1342.35355) Full Text: DOI arXiv
Liao, Cuicui; Shen, Wanqiang; Ding, Xiaohua Multi-symplectic variational integrators for the Gross-Pitaevskii equations in BEC. (English) Zbl 1381.35163 Appl. Math. Lett. 60, 120-125 (2016). MSC: 35Q55 37M15 65P10 81Q80 PDFBibTeX XMLCite \textit{C. Liao} et al., Appl. Math. Lett. 60, 120--125 (2016; Zbl 1381.35163) Full Text: DOI
Takahashi, Daisuke A.; Nitta, Muneto Counting rule of Nambu-Goldstone modes for internal and spacetime symmetries: Bogoliubov theory approach. (English) Zbl 1377.81068 Ann. Phys. 354, 101-156 (2015). MSC: 81R40 35Q40 81V70 70S10 PDFBibTeX XMLCite \textit{D. A. Takahashi} and \textit{M. Nitta}, Ann. Phys. 354, 101--156 (2015; Zbl 1377.81068) Full Text: DOI arXiv
Sabari, S.; Porsezian, K.; Murali, R. Modulational and oscillatory instabilities of Bose-Einstein condensates with two- and three-body interactions trapped in an optical lattice potential. (English) Zbl 1366.81315 Phys. Lett., A 379, No. 4, 299-307 (2015). MSC: 81V70 82C22 81Q05 35Q55 PDFBibTeX XMLCite \textit{S. Sabari} et al., Phys. Lett., A 379, No. 4, 299--307 (2015; Zbl 1366.81315) Full Text: DOI
Benedikter, N. Deriving the Gross-Pitaevskii equation. (English) Zbl 1343.82047 Exner, Pavel (ed.) et al., Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10–13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific (ISBN 978-981-4618-13-7/hbk; 978-981-4618-15-1/ebook). 207-212 (2015). MSC: 82D05 82B26 35Q55 81V70 PDFBibTeX XMLCite \textit{N. Benedikter}, in: Proceedings of the QMath12 conference on mathematical results in quantum mechanics, Berlin, Germany, September 10--13, 2013. With DVD-ROM. Hackensack, NJ: World Scientific. 207--212 (2015; Zbl 1343.82047) Full Text: DOI arXiv
Pal, Sukla; Bhattacharjee, Jayanta K. Wave packet dynamics for Gross-Pitaevskii equation in one dimension: dependence on initial conditions. (English) Zbl 1337.82012 Int. J. Mod. Phys. B 29, No. 30, Article ID 1550216, 26 p. (2015). MSC: 82C10 35Q55 35Q82 81R30 PDFBibTeX XMLCite \textit{S. Pal} and \textit{J. K. Bhattacharjee}, Int. J. Mod. Phys. B 29, No. 30, Article ID 1550216, 26 p. (2015; Zbl 1337.82012) Full Text: DOI
Kulagin, A. E.; Trifonov, A. Yu.; Shapovalov, A. V. Quasiparticles described by the Gross-Pitaevskii equation in the semiclassical approximation. (English. Russian original) Zbl 1331.35321 Russ. Phys. J. 58, No. 5, 606-615 (2015); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 5, 20-28 (2015). MSC: 35Q55 81Q05 81Q20 PDFBibTeX XMLCite \textit{A. E. Kulagin} et al., Russ. Phys. J. 58, No. 5, 606--615 (2015; Zbl 1331.35321); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 58, No. 5, 20--28 (2015) Full Text: DOI
Dujardin, Julien; Engl, Thomas; Urbina, Juan Diego; Schlagheck, Peter Describing many-body bosonic waveguide scattering with the truncated Wigner method. (English) Zbl 1329.81193 Ann. Phys., Berlin 527, No. 9-10, 629-638 (2015). MSC: 81Q37 81Q20 81U05 82D77 82B31 PDFBibTeX XMLCite \textit{J. Dujardin} et al., Ann. Phys., Berlin 527, No. 9--10, 629--638 (2015; Zbl 1329.81193) Full Text: DOI arXiv
Curtis, Christopher W.; Zhu, Yi Dynamics in \(\mathcal{PT}\)-symmetric honeycomb lattices with nonlinearity. (English) Zbl 1333.35248 Stud. Appl. Math. 135, No. 2, 139-170 (2015). Reviewer: Eugene Postnikov (Kursk) MSC: 35Q55 35Q82 81V80 82D80 82B20 PDFBibTeX XMLCite \textit{C. W. Curtis} and \textit{Y. Zhu}, Stud. Appl. Math. 135, No. 2, 139--170 (2015; Zbl 1333.35248) Full Text: DOI
Franchini, Fabio; Gromov, Andrey; Kulkarni, Manas; Trombettoni, Andrea Universal dynamics of a soliton after an interaction quench. (English) Zbl 1327.35333 J. Phys. A, Math. Theor. 48, No. 28, Article ID 28FT01, 11 p. (2015). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q51 35Q55 37K10 37K40 81R12 17Bxx 37J35 81R30 22E45 81V80 PDFBibTeX XMLCite \textit{F. Franchini} et al., J. Phys. A, Math. Theor. 48, No. 28, Article ID 28FT01, 11 p. (2015; Zbl 1327.35333) Full Text: DOI arXiv
Benedikter, Niels; De Oliveira, Gustavo; Schlein, Benjamin Quantitative derivation of the Gross-Pitaevskii equation. (English) Zbl 1320.35318 Commun. Pure Appl. Math. 68, No. 8, 1399-1482 (2015). MSC: 35Q55 81V70 35Q41 82C10 81S05 PDFBibTeX XMLCite \textit{N. Benedikter} et al., Commun. Pure Appl. Math. 68, No. 8, 1399--1482 (2015; Zbl 1320.35318) Full Text: DOI arXiv Link
Yuan, Jianjun Derivation of the quintic NLS from many-body quantum dynamics in \(\mathbb T^2\). (English) Zbl 1321.35214 Commun. Pure Appl. Anal. 14, No. 5, 1941-1960 (2015). MSC: 35Q55 35L15 35L45 35Q40 81V70 PDFBibTeX XMLCite \textit{J. Yuan}, Commun. Pure Appl. Anal. 14, No. 5, 1941--1960 (2015; Zbl 1321.35214) Full Text: DOI
Carles, Rémi; Hajaiej, Hichem Complementary study of the standing wave solutions of the Gross-Pitaevskii equation in dipolar quantum gases. (English) Zbl 1317.35228 Bull. Lond. Math. Soc. 47, No. 3, 509-518 (2015). MSC: 35Q55 35Q40 35J60 35Q51 81Q05 35Q41 82C22 PDFBibTeX XMLCite \textit{R. Carles} and \textit{H. Hajaiej}, Bull. Lond. Math. Soc. 47, No. 3, 509--518 (2015; Zbl 1317.35228) Full Text: DOI arXiv
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
Wang, Deng-Shan; Ma, Yu-Quan; Li, Xiang-Gui Prolongation structures and matter-wave solitons in \(F=1\) spinor Bose-Einstein condensate with time-dependent atomic scattering lengths in an expulsive harmonic potential. (English) Zbl 1448.81513 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3556-3569 (2014). MSC: 81V73 82C10 35Q55 PDFBibTeX XMLCite \textit{D.-S. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3556--3569 (2014; Zbl 1448.81513) Full Text: DOI
Jeng, B.-W.; Chien, C.-S.; Chern, I.-L. Spectral collocation and a two-level continuation scheme for dipolar Bose-Einstein condensates. (English) Zbl 1349.81087 J. Comput. Phys. 256, 713-727 (2014). MSC: 81Q05 65M70 35Q55 82B10 PDFBibTeX XMLCite \textit{B. W. Jeng} et al., J. Comput. Phys. 256, 713--727 (2014; Zbl 1349.81087) Full Text: DOI
Torres, Pedro J. Modulated amplitude waves with non-trivial phase in quasi-1D inhomogeneous Bose-Einstein condensates. (English) Zbl 1301.35158 Phys. Lett., A 378, No. 45, 3285-3288 (2014). MSC: 35Q55 35A01 81Q05 PDFBibTeX XMLCite \textit{P. J. Torres}, Phys. Lett., A 378, No. 45, 3285--3288 (2014; Zbl 1301.35158) Full Text: DOI
Eingorn, Maxim V.; Rusov, Vitaliy D. Emergent quantum Euler equation and Bose-Einstein condensates. (English) Zbl 1302.81106 Found. Phys. 44, No. 2, 183-191 (2014). MSC: 81Q65 81P20 76Y05 PDFBibTeX XMLCite \textit{M. V. Eingorn} and \textit{V. D. Rusov}, Found. Phys. 44, No. 2, 183--191 (2014; Zbl 1302.81106) Full Text: DOI arXiv
Schlein, B. Quantum dynamics, coherent states and Bogoliubov transformations. (English) Zbl 1302.81096 Jensen, Arne (ed.), XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6–11, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4449-23-6/hbk; 978-981-4449-25-0/ebook). 197-216 (2014). MSC: 81Q05 81V70 81R30 PDFBibTeX XMLCite \textit{B. Schlein}, in: XVIIth international congress on mathematical physics, Aalborg, Denmark, August 6--11, 2012. Hackensack, NJ: World Scientific. 197--216 (2014; Zbl 1302.81096) Full Text: DOI arXiv