Blair, Matthew D.; Huang, Xiaoqi; Sogge, Christopher D. Strichartz estimates for the Schrödinger equation on negatively curved compact manifolds. (English) Zbl 07900788 J. Funct. Anal. 287, No. 10, Article ID 110613, 73 p. (2024). MSC: 58J60 58J05 53C22 35Q55 35P15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ahmad, Jamshad; Mustafa, Zulaikha Multi soliton solutions and their wave propagation insights to the nonlinear Schrödinger equation via two expansion methods. (English) Zbl 07886859 Quantum Stud. Math. Found. 11, No. 2, 245-261 (2024). MSC: 81-XX × Cite Format Result Cite Review PDF Full Text: DOI
Nowaskie, Gabriel Operator space manifold theory: modeling quantum operators with a Riemannian manifold. (English) Zbl 1547.81091 Int. J. Theor. Phys. 63, No. 2, Paper No. 41, 20 p. (2024). MSC: 81Q05 81P16 81V70 53Z05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhang, Qiuyan; Zhou, Yuqian; Li, Jibin; Yu, Mengke Peakon, periodic peakons, compactons and bifurcations of nonlinear Schrödinger’s equation with Kudryashov’s law of refractive index. (English) Zbl 1535.35173 J. Nonlinear Math. Phys. 31, No. 1, Paper No. 20, 16 p. (2024). MSC: 35Q55 35Q51 35B32 37K40 37K50 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Rehman, Hamood Ur; Imran, Muhammad Asjad; Ullah, Naeem; Akgül, Ali Exact solutions of \((2+1)\)-dimensional Schrödinger’s hyperbolic equation using different techniques. (English) Zbl 1534.35359 Numer. Methods Partial Differ. Equations 39, No. 6, 4575-4594 (2023). MSC: 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Heid, Pascal Gradient flow finite element discretisations with energy-based adaptivity for excited states of Schrödinger’s equation. (English) Zbl 07750349 J. Comput. Math. 41, No. 5, 933-955 (2023). MSC: 65N30 65N25 65N50 65F15 49M41 35Q40 35Q55 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alam, Badar E.; Javid, Ahmad Optical dual-waves to a new dual-mode extension of a third order dispersive nonlinear Schrödinger’s equation. (English) Zbl 1527.81044 Phys. Lett., A 480, Article ID 128954, 9 p. (2023). MSC: 81Q05 35Q55 14D21 30B50 81Q35 78A60 82D10 81V73 82B26 × Cite Format Result Cite Review PDF Full Text: DOI
Dubey, Ved Prakash; Singh, Jagdev; Alshehri, Ahmed M.; Dubey, Sarvesh; Kumar, Devendra An efficient analytical scheme with convergence analysis for computational study of local fractional Schrödinger equations. (English) Zbl 1540.35438 Math. Comput. Simul. 196, 296-318 (2022). MSC: 35R11 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Galler, Anna; Canfield, Jeremy; Freericks, James K. Schrödinger’s original quantum-mechanical solution for hydrogen. (English) Zbl 1523.81210 Eur. J. Phys. 42, No. 3, Article ID 035405, 21 p. (2021). MSC: 81V45 81Q05 34M30 81-03 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Daouda, Paré; Lamien, Kassiénou; Somé, Blaise; Paré, Youssouf; Somé, Longin Solving the Ivancevic options pricing model with the numerical method Some Blaise-Abbo (SBA). (English) Zbl 1499.49086 Adv. Differ. Equ. Control Process. 24, No. 2, 133-143 (2021). MSC: 49M27 35G25 35Q91 × Cite Format Result Cite Review PDF Full Text: DOI
Eslami, M.; Neirameh, A. Generalized exponential rational function for distinct types solutions to the conformable resonant Schrödinger’s equation. (English) Zbl 1492.81049 Int. J. Mod. Phys. B 35, No. 30, Article ID 2150306, 8 p. (2021). MSC: 81Q05 35Q55 41A20 35R11 78A60 78A50 82D25 68W30 × Cite Format Result Cite Review PDF Full Text: DOI
Younis, Muhammad; Rizvi, Syed Tahir Raza; Sardar, Ali; Mahmood, Syed Amer; Bekir, Ahmet On traveling wave solutions. The decoupled nonlinear Schrödinger equations with inter modal dispersion. (English) Zbl 1474.35194 Comput. Methods Differ. Equ. 9, No. 1, 52-62 (2021). MSC: 35C08 35Q55 83C15 × Cite Format Result Cite Review PDF Full Text: DOI
Mikami, Toshio Regularity of Schrödinger’s functional equation in the weak topology and moment measures. (English) Zbl 1470.60198 J. Math. Soc. Japan 73, No. 1, 99-123 (2021). MSC: 60H30 93E20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Di, Catherine Understanding the deconfinement process with the infinite square wall model. (English) Zbl 07684320 Eur. J. Phys. 41, No. 6, Article ID 065403, 9 p. (2020). MSC: 81-XX 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
El-Dessoky, M. M.; Islam, Saeed Resonant optical solitons of nonlinear Schrödinger equation with dual power law nonlinearity. (English) Zbl 07527127 Physica A 543, Article ID 122445, 7 p. (2020). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ghanbari, Behzad; Nisar, Kottakkaran Sooppy; Aldhaifallah, Mujahed Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method. (English) Zbl 1485.35383 Adv. Difference Equ. 2020, Paper No. 328, 25 p. (2020). MSC: 35R11 35Q53 35C08 65N22 × Cite Format Result Cite Review PDF Full Text: DOI
Patkowski, Alexander E. On integrals associated with the free particle wave packet. (English) Zbl 1483.42003 J. Appl. Anal. 26, No. 2, 257-262 (2020). MSC: 42A38 35Q40 11F20 35J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sulaiman, Tukur Abdulkadir; Bulut, Hasan Optical solitons and modulation instability analysis of the \((1+1)\)-dimensional coupled nonlinear Schrödinger equation. (English) Zbl 1451.35197 Commun. Theor. Phys. 72, No. 2, Article ID 025003, 6 p. (2020). MSC: 35Q55 35Q51 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Bensouilah, A.; Draouil, D.; Majdoub, M. A 2D Schrödinger equation with time-oscillating exponential nonlinearity. (English) Zbl 1454.35311 Dyn. Partial Differ. Equ. 17, No. 4, 307-327 (2020). MSC: 35Q41 35Q55 35B45 35B20 35A01 35A02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dartora, C. A. Do electrons obey the equivalence principle? (English) Zbl 1448.81016 Phys. Lett., A 384, No. 32, Article ID 126833, 5 p. (2020). MSC: 81P05 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Marini, Antonella; Maitra, Rachel; Moncrief, Vincent A Euclidean signature semi-classical program. (English) Zbl 1452.83006 Commun. Anal. Geom. 28, No. 4, 979-1056 (2020). MSC: 83C45 83C05 70S15 35A27 81Q05 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hill, James M. A review of de Broglie particle-wave mechanical systems. (English) Zbl 07259256 Math. Mech. Solids 25, No. 10, 1763-1777 (2020). MSC: 74-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sirisubtawee, Sekson; Khansai, Nattawut; Koonprasert, Sanoe; Torvattanabun, Montri Exact solutions of the conformable space-time chiral nonlinear Schrödinger’s equations. (English) Zbl 1463.35507 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2019, 147-166 (2020). MSC: 35R11 35G20 35C08 35A25 × Cite Format Result Cite Review PDF Full Text: Link
Nestor, Savaissou; Justin, Mibaile; Douvagai; Betchewe, Gambo; Doka, Serge Y.; Kofane, T. C. New Jacobi elliptic solutions and other solutions with quadratic-cubic nonlinearity using two mathematical methods. (English) Zbl 1439.35017 Asian-Eur. J. Math. 13, No. 2, Article ID 2050043, 10 p. (2020). MSC: 35A24 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Mikami, Toshio Regularity of Schrödinger’s functional equation and mean field PDEs for h-path processes. (English) Zbl 1448.60151 Osaka J. Math. 56, No. 4, 831-842 (2019). MSC: 60H30 93E20 × Cite Format Result Cite Review PDF Full Text: arXiv Link
El-Dessoky, M. M.; Islam, Saeed Corrigendum to the paper “Chirped solitons in generalized resonant dispersive nonlinear Schrödinger’s equation”. (Corrigendum to the paper “Study of chirped optical solitons in dimensional form of nonlinear Schrödinger equation”.) (English) Zbl 1431.78009 Int. J. Math. Comput. Sci. 14, No. 4, 993-1007 (2019). MSC: 78A60 35C08 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
El-Dessoky, M. M.; Islam, Saeed Chirped solitons in generalized resonant dispersive nonlinear Schrödinger’s equation. (English) Zbl 1419.78013 Int. J. Math. Comput. Sci. 14, No. 3, 737-752 (2019); corrigendum ibid. 14, No. 4, 993-1007 (2019). MSC: 78A60 35C08 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
Durmagambetov, Asset Reduction of modern problems of mathematics to the classical Riemann-Poincaré-Hilbert problem. (English) Zbl 1413.35366 Eur. J. Pure Appl. Math. 11, No. 4, 1143-1176 (2018). MSC: 35Q30 35Q15 35Q55 81U40 11M06 × Cite Format Result Cite Review PDF Full Text: Link
Andrews, Mark Some simple solutions of Schrödinger’s equation for a free particle or for an oscillator. (English) Zbl 1392.81113 Eur. J. Phys. 39, No. 3, Article ID 035408, 9 p. (2018). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Patkowski, Alexander E. On some non-Gaussian wave packets. (English) Zbl 1392.42007 J. Appl. Anal. 24, No. 1, 109-114 (2018). MSC: 42A38 35Q40 11F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pérez-Jordá, José M. Fast solution of Schrödinger’s equation using linear combinations of plane waves. (English) Zbl 1397.65247 Comput. Math. Appl. 74, No. 12, 3318-3327 (2017). MSC: 65N25 35Q40 35J25 65T50 65F15 × Cite Format Result Cite Review PDF Full Text: DOI
Durmagambetov, Asset Global estimation of the Cauchy problem solutions’ and blow up the Navier-Stokes equation. (English) Zbl 1378.35216 Eur. J. Pure Appl. Math. 10, No. 4, 763-785 (2017). MSC: 35Q30 35B44 35A02 42A38 × Cite Format Result Cite Review PDF Full Text: Link
Sangaré, Boureima A moving mesh method for the nonlinear Schrödinger equation. (A moving mesh method for the nonlinear Shrödinger equation.) (English) Zbl 1355.65113 Int. J. Appl. Math. 29, No. 1, 105-126 (2016). MSC: 65M06 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Novikov, R. G. Explicit formulas and global uniqueness for phaseless inverse scattering in multidimensions. (English) Zbl 1338.81361 J. Geom. Anal. 26, No. 1, 346-359 (2016). Reviewer: Denis A. White (Toledo) MSC: 81U40 35P25 35J10 35R30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Edsberg, Lennart Introduction to computation and modeling for differential equations. 2nd edition. (English) Zbl 1338.65001 Hoboken, NJ: John Wiley & Sons (ISBN 978-1-119-01844-5/hbk; 978-1-119-01845-2/ebook). xi, 271 p. (2016). Reviewer: Dinh Nho Hào (Hanoi) MSC: 65-01 65M08 65M60 65N08 65N30 65L60 65Mxx 65Nxx 68W30 × Cite Format Result Cite Review PDF
Filiz, Ali; Sonmezoglu, Abdullah; Ekici, Mehmet; Duran, Durgun A new approach for soliton solutions of RLW equation and \((1+2)\)-dimensional nonlinear Schrödinger’s equation. (English) Zbl 1374.35332 Math. Rep., Buchar. 17(67), No. 1, 43-56 (2015). MSC: 35Q51 47J35 74J35 × Cite Format Result Cite Review PDF
Aguiar, V.; Guedes, I. Joint entropy of quantum damped harmonic oscillators. (English) Zbl 1395.81057 Physica A 401, 159-166 (2014). MSC: 81P45 × Cite Format Result Cite Review PDF Full Text: DOI
Yépez-Martínez, H.; Sosa, I. O.; Reyes, J. M. The sub-equation method and new travelling wave analytical solutions of nonlinear Schrödinger’s equation with Kerr law nonlinearity. (English) Zbl 1352.35168 Theor. Math. Appl. 4, No. 3, 53-78 (2014). MSC: 35Q55 35G20 35A35 35C07 35B20 78A60 × Cite Format Result Cite Review PDF
Abdel Latif, M. S. Bright and dark soliton solutions for the perturbed nonlinear schrödinger’s equation with Kerr law and non-Kerr law nonlinearity. (English) Zbl 1338.35402 Appl. Math. Comput. 247, 501-510 (2014). MSC: 35Q55 35C08 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Taghizadeh, N.; Mirzazadeh, Mohammad; Eslami, M.; Moradi, M. Exact travelling wave solutions for some complex nonlinear partial differential equations. (English) Zbl 1307.35267 Comput. Methods Differ. Equ. 2, No. 1, 11-18 (2014). MSC: 35Q53 65M70 35Q55 35G25 × Cite Format Result Cite Review PDF Full Text: Link
Jurdjević, Velimir Elastic problems and optimal control: integrable systems. (English) Zbl 1313.49002 Dragović, Vladimir (ed.) et al., Mechanics, integrability and control. Beograd: Matematički Institut SANU (ISBN 978-86-80593-48-7). Zbornik Radova (Beograd) 16(24), 91-140 (2013). Reviewer: Božidar Jovanović (Beograd) MSC: 49J15 37J35 74B20 93B27 × Cite Format Result Cite Review PDF
Hernandez-del-Valle, Gerardo On hitting times, Bessel bridges and Schrödinger’s equation. (English) Zbl 1317.60082 Bernoulli 19, No. 5A, 1559-1575 (2013). Reviewer: David Nualart (Lawrence) MSC: 60H30 60J65 35A08 35J10 35K05 35K99 35R37 × Cite Format Result Cite Review PDF Full Text: DOI arXiv arXiv
Yang, Wei; Sun, Jitao Finite-time stability of quantum systems governed by Schrödinger’s equation. (English) Zbl 1278.93196 Int. J. Control 86, No. 6, 1131-1136 (2013). MSC: 93D09 93D20 81Q93 35Q41 × Cite Format Result Cite Review PDF Full Text: DOI
Ernest, A. D.; Collins, M. P. Structural features of high-\(n\) gravitational eigenstates. (English) Zbl 1263.83068 Gravit. Cosmol. 18, No. 4, 242-248 (2012). MSC: 83C45 83C25 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
Taghizadeh, Nasir; Mirzazadeh, Mohammad The simplest equation method to study perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. (English) Zbl 1245.35121 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1493-1499 (2012). MSC: 35Q55 35G20 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Anjan; Milovic, Daniela; Kohl, Russell Optical soliton perturbation in a log-law medium with full nonlinearity by He’s semi-inverse variational principle. (English) Zbl 1242.65211 Inverse Probl. Sci. Eng. 20, No. 2, 227-232 (2012). MSC: 65M99 35Q55 78A60 × Cite Format Result Cite Review PDF Full Text: DOI
Withers, Christopher S.; Nadarajah, Saralees Further solutions to Schrödinger’s equation for the helium atom. (English) Zbl 1235.81074 Rep. Math. Phys. 67, No. 1, 33-37 (2011). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
de Gosson, Maurice A.; Hiley, Basil J. Imprints of the quantum world in classical mechanics. (English) Zbl 1235.81094 Found. Phys. 41, No. 9, 1415-1436 (2011). MSC: 81S10 53D50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taghizadeh, N.; Neirameh, A. New complex solutions for some special nonlinear partial differential systems. (English) Zbl 1231.35213 Comput. Math. Appl. 62, No. 4, 2037-2044 (2011). MSC: 35Q53 35Q55 35C07 × Cite Format Result Cite Review PDF Full Text: DOI
Deniz, Coşkun Semiclassical anomalies of the quantum mechanical systems and their modifications for the asymptotic matching. (English) Zbl 1219.81131 Ann. Phys. 326, No. 8, 1816-1838 (2011); erratum ibid. 371, 478-479 (2016). MSC: 81Q20 81Q10 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Zai-yun; Li, Yun-xiang; Liu, Zhen-hai; Miao, Xiu-jin New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity via modified trigonometric function series method. (English) Zbl 1220.65147 Commun. Nonlinear Sci. Numer. Simul. 16, No. 8, 3097-3106 (2011). MSC: 65M70 35Q55 35C10 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Daoyuan; Han, Zheng A Schrödinger equation with time-oscillating critical nonlinearity. (English) Zbl 1220.35139 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 14, 4698-4708 (2011). MSC: 35Q41 35B20 × Cite Format Result Cite Review PDF Full Text: DOI
Hurley, D. J.; Vandyck, M. A. \(\mathfrak{D}\)-differentiation in Hilbert space and the structure of quantum mechanics. II: Accelerated observers and fictitious forces. (English) Zbl 1214.81080 Found. Phys. 41, No. 4, 667-685 (2011). MSC: 81Q05 81S10 81P05 81R05 × Cite Format Result Cite Review PDF Full Text: DOI
Fang, Daoyuan; Xie, Jian; Cazenave, Thierry Multiscale asymptotic behavior of the Schrödinger equation. (English) Zbl 1215.35148 Funkc. Ekvacioj, Ser. Int. 54, No. 1, 69-94 (2011). MSC: 35Q55 35B40 35C05 × Cite Format Result Cite Review PDF Full Text: DOI
Khrennikov, Andrei Prequantum classical statistical field theory: Schrödinger dynamics of entangled systems as a classical stochastic process. (English) Zbl 1210.81026 Found. Phys. 41, No. 3, 317-329 (2011). MSC: 81Q05 81P40 81P05 81P20 × Cite Format Result Cite Review PDF Full Text: DOI
Cazenave, Thierry; Fang, Daoyuan; Han, Zheng Continuous dependence for NLS in fractional order spaces. (English) Zbl 1209.35124 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 1, 135-147 (2011). MSC: 35Q55 35B30 46E35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arabshahi, H.; Abadi, M. Rezaee Rokn Suggestion of proper boundary conditions to solving Schrödinger equation for different potentials by Runge-Kutta method. (English) Zbl 1343.65089 Deo, Narsingh (ed.) et al., Proceedings of the WSEAS international conference on applied computer science (ACS), Malta, September 15–17, 2010. Athens: WSEAS Press (ISBN 978-960-474-225-7). 145-148 (2010). MSC: 65L06 81Q05 × Cite Format Result Cite Review PDF
Zhang, Zai-Yun; Liu, Zhen-Hai; Miao, Xiu-Jin; Chen, Yue-Zhong New exact solutions to the perturbed nonlinear Schrödinger’s equation with Kerr law nonlinearity. (English) Zbl 1195.35283 Appl. Math. Comput. 216, No. 10, 3064-3072 (2010). MSC: 35Q55 81Q05 35A24 × Cite Format Result Cite Review PDF Full Text: DOI
Hwang, Feng-Nan; Wei, Zih-Hao; Huang, Tsung-Ming; Wang, Weichung A parallel additive Schwarz preconditioned Jacobi-Davidson algorithm for polynomial eigenvalue problems in quantum dot simulation. (English) Zbl 1187.65034 J. Comput. Phys. 229, No. 8, 2932-2947 (2010). MSC: 65F15 65Y05 65F08 × Cite Format Result Cite Review PDF Full Text: DOI
Asaithambi, Asai Numerical solution of the one-dimensional time-independent Schrödinger’s equation by recursive evaluation of derivatives. (English) Zbl 1186.65098 Appl. Math. Comput. 215, No. 12, 4400-4405 (2010). MSC: 65L10 34B05 34L40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Jian; Zhang, Linzi; Cazenave, Thierry A note on decay rates for Schrödinger’s equation. (English) Zbl 1180.35439 Proc. Am. Math. Soc. 138, No. 1, 199-207 (2010). MSC: 35Q41 35Q55 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Anjan; Milovic, Daniela Travelling wave solutions of the non-linear Schrödinger’s equation in non-Kerr law media. (English) Zbl 1221.78035 Commun. Nonlinear Sci. Numer. Simul. 14, No. 5, 1993-1998 (2009). MSC: 78A60 37K10 35Q51 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Anjan Perturbation of chiral solitons. (English) Zbl 1192.35142 Nucl. Phys., B 806, No. 3, 457-461 (2009). MSC: 35Q40 35Q51 35Q55 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Frazier, Michael; Verbitsky, Igor Solvability conditions for a discrete model of Schrödinger’s equation. (English) Zbl 1185.35042 Cialdea, Alberto (ed.) et al., Analysis, partial differential equations and applications. The Vladimir Maz’ya anniversary volume. Selected papers of the international workshop, Rome, Italy, June 30–July 3, 2008. Basel: Birkhäuser (ISBN 978-3-7643-9897-2/hbk; 978-3-7643-9898-9/ebook). Operator Theory: Advances and Applications 193, 65-80 (2009). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 45A05 × Cite Format Result Cite Review PDF
Poluéktov, Yu. M. On perturbation theory for an asymmetric anharmonic oscillator. (English. Russian original) Zbl 1175.81111 Russ. Phys. J. 52, No. 1, 33-45 (2009); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 2009, No. 1, 30-40 (2009). MSC: 81Q15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Lott, Dawn A.; Henriquez, Auris; Sturdevant, Benjamin J. M.; Biswas, Anjan A numerical study of optical soliton-like structures resulting from the nonlinear Schrödinger’s equation with square-root law nonlinearity. (English) Zbl 1156.78009 Appl. Math. Comput. 207, No. 2, 319-326 (2009). MSC: 78A60 35Q55 78M25 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Anjan Stochastic perturbation of solitons for Alfvén waves in plasmas. (English) Zbl 1221.35307 Commun. Nonlinear Sci. Numer. Simul. 13, No. 8, 1547-1553 (2008). MSC: 35Q51 35Q55 37K10 76X05 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmudov, Nurali M. An optimal control problem for Schrödinger’s equation with real-valued coefficient in the nonlinear part of the equation. (An optimal control problem for Schrodinger’s equation with real-valued coefficient in the nonlinear part of the equation.) (English) Zbl 1205.49007 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 29, 231-238 (2008). MSC: 49J20 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
Rigatos, Gerasimos G. Fuzzy automata and neural associative memories compatible with principles of quantum computation. (English) Zbl 1157.68374 Gammerman, A. (ed.), Artificial intelligence and applications. Machine learning. As part of the 26th IASTED international multi-conference on applied informatics. Calgary: International Association of Science and Technology for Development (IASTED); Anaheim, CA: Acta Press (ISBN 978-0-88986-710-9/CD-ROM). 364-369 (2008). MSC: 68Q10 68T05 68Q45 × Cite Format Result Cite Review PDF
Milovic, Daniela; Biswas, Anjan Doubly periodic solution for nonlinear Schrödinger’s equation with higher order polynomial law nonlinearity. (English) Zbl 1160.81375 Int. J. Theor. Phys. 47, No. 12, 3335-3340 (2008). MSC: 81Q05 35Q55 81-04 × Cite Format Result Cite Review PDF Full Text: DOI
Edsberg, Lennart Introduction to computation and modeling for differential equations. (English) Zbl 1154.65066 Hoboken, NJ: John Wiley & Sons (ISBN 978-0-470-27085-1/hbk). xvi, 235 p. (2008). Reviewer: Dinh Nho Hao (Hanoi) MSC: 65Mxx 65Nxx 65-01 68W30 × Cite Format Result Cite Review PDF
Kohl, Russell; Biswas, Anjan; Milovic, Daniela; Zerrad, Essaid Perturbation of Gaussian optical solitons in dispersion-managed fibers. (English) Zbl 1151.78013 Appl. Math. Comput. 199, No. 1, 250-258 (2008). MSC: 78A60 94A12 35Q55 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Antonić, Nenad; Lazar, Martin H-measures and variants applied to parabolic equations. (English) Zbl 1139.35310 J. Math. Anal. Appl. 343, No. 1, 207-225 (2008). MSC: 35B27 35K10 × Cite Format Result Cite Review PDF Full Text: DOI
Tcharie, Kokou; Some, Blaise; Hounkonnou, Norbert Pointwise error estimates of variational methods: Dirichlet’s problem solution for Schrödinger’s steady-state equation. (English) Zbl 1229.35055 Far East J. Appl. Math. 29, No. 2, 335-356 (2007). MSC: 35J25 35J20 35B45 × Cite Format Result Cite Review PDF
Zhao, Zhiqin; Kovvali, Narayan; Lin, Wenbin; Ahn, Chang-Hoi; Couchman, Luise; Carin, Lawrence Volumetric fast multipole method for modeling Schrödinger’s equation. (English) Zbl 1114.65361 J. Comput. Phys. 224, No. 2, 941-955 (2007). MSC: 65N35 65N38 65R20 35Q40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Biswas, Anjan; Konar, Swapan; Zerrad, Essaid Intra-channel collision of dual-power law optical solitons. (English) Zbl 1126.81334 Int. J. Theor. Phys. 46, No. 1, 161-173 (2007). MSC: 81V10 78A60 35Q55 81T80 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Wenbin; Kovvali, Narayan; Carin, Lawrence Pseudospectral method based on prolate spheroidal wave functions for semiconductor nanodevice simulation. (English) Zbl 1196.81068 Comput. Phys. Commun. 175, No. 2, 78-85 (2006). MSC: 81-08 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Parwani, Rajesh R. A physical axiomatic approach to Schrödinger’s equation. (English) Zbl 1106.81037 Int. J. Theor. Phys. 45, No. 10, 1901-1913 (2006). MSC: 81Q05 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, A. Dynamics of dual-power law optical solitons. (English) Zbl 1133.78001 Marinov, M. S. (ed.) et al., Applications of mathematics in engineering and economics. Proceedings of the 31st international conference, AMEE ’05, Sozopol, Bulgaria, June 5–10, 2005. Sofia: Softtrade (ISBN 954-334-032-3/pbk). 127-137 (2006). Reviewer: Alexander V. Gemintern (Haifa) MSC: 78A40 35Q51 35Q55 × Cite Format Result Cite Review PDF
Biswas, Anjan; Konar, Swapan Soliton-soliton interaction with Hamiltonian perturbations. (English) Zbl 1088.35068 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 13, No. 1, 117-146 (2006). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q60 35Q55 78A60 37K40 × Cite Format Result Cite Review PDF
Sonnier, W. J.; Christov, C. I. Strong coupling of Schrödinger equations: conservative scheme approach. (English) Zbl 1119.65396 Math. Comput. Simul. 69, No. 5-6, 514-525 (2005). MSC: 65M70 35Q55 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI
Parwani, Rajesh R. An information-theoretic link between spacetime symmetries and quantum linearity. (English) Zbl 1062.81010 Ann. Phys. 315, No. 2, 419-452 (2005). MSC: 81P15 81Q05 35Q55 81R40 94A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mitchell, William F.; Tiesinga, Eite Adaptive grid refinement for a model of two confined and interacting atoms. (English) Zbl 1062.65119 Appl. Numer. Math. 52, No. 2-3, 235-250 (2005). MSC: 65N25 65N50 × Cite Format Result Cite Review PDF Full Text: DOI
Tarasov, V. F. The Thomas-Fermi-Gombás atom models in which the electrons are grouped into \(n\)- and \(nl\)-shells and a calculation of the atomic form factor. (English) Zbl 1073.81682 Int. J. Mod. Phys. B 18, No. 3, 409-419 (2004). MSC: 81V45 33C90 × Cite Format Result Cite Review PDF Full Text: DOI
Tarasov, V. F. Exact numerical values of diagonal matrix elements \(\langle r^k\rangle_{nl}\), \(AS\,n\leq 8\) and \(-7\leq k\leq 4\), and the symmetry of Appell’s function \(F_2(1,1)\). (English) Zbl 1158.81331 Int. J. Mod. Phys. B 18, No. 23-24, 3177-3184 (2004). MSC: 81Q05 81V15 × Cite Format Result Cite Review PDF Full Text: DOI
Pavon, Michele Quantum Schrödinger bridges. (English) Zbl 1037.93075 Rantzer, Anders (ed.) et al., Directions in mathematical systems theory and optimization. Berlin: Springer (ISBN 3-540-00065-8/pbk). Lect. Notes Control Inf. Sci. 286, 227-238 (2003). Reviewer: A. Akutowicz (Berlin) MSC: 93E20 81P20 81P15 × Cite Format Result Cite Review PDF Full Text: arXiv
Biswas, Anjan Dynamics of optical solitons with dispersion-management. (English) Zbl 1001.78015 Chaos Solitons Fractals 14, No. 3, 447-468 (2002). MSC: 78A60 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Strini, G. Error sensitivity of a quantum simulator. I: A first example. (English) Zbl 0992.81014 Fortschr. Phys. 50, No. 2, 171-183 (2002). MSC: 81P68 68Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Capri, Anton Z. Nonrelativistic quantum mechanics. 3rd ed. (English) Zbl 1007.81002 Singapore: World Scientific. xvii, 522 p. (2002). Reviewer: A.Akutowicz (Berlin) MSC: 81-01 81Q10 81Q05 81Q15 47A70 47N50 81R05 81U05 × Cite Format Result Cite Review PDF
Carbó-Dorca, Ramon Inward matrix product algebra and calculus as tools to construct space–time frames of arbitrary dimensions. (English) Zbl 1021.81010 J. Math. Chem. 30, No. 2, 227-245 (2001). Reviewer: Chandra Shekhar Sharma (London) MSC: 81P99 00A79 81-08 81R15 × Cite Format Result Cite Review PDF Full Text: DOI
Piazzese, Franco On the wave description of particles. (English) Zbl 0984.83006 J. Nat. Geom. 20, No. 1-2, 105-118 (2001). MSC: 83A05 35J10 × Cite Format Result Cite Review PDF
Weigert, Stefan Reconstruction of quantum states and its conceptual implications. (English) Zbl 1012.81503 Doebner, H.-D. (ed.) et al., Trends in quantum mechanics. Proceedings of the international symposium on new insights in quantum physics fundamentals, experimental results and theoretical directions, Goslar, Germany, August 31-September 3, 1998. Singapore: World Scientific. 146-156 (2000). MSC: 81P15 81P05 81P68 × Cite Format Result Cite Review PDF Full Text: arXiv
Berest, Yuri; Veselov, Alexander On the structure of singularities of integrable Schrödinger operators. (English) Zbl 0969.47018 Lett. Math. Phys. 52, No. 2, 103-111 (2000). Reviewer: Miloslav Znojil (Řež) MSC: 47A68 35J10 47F05 47A40 58K05 32S25 13N10 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI
Llewellyn Smith, Stefan G. The asymptotic behaviour of Ramanujan’s integral and its application to two-dimensional diffusion-like equations. (English) Zbl 0948.35025 Eur. J. Appl. Math. 11, No. 1, 13-28 (2000). MSC: 35C15 35B40 × Cite Format Result Cite Review PDF Full Text: DOI
Pearle, Philip Collapse models. (English) Zbl 0979.81022 Breuer, Heinz-Peter (ed.) et al., Open systems and measurements in relativistic quantum theory. Proceedings of the workshop, held at the Istituto Italiano per gli Studi Filosofici, Naples, Italia, April 3-4, 1998. Berlin: Springer. Lect. Notes Phys. 526, 195-234 (1999). MSC: 81P15 × Cite Format Result Cite Review PDF Full Text: arXiv
Ord, G. N. Schrödinger’s equation without Born’s guidance. (English) Zbl 0963.82007 Chaos Solitons Fractals 9, No. 7, 1011-1024 (1998). MSC: 82B10 81Q05 82B41 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Claudio Outgoing states and resonant behaviour. (English) Zbl 0929.35122 Rebolledo, Rolando (ed.), Proceedings of the 2nd international workshop on stochastic analysis and mathematical physics, ANESTOC ’96, Viña del Mar, Chile, December 16–20, 1996. Singapore: World Scientific. 72-81 (1998). MSC: 35Q40 81U05 × Cite Format Result Cite Review PDF
Chebotarev, Alexander M.; Victorov, Dmitry V. Quantum stochastic processes arising the strong resolvent limits of the Schrödinger evolution in Fock space. (English) Zbl 0939.47061 Alicki, Robert (ed.) et al., Quantum probability. Workshop, Gdańsk, Poland, July 1-6, 1997. Warsaw: Polish Academy of Sciences, Institute of Mathematics, Banach Cent. Publ. 43, 119-133 (1998). Reviewer: Chandra Shekhar Sharma (London) MSC: 47N50 81S25 46L60 × Cite Format Result Cite Review PDF Full Text: EuDML
Northshield, Sam Positive solutions of Schrödinger’s equation on trees. (English) Zbl 0908.39001 J. Difference Equ. Appl. 4, No. 1, 59-66 (1998). Reviewer: Yang En-Hao (Guangzhou) MSC: 39A10 31C05 × Cite Format Result Cite Review PDF Full Text: DOI
Tzanakis, Constantinos Discovering by analogy: The case of Schrödinger’s equation. (English) Zbl 0913.35117 Eur. J. Phys. 19, No. 1, 69-75 (1998). MSC: 35Q40 00A35 × Cite Format Result Cite Review PDF Full Text: DOI