Benettin, Giancarlo; Orsatti, Giuseppe; Ponno, Antonio On the role of the integrable Toda model in one-dimensional molecular dynamics. (English) Zbl 07727646 J. Stat. Phys. 190, No. 8, Paper No. 131, 13 p. (2023). MSC: 37Kxx 82Bxx 82Cxx PDF BibTeX XML Cite \textit{G. Benettin} et al., J. Stat. Phys. 190, No. 8, Paper No. 131, 13 p. (2023; Zbl 07727646) Full Text: DOI arXiv
Feng, Wenhui; Zhu, Heng; Tang, Bing Intrinsic localized modes in a two-dimensional checkerboard ferromagnetic lattice. (English) Zbl 07727065 Int. J. Theor. Phys. 62, No. 8, Paper No. 163, 14 p. (2023). MSC: 37Kxx 82Cxx 35Qxx PDF BibTeX XML Cite \textit{W. Feng} et al., Int. J. Theor. Phys. 62, No. 8, Paper No. 163, 14 p. (2023; Zbl 07727065) Full Text: DOI arXiv
Rivas, Xavier; Torres, Daniel Lagrangian-Hamiltonian formalism for cocontact systems. (English) Zbl 1517.70026 J. Geom. Mech. 15, No. 1, 1-26 (2023). MSC: 70H03 70H05 70G45 PDF BibTeX XML Cite \textit{X. Rivas} and \textit{D. Torres}, J. Geom. Mech. 15, No. 1, 1--26 (2023; Zbl 1517.70026) Full Text: DOI arXiv
Bai, Jiejing; Ullah, Hassan; Li, Chun Energy-preserving methods for non-smooth nonlinear Schrödinger equations. (English) Zbl 07699005 Appl. Numer. Math. 185, 188-202 (2023). MSC: 65Mxx 65Pxx 35Qxx PDF BibTeX XML Cite \textit{J. Bai} et al., Appl. Numer. Math. 185, 188--202 (2023; Zbl 07699005) Full Text: DOI
de León, Manuel; Gaset, Jordi; Gràcia, Xavier; Muñoz-Lecanda, Miguel C.; Rivas, Xavier Time-dependent contact mechanics. (English) Zbl 07698603 Monatsh. Math. 201, No. 4, 1149-1183 (2023). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J55 37J06 37J39 53D05 53D10 53Z05 70H45 PDF BibTeX XML Cite \textit{M. de León} et al., Monatsh. Math. 201, No. 4, 1149--1183 (2023; Zbl 07698603) Full Text: DOI arXiv
Berntson, Bjorn K.; Fagerlund, Alexander A focusing-defocusing intermediate nonlinear Schrödinger system. (English) Zbl 1517.35200 Physica D 451, Article ID 133762, 26 p. (2023). MSC: 35Q55 35Q41 35C08 35E05 37K10 PDF BibTeX XML Cite \textit{B. K. Berntson} and \textit{A. Fagerlund}, Physica D 451, Article ID 133762, 26 p. (2023; Zbl 1517.35200) Full Text: DOI arXiv
Wang, Jialing; Wang, Tingchun; Wang, Yushun A new framework of convergence analysis for solving the general nonlinear Schrödinger equation using the Fourier pseudo-spectral method in two dimensions. (English) Zbl 07679220 Adv. Appl. Math. Mech. 15, No. 3, 786-813 (2023). MSC: 37Kxx 65Cxx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{J. Wang} et al., Adv. Appl. Math. Mech. 15, No. 3, 786--813 (2023; Zbl 07679220) Full Text: DOI
Yang, Dan-Yu; Tian, Bo; Shen, Yuan; Gao, Xiao-Tian Solitons, breathers and modulation instability for a higher-order coupled nonlinear Schrödinger system for the ultrashort optical pulses in a nonlinear medium. (English) Zbl 1511.35333 Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 59, 17 p. (2023). MSC: 35Q55 35Q41 35C08 78A60 37K35 35B35 PDF BibTeX XML Cite \textit{D.-Y. Yang} et al., Qual. Theory Dyn. Syst. 22, No. 2, Paper No. 59, 17 p. (2023; Zbl 1511.35333) Full Text: DOI
Yang, Kailong; Zhao, Zehua On scattering asymptotics for the 2D cubic resonant system. (English) Zbl 1504.35505 J. Differ. Equations 345, 447-484 (2023). MSC: 35Q55 35Q41 35R01 37K06 37L50 35A01 35A02 35B06 PDF BibTeX XML Cite \textit{K. Yang} and \textit{Z. Zhao}, J. Differ. Equations 345, 447--484 (2023; Zbl 1504.35505) Full Text: DOI arXiv
Wang, Haifeng; Zhang, Yufeng Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations. (English) Zbl 1504.35500 J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023). MSC: 35Q55 35Q41 35Q15 37K10 37K15 35C08 35B40 35P25 17B81 PDF BibTeX XML Cite \textit{H. Wang} and \textit{Y. Zhang}, J. Comput. Appl. Math. 420, Article ID 114812, 14 p. (2023; Zbl 1504.35500) Full Text: DOI
Chen, Ming Ming; Geng, Xian Guo; Wang, Ke Dong Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. (English) Zbl 1503.35206 Acta Math. Sin., Engl. Ser. 38, No. 11, 2090-2114 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDF BibTeX XML Cite \textit{M. M. Chen} et al., Acta Math. Sin., Engl. Ser. 38, No. 11, 2090--2114 (2022; Zbl 1503.35206) Full Text: DOI
de Lucas, Javier; Gràcia, Xavier; Rivas, Xavier; Román-Roy, Narciso; Vilariño, Silvia Reduction and reconstruction of multisymplectic Lie systems. (English) Zbl 1507.34066 J. Phys. A, Math. Theor. 55, No. 29, Article ID 295204, 34 p. (2022). MSC: 34G20 53D05 53D20 37J37 37J65 70G65 PDF BibTeX XML Cite \textit{J. de Lucas} et al., J. Phys. A, Math. Theor. 55, No. 29, Article ID 295204, 34 p. (2022; Zbl 1507.34066) Full Text: DOI arXiv
Chen, Mingming; Geng, Xianguo; Wang, Kedong; Xue, Bo Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367 Commun. Pure Appl. Anal. 21, No. 9, 3171-3191 (2022). MSC: 35Q55 35Q41 35Q15 35B40 37K15 41A60 PDF BibTeX XML Cite \textit{M. Chen} et al., Commun. Pure Appl. Anal. 21, No. 9, 3171--3191 (2022; Zbl 1501.35367) Full Text: DOI
Babajanov, Bazar Atajanovich; Azamatov, Azizbek Shavkatovich Integration of the Kaup-Boussinesq system with a self-consistent source via inverse scattering method. (English) Zbl 1516.35293 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 32, No. 2, 153-170 (2022). Reviewer: Jiři Lipovský (Hradec Králové) MSC: 35P25 34L25 35Q41 37K10 35R30 34M46 PDF BibTeX XML Cite \textit{B. A. Babajanov} and \textit{A. S. Azamatov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 32, No. 2, 153--170 (2022; Zbl 1516.35293) Full Text: DOI MNR
Gu, Anjiao; He, Yang; Sun, Yajuan Hamiltonian particle-in-cell methods for Vlasov-Poisson equations. (English) Zbl 07568566 J. Comput. Phys. 467, Article ID 111472, 20 p. (2022). MSC: 35Qxx 65Mxx 82Cxx PDF BibTeX XML Cite \textit{A. Gu} et al., J. Comput. Phys. 467, Article ID 111472, 20 p. (2022; Zbl 07568566) Full Text: DOI arXiv
Chen, Jinbing; Zhen, Yanpei The complex Hamiltonian system in the Gerdjikov-Ivanov equation and its applications. (English) Zbl 1504.35467 Anal. Math. Phys. 12, No. 4, Paper No. 100, 31 p. (2022). MSC: 35Q55 35Q41 35C08 35C20 37K10 37K15 14H42 14H70 35B10 PDF BibTeX XML Cite \textit{J. Chen} and \textit{Y. Zhen}, Anal. Math. Phys. 12, No. 4, Paper No. 100, 31 p. (2022; Zbl 1504.35467) Full Text: DOI
Lazarotto, Matheus J.; Caldas, Iberê L.; Elskens, Yves Diffusion transitions in a 2D periodic lattice. (English) Zbl 07540485 Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106525, 18 p. (2022). MSC: 82Cxx 37Dxx 65Lxx PDF BibTeX XML Cite \textit{M. J. Lazarotto} et al., Commun. Nonlinear Sci. Numer. Simul. 112, Article ID 106525, 18 p. (2022; Zbl 07540485) Full Text: DOI arXiv
Duran, Henry; Cuevas-Maraver, Jesús; Kevrekidis, Panayotis G.; Vainchtein, Anna Moving discrete breathers in a \(\beta\)-FPU lattice revisited. (English) Zbl 07526843 Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022). MSC: 82Cxx 37Kxx 65Lxx PDF BibTeX XML Cite \textit{H. Duran} et al., Commun. Nonlinear Sci. Numer. Simul. 111, Article ID 106435, 15 p. (2022; Zbl 07526843) Full Text: DOI arXiv
Zhang, Dongfeng; Wu, Hao On the reducibility of two-dimensional quasi-periodic systems with Liouvillean basic frequencies and without non-degeneracy condition. (English) Zbl 07514713 J. Differ. Equations 324, 1-40 (2022). MSC: 70H08 70H12 37J40 35Q41 PDF BibTeX XML Cite \textit{D. Zhang} and \textit{H. Wu}, J. Differ. Equations 324, 1--40 (2022; Zbl 07514713) Full Text: DOI
Komech, Alexander I. On quantum jumps and attractors of the Maxwell-Schrödinger equations. (English. French summary) Zbl 1498.35456 Ann. Math. Qué. 46, No. 1, 139-159 (2022). MSC: 35Q40 35Q55 35Q41 35Q60 35L70 35P30 35B20 35B41 35C08 78A45 47J10 47J35 37K06 35R03 PDF BibTeX XML Cite \textit{A. I. Komech}, Ann. Math. Qué. 46, No. 1, 139--159 (2022; Zbl 1498.35456) Full Text: DOI arXiv
Li, Xing-Lan; Guo, Rui Solitons, breathers coexist with rogue waves for a higher-order coupled nonlinear Schrödinger system. (English) Zbl 1509.35282 Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106244, 16 p. (2022). MSC: 35Q55 35Q41 35C08 35A20 37K10 PDF BibTeX XML Cite \textit{X.-L. Li} and \textit{R. Guo}, Commun. Nonlinear Sci. Numer. Simul. 108, Article ID 106244, 16 p. (2022; Zbl 1509.35282) Full Text: DOI
Wang, Xin; Wang, Lei; Liu, Chong; Guo, Bowen; Wei, Jiao Rogue waves, semirational rogue waves and W-shaped solitons in the three-level coupled Maxwell-Bloch equations. (English) Zbl 1481.78025 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022). MSC: 78A60 35Q60 35Q55 35Q41 35C08 37K10 37K35 81V45 PDF BibTeX XML Cite \textit{X. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106172, 23 p. (2022; Zbl 1481.78025) Full Text: DOI
Tian, He-Yuan; Tian, Bo; Sun, Yan; Zhang, Chen-Rong Three-component coupled nonlinear Schrödinger system in a multimode optical fiber: Darboux transformation induced via a rank-two projection matrix. (English) Zbl 1508.35160 Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106097, 21 p. (2022). MSC: 35Q55 35Q41 78A60 37K35 35B40 35C08 PDF BibTeX XML Cite \textit{H.-Y. Tian} et al., Commun. Nonlinear Sci. Numer. Simul. 107, Article ID 106097, 21 p. (2022; Zbl 1508.35160) Full Text: DOI
An, Dong; Cheng, Sara Y.; Head-Gordon, Teresa; Lin, Lin; Lu, Jianfeng Convergence of stochastic-extended Lagrangian molecular dynamics method for polarizable force field simulation. (English) Zbl 07505948 J. Comput. Phys. 438, Article ID 110338, 25 p. (2021). MSC: 60Jxx 60Hxx 82Cxx PDF BibTeX XML Cite \textit{D. An} et al., J. Comput. Phys. 438, Article ID 110338, 25 p. (2021; Zbl 07505948) Full Text: DOI arXiv
Croydon, David A.; Sasada, Makiko Generalized hydrodynamic limit for the box-ball system. (English) Zbl 1479.82044 Commun. Math. Phys. 383, No. 1, 427-463 (2021). Reviewer: Anatoliy K. Prykarpatsky (Kraków) MSC: 82C22 37K40 82C23 82C70 35C08 35Q53 PDF BibTeX XML Cite \textit{D. A. Croydon} and \textit{M. Sasada}, Commun. Math. Phys. 383, No. 1, 427--463 (2021; Zbl 1479.82044) Full Text: DOI arXiv
Jiang, Chaolong; Wang, Yushun; Gong, Yuezheng Explicit high-order energy-preserving methods for general Hamiltonian partial differential equations. (English) Zbl 1456.65090 J. Comput. Appl. Math. 388, Article ID 113298, 17 p. (2021). MSC: 65M22 65L06 65M70 65N35 35Q55 35Q41 PDF BibTeX XML Cite \textit{C. Jiang} et al., J. Comput. Appl. Math. 388, Article ID 113298, 17 p. (2021; Zbl 1456.65090) Full Text: DOI arXiv
Borisov, A. V.; Tsiganov, A. V.; Mikishanina, E. A. On inhomogeneous nonholonomic Bilimovich system. (English) Zbl 1455.37053 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021). MSC: 37J60 70F25 70E40 PDF BibTeX XML Cite \textit{A. V. Borisov} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105573, 12 p. (2021; Zbl 1455.37053) Full Text: DOI arXiv
Kozlov, Valery V. Nonequilibrium statistical mechanics of weakly ergodic systems. (English) Zbl 1471.82007 Regul. Chaotic Dyn. 25, No. 6, 674-688 (2020). MSC: 82C03 82C23 82C40 PDF BibTeX XML Cite \textit{V. V. Kozlov}, Regul. Chaotic Dyn. 25, No. 6, 674--688 (2020; Zbl 1471.82007) Full Text: DOI
Gerdjikov, Vladimir S.; Todorov, Michail D. On asymptotic dynamical regimes of Manakov \(N\)-soliton trains in adiabatic approximation. (English) Zbl 07334126 J. Sib. Fed. Univ., Math. Phys. 13, No. 6, 678-693 (2020). MSC: 37Kxx 82Cxx PDF BibTeX XML Cite \textit{V. S. Gerdjikov} and \textit{M. D. Todorov}, J. Sib. Fed. Univ., Math. Phys. 13, No. 6, 678--693 (2020; Zbl 07334126) Full Text: DOI arXiv MNR
Xia, Baoqiang The massive Thirring system in the quarter plane. (English) Zbl 1460.35309 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2387-2416 (2020). MSC: 35Q41 37K15 37K35 PDF BibTeX XML Cite \textit{B. Xia}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 5, 2387--2416 (2020; Zbl 1460.35309) Full Text: DOI arXiv
Didov, A. A.; Uleysky, M. Yu.; Budyansky, M. V. Stable and unstable periodic orbits and their bifurcations in the nonlinear dynamical system with a fixed point vortex in a periodic flow. (English) Zbl 1454.35278 Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105426, 13 p. (2020). MSC: 35Q35 76D17 35B32 37D45 37G15 82C40 PDF BibTeX XML Cite \textit{A. A. Didov} et al., Commun. Nonlinear Sci. Numer. Simul. 91, Article ID 105426, 13 p. (2020; Zbl 1454.35278) Full Text: DOI
Ioannou-Sougleridis, Ioannis; Frantzeskakis, Dimitrios J.; Horikis, Theodoros P. A Davey-Stewartson description of two-dimensional solitons in nonlocal media. (English) Zbl 1454.35342 Stud. Appl. Math. 144, No. 1, 3-17 (2020). MSC: 35Q55 35Q41 35Q51 37K10 35C08 35B40 PDF BibTeX XML Cite \textit{I. Ioannou-Sougleridis} et al., Stud. Appl. Math. 144, No. 1, 3--17 (2020; Zbl 1454.35342) Full Text: DOI
Vakhnenko, Oleksiy O. Nonlinear integrable systems containing the canonical subsystems of distinct physical origins. (English) Zbl 1448.81361 Phys. Lett., A 384, No. 3, Article ID 126081, 9 p. (2020). MSC: 81R12 82B23 82C23 82B20 37K10 PDF BibTeX XML Cite \textit{O. O. Vakhnenko}, Phys. Lett., A 384, No. 3, Article ID 126081, 9 p. (2020; Zbl 1448.81361) Full Text: DOI
Xiao, Rui-jie; Pan, Gui-xia; Liu, Ye Tunable multicolor optomechanically induced transparency in multi-cavity optomechanical system. (English) Zbl 1450.81077 Int. J. Theor. Phys. 59, No. 10, 3256-3267 (2020). MSC: 81V80 82D80 81Q10 82C31 PDF BibTeX XML Cite \textit{R.-j. Xiao} et al., Int. J. Theor. Phys. 59, No. 10, 3256--3267 (2020; Zbl 1450.81077) Full Text: DOI
Wang, Qi; Liu, Chungen An index theory with applications to homoclinic orbits of Hamiltonian systems and Dirac equations. (English) Zbl 1446.49028 J. Dyn. Differ. Equations 32, No. 3, 1177-1201 (2020). Reviewer: Ernö Robert Csetnek (Wien) MSC: 49N15 58E05 47J30 47A75 37J51 35Q41 PDF BibTeX XML Cite \textit{Q. Wang} and \textit{C. Liu}, J. Dyn. Differ. Equations 32, No. 3, 1177--1201 (2020; Zbl 1446.49028) Full Text: DOI arXiv
Pelinovsky, Dmitry E.; Schneider, Guido The monoatomic FPU system as a limit of a diatomic FPU system. (English) Zbl 1442.35456 Appl. Math. Lett. 107, Article ID 106387, 7 p. (2020). MSC: 35Q82 82C20 37K40 37K60 PDF BibTeX XML Cite \textit{D. E. Pelinovsky} and \textit{G. Schneider}, Appl. Math. Lett. 107, Article ID 106387, 7 p. (2020; Zbl 1442.35456) Full Text: DOI arXiv
An, Dong; Lin, Lin Quantum dynamics with the parallel transport gauge. (English) Zbl 1440.65113 Multiscale Model. Simul. 18, No. 2, 612-645 (2020). MSC: 65M20 65M15 35Q41 35Q55 65P10 81V70 81Q05 35B25 35Q49 82M36 78A60 81V55 PDF BibTeX XML Cite \textit{D. An} and \textit{L. Lin}, Multiscale Model. Simul. 18, No. 2, 612--645 (2020; Zbl 1440.65113) Full Text: DOI arXiv
Lemou, M.; Luz, A. M.; Méhats, F. Nonlinear instability of inhomogeneous steady states solutions to the HMF model. (English) Zbl 1434.82057 J. Stat. Phys. 178, No. 3, 645-665 (2020). MSC: 82C22 35Q83 35Q60 78A25 35B35 PDF BibTeX XML Cite \textit{M. Lemou} et al., J. Stat. Phys. 178, No. 3, 645--665 (2020; Zbl 1434.82057) Full Text: DOI arXiv
Neiss, R. A.; Pickl, P. A mean field limit for the Hamiltonian Vlasov system. (English) Zbl 1442.82016 J. Stat. Phys. 178, No. 2, 472-498 (2020). MSC: 82C22 81V70 35Q83 35Q40 PDF BibTeX XML Cite \textit{R. A. Neiss} and \textit{P. Pickl}, J. Stat. Phys. 178, No. 2, 472--498 (2020; Zbl 1442.82016) Full Text: DOI arXiv
Martel, Yvan; Nguyến, Tiễn Vinh Construction of 2-solitons with logarithmic distance for the one-dimensional cubic Schrödinger system. (English) Zbl 1439.35442 Discrete Contin. Dyn. Syst. 40, No. 3, 1595-1620 (2020). MSC: 35Q55 37K40 35B40 37K10 35Q41 35C08 PDF BibTeX XML Cite \textit{Y. Martel} and \textit{T. V. Nguyến}, Discrete Contin. Dyn. Syst. 40, No. 3, 1595--1620 (2020; Zbl 1439.35442) Full Text: DOI arXiv
Birrell, Jeremiah; Wehr, Jan A homogenization theorem for Langevin systems with an application to Hamiltonian dynamics. (English) Zbl 1446.82063 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. I. Spin glasses and statistical mechanics, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 298, 89-122 (2019). MSC: 82C31 35B27 35R60 35Q84 PDF BibTeX XML Cite \textit{J. Birrell} and \textit{J. Wehr}, Springer Proc. Math. Stat. 298, 89--122 (2019; Zbl 1446.82063) Full Text: DOI arXiv
Ji, Min; Qi, Weiwei; Shen, Zhongwei; Yi, Yingfei Existence of periodic probability solutions to Fokker-Planck equations with applications. (English) Zbl 1428.35600 J. Funct. Anal. 277, No. 11, Article ID 108281, 41 p. (2019). MSC: 35Q84 35J25 37B25 60J60 82C31 60H15 PDF BibTeX XML Cite \textit{M. Ji} et al., J. Funct. Anal. 277, No. 11, Article ID 108281, 41 p. (2019; Zbl 1428.35600) Full Text: DOI
Assainova, O.; Klein, C.; McLaughlin, K. D. T.-R.; Miller, P. D. A study of the direct spectral transform for the defocusing Davey-Stewartson II equation the semiclassical limit. (English) Zbl 1420.35339 Commun. Pure Appl. Math. 72, No. 7, 1474-1547 (2019). MSC: 35Q55 37K15 35Q41 35C05 65T50 35B40 35B25 PDF BibTeX XML Cite \textit{O. Assainova} et al., Commun. Pure Appl. Math. 72, No. 7, 1474--1547 (2019; Zbl 1420.35339) Full Text: DOI arXiv
Pechersky, E. A.; Pirogov, S. A.; Schütz, G. M.; Vladimirov, A. A.; Yambartsev, A. A. Large fluctuations in two-level systems with stimulated emission. (English. Russian original) Zbl 1419.81046 Theor. Math. Phys. 198, No. 1, 118-128 (2019); translation from Teor. Mat. Fiz. 198, No. 1, 133-144 (2019). MSC: 81V80 81V70 82C22 82C31 60F10 60J25 PDF BibTeX XML Cite \textit{E. A. Pechersky} et al., Theor. Math. Phys. 198, No. 1, 118--128 (2019; Zbl 1419.81046); translation from Teor. Mat. Fiz. 198, No. 1, 133--144 (2019) Full Text: DOI arXiv
Cai, Jiaxiang; Yang, Bin; Zhang, Chun Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system. (English) Zbl 1435.65171 Appl. Math. Lett. 91, 76-82 (2019). Reviewer: Song Jiang (Beijing) MSC: 65M70 65M06 65T50 65P10 35Q41 35Q35 PDF BibTeX XML Cite \textit{J. Cai} et al., Appl. Math. Lett. 91, 76--82 (2019; Zbl 1435.65171) Full Text: DOI
Kong, Qingkai; Zafer, Ağacık Lower bounds for the eigenvalues of first-order nonlinear Hamiltonian systems on time scales. (English) Zbl 1408.34073 Appl. Math. Lett. 90, 154-161 (2019). MSC: 34N05 34B08 34B09 37J99 39A10 PDF BibTeX XML Cite \textit{Q. Kong} and \textit{A. Zafer}, Appl. Math. Lett. 90, 154--161 (2019; Zbl 1408.34073) Full Text: DOI
Gauckler, Ludwig; Hairer, Ernst; Lubich, Christian Dynamics, numerical analysis, and some geometry. (English) Zbl 1451.62056 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 453-485 (2018). MSC: 62H12 37M15 34A26 65P10 81T32 PDF BibTeX XML Cite \textit{L. Gauckler} et al., in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 453--485 (2018; Zbl 1451.62056) Full Text: DOI arXiv
Cai, Jiaxiang; Bai, Chuanzhi; Zhang, Haihui Efficient schemes for the coupled Schrödinger-KdV equations: decoupled and conserving three invariants. (English) Zbl 1412.65163 Appl. Math. Lett. 86, 200-207 (2018). MSC: 65M70 65M06 37J15 35Q41 35Q35 PDF BibTeX XML Cite \textit{J. Cai} et al., Appl. Math. Lett. 86, 200--207 (2018; Zbl 1412.65163) Full Text: DOI
Jovanović, Božidar Symmetries of line bundles and Noether theorem for time-dependent nonholonomic systems. (English) Zbl 1407.37088 J. Geom. Mech. 10, No. 2, 173-187 (2018). MSC: 37J15 37J60 70F25 70H25 70H33 PDF BibTeX XML Cite \textit{B. Jovanović}, J. Geom. Mech. 10, No. 2, 173--187 (2018; Zbl 1407.37088) Full Text: DOI arXiv
Rogatkin, A. D. Continuous-time Granovetter model. (English. Russian original) Zbl 1400.91505 Autom. Remote Control 79, No. 6, 1125-1138 (2018); translation from Upravl. Bol’sh. Sist. 2016, No. 60, 139-160 (2016). MSC: 91D99 35Q41 37N40 PDF BibTeX XML Cite \textit{A. D. Rogatkin}, Autom. Remote Control 79, No. 6, 1125--1138 (2018; Zbl 1400.91505); translation from Upravl. Bol'sh. Sist. 2016, No. 60, 139--160 (2016) Full Text: DOI
Hu, Jiashun; Ma, Xiang; Zheng, Chunxiong Global geometrical optics method for vector-valued Schrödinger problems. (English) Zbl 1405.35178 Front. Math. China 13, No. 3, 579-606 (2018). MSC: 35Q41 34E20 35S10 20C35 78A05 PDF BibTeX XML Cite \textit{J. Hu} et al., Front. Math. China 13, No. 3, 579--606 (2018; Zbl 1405.35178) Full Text: DOI
Rougerie, Nicolas; Spehner, Dominique Interacting bosons in a double-well potential: localization regime. (English) Zbl 1397.82060 Commun. Math. Phys. 361, No. 2, 737-786 (2018). MSC: 82D50 82C22 82B26 81V70 35Q82 PDF BibTeX XML Cite \textit{N. Rougerie} and \textit{D. Spehner}, Commun. Math. Phys. 361, No. 2, 737--786 (2018; Zbl 1397.82060) Full Text: DOI arXiv
Comech, Andrew; Stuart, David Small amplitude solitary waves in the Dirac-Maxwell system. (English) Zbl 1394.35109 Commun. Pure Appl. Anal. 17, No. 4, 1349-1370 (2018). MSC: 35C08 35Q41 37K40 81Q05 37N20 PDF BibTeX XML Cite \textit{A. Comech} and \textit{D. Stuart}, Commun. Pure Appl. Anal. 17, No. 4, 1349--1370 (2018; Zbl 1394.35109) Full Text: DOI arXiv
Boussïd, Nabile; Comech, Andrew Spectral stability of bi-frequency solitary waves in Soler and Dirac-Klein-Gordon models. (English) Zbl 1393.35196 Commun. Pure Appl. Anal. 17, No. 4, 1331-1347 (2018). MSC: 35Q41 35C08 37K40 81Q05 37N20 PDF BibTeX XML Cite \textit{N. Boussïd} and \textit{A. Comech}, Commun. Pure Appl. Anal. 17, No. 4, 1331--1347 (2018; Zbl 1393.35196) Full Text: DOI arXiv
Kirichuka, A. Multiple solutions of boundary-value problems for Hamiltonian systems. (English) Zbl 1395.34028 J. Math. Sci., New York 231, No. 6, 730-744 (2018) and Neliniĭni Kolyvannya 20, No. 2, 184-197 (2017). MSC: 34B08 34C23 37J20 PDF BibTeX XML Cite \textit{A. Kirichuka}, J. Math. Sci., New York 231, No. 6, 730--744 (2018; Zbl 1395.34028) Full Text: DOI Link
Birrell, Jeremiah; Wehr, Jan Homogenization of dissipative, noisy, Hamiltonian dynamics. (English) Zbl 1391.60131 Stochastic Processes Appl. 128, No. 7, 2367-2403 (2018). MSC: 60H10 82C31 PDF BibTeX XML Cite \textit{J. Birrell} and \textit{J. Wehr}, Stochastic Processes Appl. 128, No. 7, 2367--2403 (2018; Zbl 1391.60131) Full Text: DOI arXiv Link
Carati, A.; Ponno, A. Chopping time of the FPU \({\alpha }\)-model. (English) Zbl 1391.82038 J. Stat. Phys. 170, No. 5, 883-894 (2018). MSC: 82C22 82-08 65P10 PDF BibTeX XML Cite \textit{A. Carati} and \textit{A. Ponno}, J. Stat. Phys. 170, No. 5, 883--894 (2018; Zbl 1391.82038) Full Text: DOI arXiv
Zubelevich, Oleg Linear Hamiltonian system in scale of Hilbert spaces and the Poincaré recurrence theorem. (English) Zbl 1474.37082 Mat. Vesn. 69, No. 4, 259-270 (2017). MSC: 37K06 35L05 35Q41 35R11 PDF BibTeX XML Cite \textit{O. Zubelevich}, Mat. Vesn. 69, No. 4, 259--270 (2017; Zbl 1474.37082) Full Text: Link
Gianfreda, Mariagiovanna; Landolfi, Giulio Nonautonomous Hamiltonian quantum systems, operator equations, and representations of the Bender-Dunne Weyl-ordered basis under time-dependent canonical transformations. (English. Russian original) Zbl 1387.81208 Theor. Math. Phys. 193, No. 1, 1444-1463 (2017); translation from Teor. Mat. Fiz. 193, No. 1, 41-64 (2017). MSC: 81Q05 35Q41 70H15 81S30 PDF BibTeX XML Cite \textit{M. Gianfreda} and \textit{G. Landolfi}, Theor. Math. Phys. 193, No. 1, 1444--1463 (2017; Zbl 1387.81208); translation from Teor. Mat. Fiz. 193, No. 1, 41--64 (2017) Full Text: DOI arXiv
Ducatez, Raphael; Huveneers, François Anderson localization for periodically driven systems. (English) Zbl 1383.82050 Ann. Henri Poincaré 18, No. 7, 2415-2446 (2017). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82C44 82C20 35Q41 35B40 PDF BibTeX XML Cite \textit{R. Ducatez} and \textit{F. Huveneers}, Ann. Henri Poincaré 18, No. 7, 2415--2446 (2017; Zbl 1383.82050) Full Text: DOI arXiv Link
Šverák, Vladimír Aspects of PDEs related to fluid flows. (English) Zbl 1372.35004 Marcellini, Paolo (ed.) et al., Vector-valued partial differential equations and applications. Cetraro, Italy, July 8–12, 2013. Cham: Springer; Florence: Fondazione CIME (ISBN 978-3-319-54513-4/pbk; 978-3-319-54514-1/ebook). Lecture Notes in Mathematics 2179. CIME Foundation Subseries, 195-248 (2017). MSC: 35-02 35Q31 35Q55 35Q53 76D05 35B38 35Q30 35A15 37A60 37K05 82C40 35D30 PDF BibTeX XML Cite \textit{V. Šverák}, Lect. Notes Math. 2179, 195--248 (2017; Zbl 1372.35004) Full Text: DOI
Colombo, Maria Flows of non-smooth vector fields and degenerate elliptic equations. With applications to the Vlasov-Poisson and semigeostrophic systems. (English) Zbl 1417.37010 Tesi. Scuola Normale Superiore di Pisa (Nuova Serie) 22. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Diss. 2015) (ISBN 978-88-7642-606-3/pbk; 978-88-7642-607-0/ebook). xxiii, 269 p. (2017). MSC: 37-02 37N10 37K05 82C70 35Q35 PDF BibTeX XML Cite \textit{M. Colombo}, Flows of non-smooth vector fields and degenerate elliptic equations. With applications to the Vlasov-Poisson and semigeostrophic systems. Pisa: Edizioni della Normale; Pisa: Scuola Normale Superiore (Diss. 2015) (2017; Zbl 1417.37010) Full Text: DOI Link
Bialy, Misha On Newton equations which are totally integrable at infinity. (English) Zbl 1347.37111 Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 51, 8 p. (2016). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J50 53C24 PDF BibTeX XML Cite \textit{M. Bialy}, Calc. Var. Partial Differ. Equ. 55, No. 3, Paper No. 51, 8 p. (2016; Zbl 1347.37111) Full Text: DOI arXiv
Blanes, Sergio; Casas, Fernando A concise introduction to geometric numerical integration. (English) Zbl 1343.65146 Monographs and Research Notes in Mathematics. Boca Raton, FL: CRC Press (ISBN 978-1-4822-6342-8/hbk; 978-1-4822-6344-2/ebook). xiv, 218 p. (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65P10 65M06 65M70 70F05 70H05 00A06 65-02 37M15 65L06 65L60 35K20 65L70 35Q41 PDF BibTeX XML Cite \textit{S. Blanes} and \textit{F. Casas}, A concise introduction to geometric numerical integration. Boca Raton, FL: CRC Press (2016; Zbl 1343.65146) Full Text: DOI
Guzev, M. A.; Izrailsky, Yu. G.; Koshel, K. V.; Dyskin, A. V.; Pasternak, E. The influence of multiple frequency perturbations on particle chaotization in a cell. (English) Zbl 1351.82048 Commun. Nonlinear Sci. Numer. Simul. 23, No. 1-3, 28-38 (2015). MSC: 82C22 37D45 PDF BibTeX XML Cite \textit{M. A. Guzev} et al., Commun. Nonlinear Sci. Numer. Simul. 23, No. 1--3, 28--38 (2015; Zbl 1351.82048) Full Text: DOI
Lykov, A. A.; Malyshev, V. A. A new approach to Boltzmann’s ergodic hypothesis. (English. Russian original) Zbl 1360.37152 Dokl. Math. 92, No. 2, 624-626 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 532-534 (2015). MSC: 37J40 35Q20 76P05 37A60 82C05 82C40 82C70 PDF BibTeX XML Cite \textit{A. A. Lykov} and \textit{V. A. Malyshev}, Dokl. Math. 92, No. 2, 624--626 (2015; Zbl 1360.37152); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 5, 532--534 (2015) Full Text: DOI
Roy, Anjan; Dhar, Abhishek; Narayan, Onuttom; Sabhapandit, Sanjib Tagged particle diffusion in one-dimensional systems with Hamiltonian dynamics-II. (English) Zbl 1320.82041 J. Stat. Phys. 160, No. 1, 73-88 (2015). MSC: 82C21 82C22 82D05 PDF BibTeX XML Cite \textit{A. Roy} et al., J. Stat. Phys. 160, No. 1, 73--88 (2015; Zbl 1320.82041) Full Text: DOI arXiv
Tong, Hui; Kong, Linghua; Wang, Lan A compact splitting multisymplectic scheme for Dirac equation. (Chinese. English summary) Zbl 1340.65308 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 38, No. 5, 521-525 (2014). MSC: 65P10 37M15 35Q41 PDF BibTeX XML Cite \textit{H. Tong} et al., J. Jiangxi Norm. Univ., Nat. Sci. Ed. 38, No. 5, 521--525 (2014; Zbl 1340.65308)
Messina, A.; Nakazato, H. Analytically solvable Hamiltonians for quantum two-level systems and their dynamics. (English) Zbl 1304.81076 J. Phys. A, Math. Theor. 47, No. 44, Article ID 445302, 10 p. (2014). MSC: 81Q05 81P45 81Q80 PDF BibTeX XML Cite \textit{A. Messina} and \textit{H. Nakazato}, J. Phys. A, Math. Theor. 47, No. 44, Article ID 445302, 10 p. (2014; Zbl 1304.81076) Full Text: DOI Link
Bernardin, Cédric; Gonçalves, Patrícia Anomalous fluctuations for a perturbed Hamiltonian system with exponential interactions. (English) Zbl 1307.82018 Commun. Math. Phys. 325, No. 1, 291-332 (2014). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 PDF BibTeX XML Cite \textit{C. Bernardin} and \textit{P. Gonçalves}, Commun. Math. Phys. 325, No. 1, 291--332 (2014; Zbl 1307.82018) Full Text: DOI arXiv
Buttà, Paolo; Cavallaro, Guido; Marchioro, Carlo Dynamics of infinitely extended hard core systems. (English) Zbl 1288.82039 Rep. Math. Phys. 72, No. 3, 369-377 (2013). MSC: 82C22 PDF BibTeX XML Cite \textit{P. Buttà} et al., Rep. Math. Phys. 72, No. 3, 369--377 (2013; Zbl 1288.82039) Full Text: DOI
Berns, Christoph; Kondratiev, Yuri; Kozitsky, Yuri; Kutoviy, Oleksandr Kawasaki dynamics in continuum: micro- and mesoscopic descriptions. (English) Zbl 1291.82075 J. Dyn. Differ. Equations 25, No. 4, 1027-1056 (2013). MSC: 82C22 37K10 PDF BibTeX XML Cite \textit{C. Berns} et al., J. Dyn. Differ. Equations 25, No. 4, 1027--1056 (2013; Zbl 1291.82075) Full Text: DOI arXiv
Del Moral, Pierre Mean field simulation for Monte Carlo integration. (English) Zbl 1282.65011 Monographs on Statistics and Applied Probability 126. Boca Raton, FL: CRC Press (ISBN 978-1-4665-0405-9/hbk; 978-1-138-19873-9/pbk; 978-1-4665-0417-2/ebook). xlvii, 578 p. (2013). Reviewer: Vassil Grozdanov (Blagoevgrad) MSC: 65C05 65C40 65C35 65C30 65C20 68U20 65-02 82C31 82C40 82C80 81Q30 94A12 60G35 81V70 PDF BibTeX XML Cite \textit{P. Del Moral}, Mean field simulation for Monte Carlo integration. Boca Raton, FL: CRC Press (2013; Zbl 1282.65011) Full Text: DOI
Gerasimenko, V. I. Hierarchies of quantum evolution equations and dynamics of many-particle correlations. (English) Zbl 1301.35120 Int. J. Evol. Equ. 7, No. 2, 109-163 (2012). MSC: 35Q40 35Q55 35B40 37K10 35Q82 82C21 PDF BibTeX XML Cite \textit{V. I. Gerasimenko}, Int. J. Evol. Equ. 7, No. 2, 109--163 (2012; Zbl 1301.35120)
Calogero, F. On a technique to identify solvable discrete-time many-body problems. (English. Russian original) Zbl 1284.82040 Theor. Math. Phys. 172, No. 2, 1052-1072 (2012); translation from Teor. Mat. Fiz. 172, No. 2, 198-223 (2012). MSC: 82C22 37K10 81V70 PDF BibTeX XML Cite \textit{F. Calogero}, Theor. Math. Phys. 172, No. 2, 1052--1072 (2012; Zbl 1284.82040); translation from Teor. Mat. Fiz. 172, No. 2, 198--223 (2012) Full Text: DOI
Sardanashvily, G. Time-dependent superintegrable Hamiltonian systems. (English) Zbl 1323.37035 Int. J. Geom. Methods Mod. Phys. 9, No. 8, Paper No. 1220016, 10 p. (2012). MSC: 37J05 70H06 37J35 PDF BibTeX XML Cite \textit{G. Sardanashvily}, Int. J. Geom. Methods Mod. Phys. 9, No. 8, Paper No. 1220016, 10 p. (2012; Zbl 1323.37035) Full Text: DOI
Li, Tatsien (ed.); Jiang, Song (ed.) Hyperbolic problems. Theory, numerics and applications. Vol. 1. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15–19, 2010. (English) Zbl 1255.35002 Series in Contemporary Applied Mathematics CAM 17. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (ISBN 978-981-4417-07-5/v.1; 978-981-4417-06-8/set). xv, 364 p. (2012). MSC: 35-06 35Lxx 35Qxx 37Kxx 65Pxx 74Sxx 76Mxx 82Cxx 00B25 PDF BibTeX XML Cite \textit{T. Li} (ed.) and \textit{S. Jiang} (ed.), Hyperbolic problems. Theory, numerics and applications. Vol. 1. Proceedings of the 13th international conference on hyperbolic problems, HYP 2010, Beijing, China, June 15--19, 2010. Hackensack, NJ: World Scientific; Beijing: Higher Education Press (2012; Zbl 1255.35002)
Buttà, Paolo; Cavallaro, Guido; Marchioro, Carlo Time evolution of two dimensional systems with infinitely many particles mutually interacting via very singular forces. (English) Zbl 1245.82044 J. Stat. Phys. 147, No. 2, 412-423 (2012). MSC: 82C22 60K35 PDF BibTeX XML Cite \textit{P. Buttà} et al., J. Stat. Phys. 147, No. 2, 412--423 (2012; Zbl 1245.82044) Full Text: DOI
Huang, Hong; Wang, Lan Local one-dimensional multisymplectic integrators for Schrödinger equations. (Chinese. English summary) Zbl 1265.65260 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 35, No. 5, 455-458 (2011). MSC: 65P10 65M60 37K15 37M15 35Q41 PDF BibTeX XML Cite \textit{H. Huang} and \textit{L. Wang}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 35, No. 5, 455--458 (2011; Zbl 1265.65260)
Guha, Partha; Ghose Choudhury, A. Hamiltonization of higher-order nonlinear ordinary differential equations and the Jacobi last multiplier. (English) Zbl 1229.34056 Acta Appl. Math. 116, No. 2, 179-197 (2011). MSC: 34C20 70H05 37J05 PDF BibTeX XML Cite \textit{P. Guha} and \textit{A. Ghose Choudhury}, Acta Appl. Math. 116, No. 2, 179--197 (2011; Zbl 1229.34056) Full Text: DOI
Wang, Lan; Chen, Jing A multisymplectic integrator for a two-dimensional Schrödinger equation. (Chinese. English summary) Zbl 1240.65367 J. Jiangxi Norm. Univ., Nat. Sci. Ed. 34, No. 6, 600-603, 608 (2010). MSC: 65P10 65M06 37M15 35Q41 PDF BibTeX XML Cite \textit{L. Wang} and \textit{J. Chen}, J. Jiangxi Norm. Univ., Nat. Sci. Ed. 34, No. 6, 600--603, 608 (2010; Zbl 1240.65367)
Polishchuk, D. O. BBGKY hierarchy of Fermi and Bose many-particle systems. (Ukrainian. English summary) Zbl 1224.82016 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 6, 27-33 (2010). MSC: 82C40 37K10 PDF BibTeX XML Cite \textit{D. O. Polishchuk}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2010, No. 6, 27--33 (2010; Zbl 1224.82016)
Yang, Jianke Nonlinear waves in integrable and nonintegrable systems. (English) Zbl 1234.35006 Mathematical Modeling and Computation 16. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-0-898717-05-1/pbk; 978-0-89871-968-0/ebook). xxvi, 430 p. (2010). Reviewer: Georg Hebermehl (Berlin) MSC: 35-02 37-02 65-02 35Q55 35Q41 35Q51 35J10 35P10 37K10 37K15 65N25 65N35 37K40 78A60 82C10 PDF BibTeX XML Cite \textit{J. Yang}, Nonlinear waves in integrable and nonintegrable systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2010; Zbl 1234.35006) Full Text: DOI
Costin, O.; Lebowitz, J. L.; Tanveer, S. Ionization of Coulomb systems in \(\mathbb R^3\) by time periodic forcings of arbitrary size. (English) Zbl 1209.37087 Commun. Math. Phys. 296, No. 3, 681-738 (2010). Reviewer: Jiansheng Geng (Nanjing) MSC: 37K40 35Q41 81Q05 PDF BibTeX XML Cite \textit{O. Costin} et al., Commun. Math. Phys. 296, No. 3, 681--738 (2010; Zbl 1209.37087) Full Text: DOI arXiv
Choi, Jeong Ryeol; Yeon, Kyu Hwang Time-dependent Wigner distribution function employed in squeezed Schrödinger cat state: \(|\Psi(t)\rangle = N^{-1/2}(|\beta\rangle+e^{i\phi}|-\beta\rangle)\). (English) Zbl 1179.81104 Int. J. Mod. Phys. B 23, No. 25, 5049-5066 (2009). MSC: 81S30 81Q10 81R30 PDF BibTeX XML Cite \textit{J. R. Choi} and \textit{K. H. Yeon}, Int. J. Mod. Phys. B 23, No. 25, 5049--5066 (2009; Zbl 1179.81104) Full Text: DOI
Yavari, Arash; Marsden, Jerrold E. Energy balance invariance for interacting particle systems. (English) Zbl 1171.70007 Z. Angew. Math. Phys. 60, No. 4, 723-738 (2009). MSC: 70F99 70G45 70H33 74A99 PDF BibTeX XML Cite \textit{A. Yavari} and \textit{J. E. Marsden}, Z. Angew. Math. Phys. 60, No. 4, 723--738 (2009; Zbl 1171.70007) Full Text: DOI
Tupper, Paul The relation between approximation in distribution and shadowing in molecular dynamics. (English) Zbl 1174.82009 SIAM J. Appl. Dyn. Syst. 8, No. 2, 734-755 (2009). Reviewer: Piotr Garbaczewski (Opole) MSC: 82C31 65P20 65P10 65L05 70F99 37C50 PDF BibTeX XML Cite \textit{P. Tupper}, SIAM J. Appl. Dyn. Syst. 8, No. 2, 734--755 (2009; Zbl 1174.82009) Full Text: DOI arXiv
Choi, Jeong Ryeol; Yeon, Kyu Hwang SU\((1,1)\) coherent states for the generalized two-mode time-dependent quadratic Hamiltonian system. (English) Zbl 1160.81399 Int. J. Theor. Phys. 47, No. 7, 1891-1910 (2008). MSC: 81R30 81Q05 81R05 PDF BibTeX XML Cite \textit{J. R. Choi} and \textit{K. H. Yeon}, Int. J. Theor. Phys. 47, No. 7, 1891--1910 (2008; Zbl 1160.81399) Full Text: DOI
Holm, Darryl D.; Putkaradze, Vakhtang; Tronci, Cesare Geometric gradient-flow dynamics with singular solutions. (English) Zbl 1155.76007 Physica D 237, No. 22, 2952-2965 (2008). MSC: 76D03 37K65 35L65 37N10 70F99 82C22 PDF BibTeX XML Cite \textit{D. D. Holm} et al., Physica D 237, No. 22, 2952--2965 (2008; Zbl 1155.76007) Full Text: DOI arXiv
Bogoliubov, Nikolai N. jun.; Blackmore, Denis L.; Samoylenko, Valeriy Hr.; Prykarpatsky, Anatoliy K. On kinetic Boltzmann equations and related hydrodynamic flows with dry viscosity. (English) Zbl 1159.82012 Opusc. Math. 27, No. 2, 187-195 (2007). Reviewer: Oleg A. Sinkevich (Moskva) MSC: 82C40 37K05 37N20 82D10 PDF BibTeX XML Cite \textit{N. N. Bogoliubov jun.} et al., Opusc. Math. 27, No. 2, 187--195 (2007; Zbl 1159.82012)
Lasser, Caroline; Swart, Torben; Teufel, Stefan Construction and validation of a rigorous surface hopping algorithm for conical crossing. (English) Zbl 1136.65094 Commun. Math. Sci. 5, No. 4, 789-814 (2007). MSC: 65M70 35Q55 37K10 PDF BibTeX XML Cite \textit{C. Lasser} et al., Commun. Math. Sci. 5, No. 4, 789--814 (2007; Zbl 1136.65094) Full Text: DOI Euclid
Choi, Jeong Ryeol; Oh, Jun-Young Comparison of corrected wave functions associated to two different approaches for the time-dependent Hamiltonian systems involving \((1/\hat{x})\hat{p}+\hat{p}(1/\hat{x})\) term. (English) Zbl 1133.81330 Int. J. Theor. Phys. 46, No. 10, 2591-2598 (2007). MSC: 81Q05 PDF BibTeX XML Cite \textit{J. R. Choi} and \textit{J.-Y. Oh}, Int. J. Theor. Phys. 46, No. 10, 2591--2598 (2007; Zbl 1133.81330) Full Text: DOI
Choi, Jeong Ryeol Wigner distribution function for the time-dependent quadratic-Hamiltonian quantum system using the Lewis-Riesenfeld invariant operator. (English) Zbl 1084.81050 Int. J. Theor. Phys. 44, No. 3, 327-348 (2005). Reviewer: Dimitar A. Kolev (Sofia) MSC: 81S30 81Q05 81R30 PDF BibTeX XML Cite \textit{J. R. Choi}, Int. J. Theor. Phys. 44, No. 3, 327--348 (2005; Zbl 1084.81050) Full Text: DOI
Engle, Robert D.; Skeel, Robert D.; Drees, Matthew Monitoring energy drift with shadow Hamiltonians. (English) Zbl 1070.65129 J. Comput. Phys. 206, No. 2, 432-452 (2005). MSC: 65P10 37M15 70-08 70H05 82C80 PDF BibTeX XML Cite \textit{R. D. Engle} et al., J. Comput. Phys. 206, No. 2, 432--452 (2005; Zbl 1070.65129) Full Text: DOI
Grecu, D.; Visinescu, Anca Modulational instability of some nonlinear continuum and discrete models. (English) Zbl 1099.35527 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 151-156 (2004). MSC: 35Q55 82C23 37K45 PDF BibTeX XML Cite \textit{D. Grecu} and \textit{A. Visinescu}, NATO Sci. Ser. II, Math. Phys. Chem. 153, 151--156 (2004; Zbl 1099.35527)
Stinis, Panagiotis Stochastic optimal prediction for the Kuramoto-Sivashinsky equation. (English) Zbl 1064.65006 Multiscale Model. Simul. 2, No. 4, 580-612 (2004). MSC: 65C30 82C31 45R05 45J05 60H20 PDF BibTeX XML Cite \textit{P. Stinis}, Multiscale Model. Simul. 2, No. 4, 580--612 (2004; Zbl 1064.65006) Full Text: DOI arXiv
Pérez-García, Víctor M. Self-similar solutions and collective coordinate methods for nonlinear Schrödinger equations. (English) Zbl 1057.35067 Physica D 191, No. 3-4, 211-218 (2004). Reviewer: Luis Vazquez (Madrid) MSC: 35Q55 35C05 37K99 35Q60 35A15 PDF BibTeX XML Cite \textit{V. M. Pérez-García}, Physica D 191, No. 3--4, 211--218 (2004; Zbl 1057.35067) Full Text: DOI arXiv
Buttà, Paolo; Caglioti, Emanuele; Marchioro, Carlo On the violation of Ohm’s law for bounded interactions: a one-dimensional system. (English) Zbl 1068.82020 Commun. Math. Phys. 249, No. 2, 353-382 (2004). Reviewer: Michael Mürmann (Heidelberg) MSC: 82C70 82C23 60K37 PDF BibTeX XML Cite \textit{P. Buttà} et al., Commun. Math. Phys. 249, No. 2, 353--382 (2004; Zbl 1068.82020) Full Text: DOI
Wang, Qiuping A. Incomplete information and fractal phase space. (English) Zbl 1107.82027 Chaos Solitons Fractals 19, No. 3, 639-644 (2004). Reviewer: Arnaud Le Ny (Orsay) MSC: 82C10 82C99 37K99 PDF BibTeX XML Cite \textit{Q. A. Wang}, Chaos Solitons Fractals 19, No. 3, 639--644 (2004; Zbl 1107.82027) Full Text: DOI arXiv
Chorin, Alexandre J. Conditional expectations and renormalization. (English) Zbl 1064.65004 Multiscale Model. Simul. 1, No. 1, 105-118 (2003). MSC: 65C30 82C31 60H10 65C05 60G25 60H35 82C28 PDF BibTeX XML Cite \textit{A. J. Chorin}, Multiscale Model. Simul. 1, No. 1, 105--118 (2003; Zbl 1064.65004) Full Text: DOI arXiv