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
de Laire, André; Gravejat, Philippe; Smets, Didier Construction of minimizing traveling waves for the Gross-Pitaevskii equation on \(\mathbb{R} \times \mathbb{T}\). (English) Zbl 07803195 Tunis. J. Math. 6, No. 1, 157-188 (2024). MSC: 35C07 35C08 35Q55 37K40 PDFBibTeX XMLCite \textit{A. de Laire} et al., Tunis. J. Math. 6, No. 1, 157--188 (2024; Zbl 07803195) Full Text: DOI arXiv
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
Li, Shangshuai; Zhang, Da-jun Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations. (English) Zbl 07801783 Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024). MSC: 35Q55 35Q41 37K10 82C10 82C26 35C08 PDFBibTeX XMLCite \textit{S. Li} and \textit{D.-j. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 129, Article ID 107705, 14 p. (2024; Zbl 07801783) Full Text: DOI
de Laire, André; Dujardin, Guillaume; López-Martínez, Salvador Numerical computation of dark solitons of a nonlocal nonlinear Schrödinger equation. (English) Zbl 07787315 J. Nonlinear Sci. 34, No. 1, Paper No. 23, 30 p. (2024). MSC: 35Q55 35C07 35B35 35C07 35C08 37K40 65M06 65N06 65M12 PDFBibTeX XMLCite \textit{A. de Laire} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 23, 30 p. (2024; Zbl 07787315) Full Text: DOI arXiv
Sadaka, Georges; Kalt, Victor; Danaila, Ionut; Hecht, Frédéric A finite element toolbox for the Bogoliubov-de Gennes stability analysis of Bose-Einstein condensates. (English) Zbl 07763788 Comput. Phys. Commun. 294, Article ID 108948, 17 p. (2024). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{G. Sadaka} et al., Comput. Phys. Commun. 294, Article ID 108948, 17 p. (2024; Zbl 07763788) Full Text: DOI arXiv
Martínez Sánchez, Francisco Javier; Ruiz, David Existence and nonexistence of traveling waves for the Gross-Pitaevskii equation in tori. (English) Zbl 07817646 Math. Eng. (Springfield) 5, No. 1, Paper No. 11, 14 p. (2023). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{F. J. Martínez Sánchez} and \textit{D. Ruiz}, Math. Eng. (Springfield) 5, No. 1, Paper No. 11, 14 p. (2023; Zbl 07817646) Full Text: DOI arXiv
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
Maleki, Mahnaz; Mohammadzadeh, Hosein; Ebadi, Zahra Nonextensive Gross Pitaevskii equation. (English) Zbl 07796851 Int. J. Geom. Methods Mod. Phys. 20, No. 12, Article ID 2350216, 15 p. (2023). MSC: 82Bxx 35Qxx 46N55 PDFBibTeX XMLCite \textit{M. Maleki} et al., Int. J. Geom. Methods Mod. Phys. 20, No. 12, Article ID 2350216, 15 p. (2023; Zbl 07796851) Full Text: DOI
Mohebalizadeh, Hamed; Adibi, Hojatollah; Dehghan, Mehdi Well-posedness of space fractional Ginzburg-Landau equations involving the fractional Laplacian arising in a Bose-Einstein condensation and its kernel based approximation. (English) Zbl 1526.35295 Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107469, 23 p. (2023). MSC: 35R11 35Q56 PDFBibTeX XMLCite \textit{H. Mohebalizadeh} et al., Commun. Nonlinear Sci. Numer. Simul. 126, Article ID 107469, 23 p. (2023; Zbl 1526.35295) Full Text: DOI
Wegner, Robert Global-in-time well-posedness of the one-dimensional hydrodynamic Gross-Pitaevskii equations without vacuum. (English) Zbl 1527.35395 Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023). MSC: 35Q55 35Q31 35Q53 35A01 35A02 35C08 37K10 76N10 42B25 35R10 PDFBibTeX XMLCite \textit{R. Wegner}, Z. Angew. Math. Phys. 74, No. 5, Paper No. 194, 29 p. (2023; Zbl 1527.35395) Full Text: DOI arXiv OA License
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
Pu, Juncai; Chen, Yong Complex dynamics on the one-dimensional quantum droplets via time piecewise PINNs. (English) Zbl 07736381 Physica D 454, Article ID 133851, 14 p. (2023). MSC: 68-XX 92-XX PDFBibTeX XMLCite \textit{J. Pu} and \textit{Y. Chen}, Physica D 454, Article ID 133851, 14 p. (2023; Zbl 07736381) Full Text: DOI arXiv
Henning, Patrick; Persson, Anna On optimal convergence rates for discrete minimizers of the Gross-Pitaevskii energy in localized orthogonal decomposition spaces. (English) Zbl 1519.35292 Multiscale Model. Simul. 21, No. 3, 993-1011 (2023). MSC: 35Q55 65N15 65N25 65N30 82C10 PDFBibTeX XMLCite \textit{P. Henning} and \textit{A. Persson}, Multiscale Model. Simul. 21, No. 3, 993--1011 (2023; Zbl 1519.35292) Full Text: DOI arXiv
Li, Li; Yu, Fajun Some space-time fractional bright-dark solitons and propagation manipulations for a fractional Gross-Pitaevskii equation with an external potential. (English) Zbl 1519.35357 Commun. Theor. Phys. 75, No. 7, Article ID 075010, 9 p. (2023). MSC: 35R11 35Q51 35C08 26A33 PDFBibTeX XMLCite \textit{L. Li} and \textit{F. Yu}, Commun. Theor. Phys. 75, No. 7, Article ID 075010, 9 p. (2023; Zbl 1519.35357) 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
Doha, Eid H.; Abdelkawy, Mohamed A.; Amin, Ahmed Z. M.; Lopes, António M. Numerical solutions for variable-order fractional Gross-Pitaevskii equation with two spectral collocation approaches. (English) Zbl 07702447 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 421-435 (2023). MSC: 65D32 65N35 35R11 PDFBibTeX XMLCite \textit{E. H. Doha} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 2, 421--435 (2023; Zbl 07702447) Full Text: DOI
Kalt, Victor; Sadaka, Georges; Danaila, Ionut; Hecht, Frédéric Identification of vortices in quantum fluids: finite element algorithms and programs. (English) Zbl 07700421 Comput. Phys. Commun. 284, Article ID 108606, 15 p. (2023). MSC: 76-XX 82-XX PDFBibTeX XMLCite \textit{V. Kalt} et al., Comput. Phys. Commun. 284, Article ID 108606, 15 p. (2023; Zbl 07700421) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Wei, Juncheng; Wu, Yuanze Positive solutions of the Gross-Pitaevskii equation for energy critical and supercritical nonlinearities. (English) Zbl 1518.35390 Nonlinearity 36, No. 7, 3684-3709 (2023). MSC: 35J91 35J05 35B40 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} et al., Nonlinearity 36, No. 7, 3684--3709 (2023; Zbl 1518.35390) Full Text: DOI arXiv
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
Belloni, Andrea; Ricca, Renzo L. On the zero helicity condition for quantum vortex defects. (English) Zbl 1527.76092 J. Fluid Mech. 963, Paper No. R2, 9 p. (2023). MSC: 76Y05 76A25 76M30 PDFBibTeX XMLCite \textit{A. Belloni} and \textit{R. L. Ricca}, J. Fluid Mech. 963, Paper No. R2, 9 p. (2023; Zbl 1527.76092) 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
Koch, Herbert; Liao, Xian Conserved energies for the one dimensional Gross-Pitaevskii equation: low regularity case. (English) Zbl 1515.35253 Adv. Math. 420, Article ID 108996, 61 p. (2023). Reviewer: Jiqiang Zheng (Beijing) MSC: 35Q55 35Q41 37K10 37K15 35B65 35B40 PDFBibTeX XMLCite \textit{H. Koch} and \textit{X. Liao}, Adv. Math. 420, Article ID 108996, 61 p. (2023; Zbl 1515.35253) Full Text: DOI arXiv
Young-S., Luis E.; Muruganandam, Paulsamy; Balaž, Antun; Adhikari, Sadhan K. OpenMP Fortran programs for solving the time-dependent dipolar Gross-Pitaevskii equation. (English) Zbl 07666753 Comput. Phys. Commun. 286, Article ID 108669, 2 p. (2023). MSC: 82-XX 83-XX PDFBibTeX XMLCite \textit{L. E. Young-S.} et al., Comput. Phys. Commun. 286, Article ID 108669, 2 p. (2023; Zbl 07666753) Full Text: DOI arXiv
Zhou, Ruguang; Zhu, Hongyang An integrable matrix NLS equation on star graph and symmetry-dependent connection conditions of vertex. (English) Zbl 1511.37080 Comput. Appl. Math. 42, No. 2, Paper No. 69, 11 p. (2023). MSC: 37K10 35R05 35Q55 PDFBibTeX XMLCite \textit{R. Zhou} and \textit{H. Zhu}, Comput. Appl. Math. 42, No. 2, Paper No. 69, 11 p. (2023; Zbl 1511.37080) 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
Gravejat, Philippe; Pacherie, Eliot; Smets, Didier On the stability of the Ginzburg-Landau vortex. (English) Zbl 1525.35024 Proc. Lond. Math. Soc. (3) 125, No. 5, 1015-1065 (2022). Reviewer: Michał Kowalczyk (Santiago de Chile) MSC: 35B35 35J20 35Q56 PDFBibTeX XMLCite \textit{P. Gravejat} et al., Proc. Lond. Math. Soc. (3) 125, No. 5, 1015--1065 (2022; Zbl 1525.35024) Full Text: DOI arXiv
Liu, Shi-min; Zhang, Da-jun Conserved Gross-Pitaevskii equations with a parabolic potential. (English) Zbl 1516.35357 Commun. Theor. Phys. 74, No. 10, Article ID 105003, 7 p. (2022). MSC: 35Q51 35Q55 PDFBibTeX XMLCite \textit{S.-m. Liu} and \textit{D.-j. Zhang}, Commun. Theor. Phys. 74, No. 10, Article ID 105003, 7 p. (2022; Zbl 1516.35357) Full Text: DOI
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
Dávila, Juan; Del Pino, Manuel; Medina, Maria; Rodiac, Rémy Interacting helical traveling waves for the Gross-Pitaevskii equation. (English) Zbl 1510.35295 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1319-1367 (2022). MSC: 35Q55 35Q56 35C07 35A01 35A02 PDFBibTeX XMLCite \textit{J. Dávila} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 39, No. 6, 1319--1367 (2022; Zbl 1510.35295) 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
Pelinovsky, Dmitry E.; Sobieszek, Szymon Morse index for the ground state in the energy supercritical Gross-Pitaevskii equation. (English) Zbl 1506.35086 J. Differ. Equations 341, 380-401 (2022). MSC: 35J61 35J91 35J15 PDFBibTeX XMLCite \textit{D. E. Pelinovsky} and \textit{S. Sobieszek}, J. Differ. Equations 341, 380--401 (2022; Zbl 1506.35086) Full Text: DOI arXiv
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
Sabari, S.; Lekeufack, OT; Yamgoue, SB; Tamilthiruvalluvar, R.; Radha, R. Role of higher-order interactions on the modulational instability of Bose-Einstein condensate trapped in a periodic optical lattice. (English) Zbl 1498.35512 Int. J. Theor. Phys. 61, No. 8, Paper No. 222, 15 p. (2022). MSC: 35Q55 35Q82 82C10 82D50 82C20 35C08 PDFBibTeX XMLCite \textit{S. Sabari} et al., Int. J. Theor. Phys. 61, No. 8, Paper No. 222, 15 p. (2022; Zbl 1498.35512) Full Text: DOI arXiv
Kengne, Emmanuel; Liu, Wu-Ming; English, Lars Q.; Malomed, Boris A. Ginzburg-Landau models of nonlinear electric transmission networks. (English) Zbl 1518.35575 Phys. Rep. 982, 1-124 (2022). MSC: 35Q55 35Q56 78A60 78A40 78A25 35C08 35C07 35B35 35B32 35-02 PDFBibTeX XMLCite \textit{E. Kengne} et al., Phys. Rep. 982, 1--124 (2022; Zbl 1518.35575) Full Text: DOI
Fu, Yayun; Hu, Dongdong; Zhang, Gengen Arbitrary high-order exponential integrators conservative schemes for the nonlinear Gross-Pitaevskii equation. (English) Zbl 1524.65944 Comput. Math. Appl. 121, 102-114 (2022). MSC: 65P10 35Q55 65L06 65M06 65M70 65M12 PDFBibTeX XMLCite \textit{Y. Fu} et al., Comput. Math. Appl. 121, 102--114 (2022; Zbl 1524.65944) 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
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
Zhong, Ming; Gong, Shibo; Tian, Shou-Fu; Yan, Zhenya Data-driven rogue waves and parameters discovery in nearly integrable \(\mathcal{PT}\)-symmetric Gross-Pitaevskii equations via PINNs deep learning. (English) Zbl 1496.35373 Physica D 439, Article ID 133430, 12 p. (2022). MSC: 35Q55 35Q35 76B15 68T07 35R30 PDFBibTeX XMLCite \textit{M. Zhong} et al., Physica D 439, Article ID 133430, 12 p. (2022; Zbl 1496.35373) Full Text: DOI
Du, Chang-En; Liu, Ching-Sung Newton-Noda iteration for computing the ground states of nonlinear Schrödinger equations. (English) Zbl 1504.35473 SIAM J. Sci. Comput. 44, No. 4, A2370-A2385 (2022). Reviewer: Ivan Naumkin (Nice) MSC: 35Q55 65F15 65N25 49M15 PDFBibTeX XMLCite \textit{C.-E. Du} and \textit{C.-S. Liu}, SIAM J. Sci. Comput. 44, No. 4, A2370--A2385 (2022; Zbl 1504.35473) Full Text: DOI
Manikandan, K.; Vishnu Priya, N.; Senthilvelan, M.; Sankaranarayanan, R. Higher-order matter rogue waves and their deformations in two-component Bose-Einstein condensates. (English) Zbl 1501.76004 Waves Random Complex Media 32, No. 2, 867-886 (2022). MSC: 76A25 35Q55 PDFBibTeX XMLCite \textit{K. Manikandan} et al., Waves Random Complex Media 32, No. 2, 867--886 (2022; Zbl 1501.76004) Full Text: DOI
Zhou, Xiaoyu; Zhu, Shihui Cross-invariant manifolds for the Gross-Pitaevskii-Poisson equation. (English) Zbl 1497.35165 Z. Angew. Math. Phys. 73, No. 4, Paper No. 160, 15 p. (2022). MSC: 35J35 35Q55 37K45 PDFBibTeX XMLCite \textit{X. Zhou} and \textit{S. Zhu}, Z. Angew. Math. Phys. 73, No. 4, Paper No. 160, 15 p. (2022; Zbl 1497.35165) 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
Zuccher, Simone; Ricca, Renzo L. Creation of quantum knots and links driven by minimal surfaces. (English) Zbl 1504.76112 J. Fluid Mech. 942, Paper No. A8, 22 p. (2022). MSC: 76Y05 76M20 57K99 PDFBibTeX XMLCite \textit{S. Zuccher} and \textit{R. L. Ricca}, J. Fluid Mech. 942, Paper No. A8, 22 p. (2022; Zbl 1504.76112) 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
Enciso, Alberto; Peralta-Salas, Daniel Vortex reconnections in classical and quantum fluids. (English) Zbl 1484.35311 S\(\vec{\text{e}}\)MA J. 79, No. 1, 127-137 (2022). MSC: 35Q30 35Q55 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{D. Peralta-Salas}, S\(\vec{\text{e}}\)MA J. 79, No. 1, 127--137 (2022; Zbl 1484.35311) Full Text: DOI
Guo, Qing; Tian, Shuying; Zhou, Yang Curve-like concentration for Bose-Einstein condensates. (English) Zbl 1485.35233 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 63, 20 p. (2022). MSC: 35J91 35J05 35J20 PDFBibTeX XMLCite \textit{Q. Guo} et al., Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 63, 20 p. (2022; Zbl 1485.35233) Full Text: DOI
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
Dinh, Van Duong; Forcella, Luigi; Hajaiej, Hichem Mass-energy threshold dynamics for dipolar quantum gases. (English) Zbl 1479.35775 Commun. Math. Sci. 20, No. 1, 165-200 (2022). MSC: 35Q55 35B40 35B44 82C10 PDFBibTeX XMLCite \textit{V. D. Dinh} et al., Commun. Math. Sci. 20, No. 1, 165--200 (2022; Zbl 1479.35775) 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
Zhu, Hai-Ping; Xu, Yun-Jie High-dimensional vector solitons for a variable-coefficient partially nonlocal coupled Gross-Pitaevskii equation in a harmonic potential. (English) Zbl 1479.35218 Appl. Math. Lett. 124, Article ID 107701, 7 p. (2022). MSC: 35C08 35G55 35R09 PDFBibTeX XMLCite \textit{H.-P. Zhu} and \textit{Y.-J. Xu}, Appl. Math. Lett. 124, Article ID 107701, 7 p. (2022; Zbl 1479.35218) Full Text: DOI
Young-S., Luis E.; Adhikari, S. K. Deep inelastic collision of two-dimensional anisotropic dipolar condensate solitons. (English) Zbl 1501.65091 Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022). MSC: 65N06 35Q55 35C08 82C10 82B10 76Y05 PDFBibTeX XMLCite \textit{L. E. Young-S.} and \textit{S. K. Adhikari}, Commun. Nonlinear Sci. Numer. Simul. 106, Article ID 106094, 13 p. (2022; Zbl 1501.65091) Full Text: DOI arXiv
Liu, Jiayin; He, Zhiqian; Feng, Binhua Existence and stability of standing waves for the inhomogeneous Gross-Pitaevskii equation with a partial confinement. (English) Zbl 1489.35255 J. Math. Anal. Appl. 506, No. 1, Article ID 125604, 20 p. (2022). MSC: 35Q55 35B35 35B44 35A15 35J61 35A01 PDFBibTeX XMLCite \textit{J. Liu} et al., J. Math. Anal. Appl. 506, No. 1, Article ID 125604, 20 p. (2022; Zbl 1489.35255) Full Text: DOI
Chen, Weiru; Lan, Shanquan; Liu, Xiyi; Mo, Jiexiong; Xu, Xiaobao; Li, Guqiang Padé approximations of quantized-vortex solutions of the Gross-Pitaevskii equation. (English) Zbl 1521.35145 Commun. Theor. Phys. 73, No. 8, Article ID 085701, 11 p. (2021). MSC: 35Q40 35Q35 76M23 76F05 41A21 PDFBibTeX XMLCite \textit{W. Chen} et al., Commun. Theor. Phys. 73, No. 8, Article ID 085701, 11 p. (2021; Zbl 1521.35145) 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: 74-XX 76-XX PDFBibTeX XMLCite \textit{J. Gaidamour} et al., Comput. Phys. Commun. 265, Article ID 108007, 16 p. (2021; Zbl 07695383) Full Text: DOI
Cui, Jin; Wang, Yushun; Jiang, Chaolong Arbitrarily high-order structure-preserving schemes for the Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 07690841 Comput. Phys. Commun. 261, Article ID 107767, 19 p. (2021). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Cui} et al., Comput. Phys. Commun. 261, Article ID 107767, 19 p. (2021; Zbl 07690841) Full Text: DOI arXiv
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
Kobayashi, Michikazu; Parnaudeau, Philippe; Luddens, Francky; Lothodé, Corentin; Danaila, Luminita; Brachet, Marc; Danaila, Ionut Quantum turbulence simulations using the Gross-Pitaevskii equation: high-performance computing and new numerical benchmarks. (English) Zbl 07689024 Comput. Phys. Commun. 258, Article ID 107579, 26 p. (2021). MSC: 82-XX 76-XX PDFBibTeX XMLCite \textit{M. Kobayashi} et al., Comput. Phys. Commun. 258, Article ID 107579, 26 p. (2021; Zbl 07689024) Full Text: DOI arXiv
Roitberg, Alice; Ricca, Renzo L. Hydrodynamic derivation of the Gross-Pitaevskii equation in general Riemannian metric. (English) Zbl 1519.35229 J. Phys. A, Math. Theor. 54, No. 31, Article ID 315201, 15 p. (2021). MSC: 35Q30 35Q31 PDFBibTeX XMLCite \textit{A. Roitberg} and \textit{R. L. Ricca}, J. Phys. A, Math. Theor. 54, No. 31, Article ID 315201, 15 p. (2021; Zbl 1519.35229) Full Text: DOI
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
Antoine, Xavier; Shen, Jie; Tang, Qinglin Scalar auxiliary variable/Lagrange multiplier based pseudospectral schemes for the dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 07505911 J. Comput. Phys. 437, Article ID 110328, 19 p. (2021). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{X. Antoine} et al., J. Comput. Phys. 437, Article ID 110328, 19 p. (2021; Zbl 07505911) Full Text: DOI HAL
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
Kengne, Emmanuel; Malomed, Boris A.; Liu, WuMing Phase engineering of chirped rogue waves in Bose-Einstein condensates with a variable scattering length in an expulsive potential. (English) Zbl 1477.35243 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021). MSC: 35Q55 35Q60 35C08 78A60 78A45 78A40 82C10 37K10 PDFBibTeX XMLCite \textit{E. Kengne} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 105983, 17 p. (2021; Zbl 1477.35243) Full Text: DOI arXiv
Henry-Labordère, Pierre; Touzi, Nizar Branching diffusion representation for nonlinear Cauchy problems and Monte Carlo approximation. (English) Zbl 1476.35090 Ann. Appl. Probab. 31, No. 5, 2350-2375 (2021). MSC: 35C15 35G25 60J85 65C05 PDFBibTeX XMLCite \textit{P. Henry-Labordère} and \textit{N. Touzi}, Ann. Appl. Probab. 31, No. 5, 2350--2375 (2021; Zbl 1476.35090) Full Text: DOI arXiv Link
Caliari, Marco; Zuccher, Simone A fast time splitting finite difference approach to Gross-Pitaevskii equations. (English) Zbl 1473.65096 Commun. Comput. Phys. 29, No. 5, 1336-1364 (2021). MSC: 65M06 65M70 PDFBibTeX XMLCite \textit{M. Caliari} and \textit{S. Zuccher}, Commun. Comput. Phys. 29, No. 5, 1336--1364 (2021; Zbl 1473.65096) Full Text: DOI
Bellazzini, Jacopo; Forcella, Luigi Dynamical collapse of cylindrical symmetric dipolar Bose-Einstein condensates. (English) Zbl 1479.35764 Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 229, 33 p. (2021). MSC: 35Q55 35Q41 35B40 35B44 82C10 35J20 PDFBibTeX XMLCite \textit{J. Bellazzini} and \textit{L. Forcella}, Calc. Var. Partial Differ. Equ. 60, No. 6, Paper No. 229, 33 p. (2021; Zbl 1479.35764) 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
Enciso, Alberto; Peralta-Salas, Daniel Approximation theorems for the Schrödinger equation and quantum vortex reconnection. (English) Zbl 1479.35784 Commun. Math. Phys. 387, No. 2, 1111-1149 (2021). MSC: 35Q55 35Q56 35B65 35A01 82D50 82C10 PDFBibTeX XMLCite \textit{A. Enciso} and \textit{D. Peralta-Salas}, Commun. Math. Phys. 387, No. 2, 1111--1149 (2021; Zbl 1479.35784) Full Text: DOI arXiv
Altmann, Robert; Henning, Patrick; Peterseim, Daniel The \(J\)-method for the Gross-Pitaevskii eigenvalue problem. (English) Zbl 1510.65289 Numer. Math. 148, No. 3, 575-610 (2021). MSC: 65N25 65H17 PDFBibTeX XMLCite \textit{R. Altmann} et al., Numer. Math. 148, No. 3, 575--610 (2021; Zbl 1510.65289) Full Text: DOI arXiv
Jerrard, R. L.; Smets, D. Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation. (English) Zbl 1472.35358 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 127, 34 p. (2021). MSC: 35Q55 35Q31 35B40 76D17 PDFBibTeX XMLCite \textit{R. L. Jerrard} and \textit{D. Smets}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 127, 34 p. (2021; Zbl 1472.35358) Full Text: DOI arXiv
Luo, Yongming; Stylianou, Athanasios On 3d dipolar Bose-Einstein condensates involving quantum fluctuations and three-body interactions. (English) Zbl 1471.35259 Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455-3477 (2021). MSC: 35Q55 49J35 35B09 35A01 35A02 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{A. Stylianou}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 6, 3455--3477 (2021; Zbl 1471.35259) Full Text: DOI arXiv
Bizon, Piotr; Ficek, Filip; Pelinovsky, Dmitry E.; Sobieszek, Szymon Ground state in the energy super-critical Gross-Pitaevskii equation with a harmonic potential. (English) Zbl 1470.35322 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112358, 36 p. (2021). MSC: 35Q55 35Q41 35B40 35B09 35B06 65L10 PDFBibTeX XMLCite \textit{P. Bizon} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 210, Article ID 112358, 36 p. (2021; Zbl 1470.35322) Full Text: DOI arXiv
Jia, Huifang; Luo, Xiao Existence and concentration of solutions to the Gross-Pitaevskii equation with steep potential well. (English) Zbl 1466.35177 Z. Angew. Math. Phys. 72, No. 2, Paper No. 71, 18 p. (2021). MSC: 35J61 35A01 35J20 PDFBibTeX XMLCite \textit{H. Jia} and \textit{X. Luo}, Z. Angew. Math. Phys. 72, No. 2, Paper No. 71, 18 p. (2021; Zbl 1466.35177) Full Text: DOI
Wang, Ying; Chen, Yujie; Dai, Jun; Zhao, Li; Wen, Wen; Wang, Wei Soliton evolution and associated sonic horizon formation dynamics in two-dimensional Bose-Einstein condensate with quintic-order nonlinearity. (English) Zbl 1467.82042 Chaos 31, No. 2, 023105, 7 p. (2021). MSC: 82C10 35Q41 35C08 35C06 37K40 83C57 PDFBibTeX XMLCite \textit{Y. Wang} et al., Chaos 31, No. 2, 023105, 7 p. (2021; Zbl 1467.82042) Full Text: DOI
Geng, Xianguo; Wang, Kedong; Chen, Mingming Long-time asymptotics for the spin-1 Gross-Pitaevskii equation. (English) Zbl 1466.35326 Commun. Math. Phys. 382, No. 1, 585-611 (2021). MSC: 35Q55 35Q15 35A22 35P25 35B40 35C20 30E25 PDFBibTeX XMLCite \textit{X. Geng} et al., Commun. Math. Phys. 382, No. 1, 585--611 (2021; Zbl 1466.35326) Full Text: DOI
Zhang, Hui; Xu, Junxiang Existence and multiplicity of semiclassical states for Gross-Pitaevskii equation in dipolar quantum gases. (English) Zbl 1464.35085 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 71, 22 p. (2021). MSC: 35J20 35J61 35A15 PDFBibTeX XMLCite \textit{H. Zhang} and \textit{J. Xu}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 71, 22 p. (2021; Zbl 1464.35085) Full Text: DOI
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
Hajaiej, Hichem; Ibrahim, Slim; Masmoudi, Nader Ground state solutions of the complex Gross Pitaevskii equation associated to exciton-polariton Bose-Einstein condensates. (English. French summary) Zbl 1473.35163 J. Math. Pures Appl. (9) 148, 1-23 (2021). Reviewer: Italo Capuzzo Dolcetta (Roma) MSC: 35J25 35J60 35A01 35A15 PDFBibTeX XMLCite \textit{H. Hajaiej} et al., J. Math. Pures Appl. (9) 148, 1--23 (2021; Zbl 1473.35163) Full Text: DOI arXiv
Feng, Binhua; Cao, Leijin; Liu, Jiayin Existence of stable standing waves for the Lee-Huang-Yang corrected dipolar Gross-Pitaevskii equation. (English) Zbl 1460.35153 Appl. Math. Lett. 115, Article ID 106952, 8 p. (2021). MSC: 35J61 35Q55 35A01 PDFBibTeX XMLCite \textit{B. Feng} et al., Appl. Math. Lett. 115, Article ID 106952, 8 p. (2021; Zbl 1460.35153) Full Text: DOI
Luo, Yongming; Stylianou, Athanasios Ground states for a nonlocal mixed order cubic-quartic Gross-Pitaevskii equation. (English) Zbl 1462.35362 J. Math. Anal. Appl. 496, No. 1, Article ID 124802, 21 p. (2021). MSC: 35Q55 35B09 PDFBibTeX XMLCite \textit{Y. Luo} and \textit{A. Stylianou}, J. Math. Anal. Appl. 496, No. 1, Article ID 124802, 21 p. (2021; Zbl 1462.35362) Full Text: DOI arXiv
Besse, Christophe; Descombes, Stéphane; Dujardin, Guillaume; Lacroix-Violet, Ingrid Energy-preserving methods for nonlinear Schrödinger equations. (English) Zbl 1460.65099 IMA J. Numer. Anal. 41, No. 1, 618-653 (2021). MSC: 65M06 65M12 35Q55 35Q41 65F10 PDFBibTeX XMLCite \textit{C. Besse} et al., IMA J. Numer. Anal. 41, No. 1, 618--653 (2021; Zbl 1460.65099) Full Text: DOI arXiv
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
Koch, Herbert; Liao, Xian Conserved energies for the one dimensional Gross-Pitaevskii equation. (English) Zbl 1455.35236 Adv. Math. 377, Article ID 107467, 84 p. (2021). MSC: 35Q55 35Q53 35A01 35A02 35B65 PDFBibTeX XMLCite \textit{H. Koch} and \textit{X. Liao}, Adv. Math. 377, Article ID 107467, 84 p. (2021; Zbl 1455.35236) Full Text: DOI arXiv
Lin, Zeda; Xu, Xiaoxi; Chen, Zikang; Yan, Ziteng; Mai, Zhijie; Liu, Bin Two-dimensional vortex quantum droplets get thick. (English) Zbl 1452.35190 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105536, 8 p. (2021). MSC: 35Q55 82D50 82C10 PDFBibTeX XMLCite \textit{Z. Lin} et al., Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105536, 8 p. (2021; Zbl 1452.35190) Full Text: DOI arXiv
Roy, Arko; Pal, Sukla; Gautam, S.; Angom, D.; Muruganandam, P. FACt: Fortran toolbox for calculating fluctuations in atomic condensates. (English) Zbl 1525.82001 Comput. Phys. Commun. 256, Article ID 107288, 17 p. (2020). MSC: 82-04 PDFBibTeX XMLCite \textit{A. Roy} et al., Comput. Phys. Commun. 256, Article ID 107288, 17 p. (2020; Zbl 1525.82001) Full Text: DOI arXiv
Cui, Jin; Cai, Wenjun; Wang, Yushun A linearly-implicit and conservative Fourier pseudo-spectral method for the 3D Gross-Pitaevskii equation with angular momentum rotation. (English) Zbl 07687598 Comput. Phys. Commun. 253, Article ID 107160, 26 p. (2020). MSC: 65-XX 76-XX PDFBibTeX XMLCite \textit{J. Cui} et al., Comput. Phys. Commun. 253, Article ID 107160, 26 p. (2020; Zbl 07687598) Full Text: DOI
Swarup, Swetlana; Vasan, Vishal; Kulkarni, Manas Provable bounds for the Korteweg-de Vries reduction in multi-component nonlinear Schrödinger equation. (English) Zbl 1514.35398 J. Phys. A, Math. Theor. 53, No. 13, Article ID 135206, 36 p. (2020). MSC: 35Q53 35Q51 35Q55 PDFBibTeX XMLCite \textit{S. Swarup} et al., J. Phys. A, Math. Theor. 53, No. 13, Article ID 135206, 36 p. (2020; Zbl 1514.35398) Full Text: DOI arXiv
Bayındır, Cihan Rogue quantum harmonic oscillations. (English) Zbl 07530179 Physica A 547, Article ID 124462, 7 p. (2020). MSC: 82-XX PDFBibTeX XMLCite \textit{C. Bayındır}, Physica A 547, Article ID 124462, 7 p. (2020; Zbl 07530179) Full Text: DOI arXiv
Wang, Yongbin; Feng, Binhua Instability of standing waves for the inhomogeneous Gross-Pitaevskii equation. (English) Zbl 1485.35349 AIMS Math. 5, No. 5, 4596-4612 (2020). MSC: 35Q55 35A15 35C08 PDFBibTeX XMLCite \textit{Y. Wang} and \textit{B. Feng}, AIMS Math. 5, No. 5, 4596--4612 (2020; Zbl 1485.35349) Full Text: DOI
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
He, Zengjia; Kong, Linghua; Fu, Fangfang The splitting high-order compact difference scheme for two-dimensional Gross-Pitaevskii equation. (Chinese. English summary) Zbl 1474.65276 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 44, No. 6, 599-603 (2020). MSC: 65M06 65N06 65M12 65N12 35Q55 PDFBibTeX XMLCite \textit{Z. He} et al., J. Jiangxi Norm. Univ., Nat. Sci. Ed. 44, No. 6, 599--603 (2020; Zbl 1474.65276) Full Text: DOI
Huang, Xiaomeng; Zhang, Yimin Existence of ground states for a class of modified Gross-Pitaevskii equations. (Chinese. English summary) Zbl 1474.35585 Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 4, 850-856 (2020). MSC: 35Q55 PDFBibTeX XMLCite \textit{X. Huang} and \textit{Y. Zhang}, Acta Math. Sci., Ser. A, Chin. Ed. 40, No. 4, 850--856 (2020; Zbl 1474.35585)