Li, Jing; Li, Kuijie The defocusing energy-supercritical nonlinear Schrödinger equation in high dimensions. (English) Zbl 07541185 SIAM J. Math. Anal. 54, No. 3, 3253-3274 (2022). MSC: 35Q55 35Q41 35P25 35B44 35B65 35B10 35A01 35A02 PDF BibTeX XML Cite \textit{J. Li} and \textit{K. Li}, SIAM J. Math. Anal. 54, No. 3, 3253--3274 (2022; Zbl 07541185) Full Text: DOI OpenURL
Yang, Gang; Zhang, Jian Ground states for Dirac equation with singular potential and asymptotically periodic condition. (English) Zbl 07540964 Appl. Math. Lett. 132, Article ID 108169, 8 p. (2022). MSC: 35Q41 81Q05 35A15 35B40 PDF BibTeX XML Cite \textit{G. Yang} and \textit{J. Zhang}, Appl. Math. Lett. 132, Article ID 108169, 8 p. (2022; Zbl 07540964) Full Text: DOI OpenURL
Wang, Xiu-Bin Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 07540930 Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022). MSC: 35Q55 35Q41 35B10 37K35 35C08 PDF BibTeX XML Cite \textit{X.-B. Wang}, Appl. Math. Lett. 132, Article ID 108086, 7 p. (2022; Zbl 07540930) Full Text: DOI OpenURL
Xue, Yan-Fang; Yu, Li-Ju; Han, Jian-Xin Existence of ground state solutions for generalized quasilinear Schrödinger equations with asymptotically periodic potential. (English) Zbl 07533974 Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 67, 23 p. (2022). MSC: 34-XX 37-XX PDF BibTeX XML Cite \textit{Y.-F. Xue} et al., Qual. Theory Dyn. Syst. 21, No. 3, Paper No. 67, 23 p. (2022; Zbl 07533974) Full Text: DOI OpenURL
Shi, Yanling Quasi-periodic solutions of fractional nonlinear Schrödinger equation systems. (English) Zbl 07518221 Appl. Anal. 101, No. 6, 2019-2043 (2022). MSC: 37K55 PDF BibTeX XML Cite \textit{Y. Shi}, Appl. Anal. 101, No. 6, 2019--2043 (2022; Zbl 07518221) Full Text: DOI OpenURL
Mi, Lufang; Li, Jing Quasi-periodic solutions for a Schrödinger equation under periodic boundary conditions with given potential. (English) Zbl 07517627 J. Differ. Equations 326, 313-343 (2022). MSC: 37K55 35Q55 35Q41 PDF BibTeX XML Cite \textit{L. Mi} and \textit{J. Li}, J. Differ. Equations 326, 313--343 (2022; Zbl 07517627) Full Text: DOI OpenURL
Comech, Andrew On solutions with compact spectrum to nonlinear Klein-Gordon and Schrödinger equations. (English) Zbl 07510652 SIAM J. Math. Anal. 54, No. 2, 2128-2141 (2022). MSC: 35B10 35C08 35B40 35B41 35L71 35Q41 35Q55 37K40 81Q05 PDF BibTeX XML Cite \textit{A. Comech}, SIAM J. Math. Anal. 54, No. 2, 2128--2141 (2022; Zbl 07510652) Full Text: DOI OpenURL
Wu, Qing-Lin; Zhang, Hai-Qiang Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation. (English) Zbl 07508672 Wave Motion 110, Article ID 102890, 10 p. (2022). MSC: 35-XX 37-XX PDF BibTeX XML Cite \textit{Q.-L. Wu} and \textit{H.-Q. Zhang}, Wave Motion 110, Article ID 102890, 10 p. (2022; Zbl 07508672) Full Text: DOI OpenURL
Liu, Wencai Irreducibility of the Fermi variety for discrete periodic Schrödinger operators and embedded eigenvalues. (English) Zbl 1484.35169 Geom. Funct. Anal. 32, No. 1, 1-30 (2022). MSC: 35J10 14N05 32B15 47A75 14H10 PDF BibTeX XML Cite \textit{W. Liu}, Geom. Funct. Anal. 32, No. 1, 1--30 (2022; Zbl 1484.35169) Full Text: DOI OpenURL
Lin, Genghong; Yu, Jianshe Homoclinic solutions of periodic discrete Schrödinger equations with local superquadratic conditions. (English) Zbl 07504991 SIAM J. Math. Anal. 54, No. 2, 1966-2005 (2022). MSC: 35Q55 39A12 39A70 35A01 35B38 35A15 37C29 PDF BibTeX XML Cite \textit{G. Lin} and \textit{J. Yu}, SIAM J. Math. Anal. 54, No. 2, 1966--2005 (2022; Zbl 07504991) Full Text: DOI OpenURL
Zhang, Qiuyan; Zhou, Yuqian; Li, Jibin Bifurcations and exact solutions of the nonlinear Schrödinger equation with nonlinear dispersion. (English) Zbl 07491284 Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250041, 9 p. (2022). MSC: 35Qxx 34Cxx 35Cxx PDF BibTeX XML Cite \textit{Q. Zhang} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 32, No. 3, Article ID 2250041, 9 p. (2022; Zbl 07491284) Full Text: DOI OpenURL
Choi, Mi-Ran; Lee, Young-Ran Averaging of dispersion managed nonlinear Schrödinger equations. (English) Zbl 07489729 Nonlinearity 35, No. 4, 2121-2133 (2022). MSC: 35Q55 35Q60 78A60 35A01 35B27 PDF BibTeX XML Cite \textit{M.-R. Choi} and \textit{Y.-R. Lee}, Nonlinearity 35, No. 4, 2121--2133 (2022; Zbl 07489729) Full Text: DOI arXiv OpenURL
Geng, Jiansheng; Xue, Shuaishuai Reducible KAM tori for two-dimensional nonlinear Schrödinger equations with explicit dependence on the spatial variable. (English) Zbl 07489501 J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022). MSC: 35Q55 35Q41 37K55 35B65 PDF BibTeX XML Cite \textit{J. Geng} and \textit{S. Xue}, J. Funct. Anal. 282, No. 10, Article ID 109430, 51 p. (2022; Zbl 07489501) Full Text: DOI OpenURL
Korotyaev, Evgeny; Saburova, Natalia Trace formulas for Schrödinger operators on periodic graphs. (English) Zbl 1481.35145 J. Math. Anal. Appl. 508, No. 2, Article ID 125888, 33 p. (2022). MSC: 35J10 35R02 PDF BibTeX XML Cite \textit{E. Korotyaev} and \textit{N. Saburova}, J. Math. Anal. Appl. 508, No. 2, Article ID 125888, 33 p. (2022; Zbl 1481.35145) Full Text: DOI arXiv OpenURL
Xu, Xionghui; Sun, Jijiang Ground state solutions for periodic discrete nonlinear Schrödinger equations. (English) Zbl 07533471 AIMS Math. 6, No. 12, 13057-13071 (2021). MSC: 35Q55 35Q51 39A12 39A70 PDF BibTeX XML Cite \textit{X. Xu} and \textit{J. Sun}, AIMS Math. 6, No. 12, 13057--13071 (2021; Zbl 07533471) Full Text: DOI OpenURL
Danilov, Leonid Ivanovich On the spectrum of a multidimensional periodic magnetic Schrödinger operator with a singular electric potential. (On the spectrum of a multidimensional periodic magnetic Shrödinger operator with a singular electric potential.) (Russian. English summary) Zbl 07501942 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 58, 18-47 (2021). MSC: 35P05 35J10 35P20 81Q10 42B10 PDF BibTeX XML Cite \textit{L. I. Danilov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 58, 18--47 (2021; Zbl 07501942) Full Text: DOI MNR OpenURL
Geng, Jiansheng; Xue, Shuaishuai Reducible KAM tori for two-dimensional quintic Schrödinger equations. (Chinese. English summary) Zbl 07494954 Sci. Sin., Math. 51, No. 3, 457-498 (2021). MSC: 37K55 35Q55 35B15 PDF BibTeX XML Cite \textit{J. Geng} and \textit{S. Xue}, Sci. Sin., Math. 51, No. 3, 457--498 (2021; Zbl 07494954) Full Text: DOI OpenURL
Chen, Guiying; Xin, Xiangpeng; Zhang, Feng The soliton solutions and long-time asymptotic analysis for an integrable variable coefficient nonlocal nonlinear Schrödinger equation. (English) Zbl 1483.35200 Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021). MSC: 35Q55 35C08 35B40 35B10 37K10 PDF BibTeX XML Cite \textit{G. Chen} et al., Adv. Math. Phys. 2021, Article ID 5570788, 6 p. (2021; Zbl 1483.35200) Full Text: DOI OpenURL
Frank, Rupert L.; Gontier, David; Lewin, Mathieu The periodic Lieb-Thirring inequality. (English) Zbl 1480.81045 Exner, Pavel (ed.) et al., Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). EMS Ser. Congr. Rep., 135-154 (2021). MSC: 81Q10 35A23 35J10 35J61 PDF BibTeX XML Cite \textit{R. L. Frank} et al., in: Partial differential equations, spectral theory, and mathematical physics. The Ari Laptev anniversary volume. Berlin: European Mathematical Society (EMS). 135--154 (2021; Zbl 1480.81045) Full Text: DOI arXiv OpenURL
Danilov, L. I. Absolute continuity of the spectrum of a periodic 3D magnetic Schrödinger operator with singular electric potential. (English. Russian original) Zbl 1478.35155 Math. Notes 110, No. 4, 497-510 (2021); translation from Mat. Zametki 110, No. 4, 507-523 (2021). MSC: 35P05 35J10 35J25 PDF BibTeX XML Cite \textit{L. I. Danilov}, Math. Notes 110, No. 4, 497--510 (2021; Zbl 1478.35155); translation from Mat. Zametki 110, No. 4, 507--523 (2021) Full Text: DOI OpenURL
Morales, Nolbert; Zamora, Manuel Periodic and soliton structures in a generalized Klein-Gordon equation with horizontal singular lines. (English) Zbl 1480.81041 Monatsh. Math. 196, No. 4, 877-910 (2021). MSC: 81Q05 35C07 35C08 34C25 PDF BibTeX XML Cite \textit{N. Morales} and \textit{M. Zamora}, Monatsh. Math. 196, No. 4, 877--910 (2021; Zbl 1480.81041) Full Text: DOI OpenURL
Yang, Yunqing; Dong, Huanhe; Chen, Yong Darboux-Bäcklund transformation and localized excitation on the periodic wave background for the nonlinear Schrödinger equation. (English) Zbl 07428537 Wave Motion 106, Article ID 102787, 7 p. (2021). MSC: 35-XX 81-XX PDF BibTeX XML Cite \textit{Y. Yang} et al., Wave Motion 106, Article ID 102787, 7 p. (2021; Zbl 07428537) Full Text: DOI OpenURL
Papanicolaou, Vassilis G. Periodic Jacobi operators with complex coefficients. (English) Zbl 1482.39027 J. Spectr. Theory 11, No. 2, 781-819 (2021). Reviewer: Roman Šimon Hilscher (Brno) MSC: 39A70 39A12 47A11 47B39 34K08 PDF BibTeX XML Cite \textit{V. G. Papanicolaou}, J. Spectr. Theory 11, No. 2, 781--819 (2021; Zbl 1482.39027) Full Text: DOI arXiv OpenURL
Shen, Shuang; Yang, Zhenjun; Li, Xingliang; Zhang, Shumin Periodic propagation of complex-valued hyperbolic-cosine-Gaussian solitons and breathers with complicated light field structure in strongly nonlocal nonlinear media. (English) Zbl 1477.35246 Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106005, 13 p. (2021). MSC: 35Q55 35Q60 78A60 78A40 35C08 37K40 PDF BibTeX XML Cite \textit{S. Shen} et al., Commun. Nonlinear Sci. Numer. Simul. 103, Article ID 106005, 13 p. (2021; Zbl 1477.35246) Full Text: DOI OpenURL
Veliev, O. A. On the Schrödinger operator with a periodic PT-symmetric matrix potential. (English) Zbl 07422186 J. Math. Phys. 62, No. 10, 103501, 11 p. (2021). MSC: 34L40 34L15 34L05 PDF BibTeX XML Cite \textit{O. A. Veliev}, J. Math. Phys. 62, No. 10, 103501, 11 p. (2021; Zbl 07422186) Full Text: DOI arXiv OpenURL
Dinh, Van Duong On the instability of standing waves for the nonlinear Schrödinger equation with inverse-square potential. (English) Zbl 1479.35773 Complex Var. Elliptic Equ. 66, No. 10, 1699-1716 (2021). MSC: 35Q55 35Q41 35B35 35B10 33C10 PDF BibTeX XML Cite \textit{V. D. Dinh}, Complex Var. Elliptic Equ. 66, No. 10, 1699--1716 (2021; Zbl 1479.35773) Full Text: DOI OpenURL
Baradaran, Marzieh; Exner, Pavel; Tater, Miloš Ring chains with vertex coupling of a preferred orientation. (English) Zbl 07409547 Rev. Math. Phys. 33, No. 1, Article ID 2060005, 14 p. (2021). MSC: 81Q35 35J10 47A10 PDF BibTeX XML Cite \textit{M. Baradaran} et al., Rev. Math. Phys. 33, No. 1, Article ID 2060005, 14 p. (2021; Zbl 07409547) Full Text: DOI arXiv OpenURL
Clarke, W. A.; Marangell, R. Rigorous justification of the Whitham modulation theory for equations of NLS type. (English) Zbl 07405475 Stud. Appl. Math. 147, No. 2, 577-621 (2021). MSC: 35Q55 35Q53 35B10 35C07 35C20 81Q20 PDF BibTeX XML Cite \textit{W. A. Clarke} and \textit{R. Marangell}, Stud. Appl. Math. 147, No. 2, 577--621 (2021; Zbl 07405475) Full Text: DOI arXiv OpenURL
Chen, Xuanwei; Que, Jiahao; Wang, Xinyue Green’s function and spectral distribution of Schrödinger operator for disordered system. (Chinese. English summary) Zbl 07404350 J. Numer. Methods Comput. Appl. 42, No. 1, 56-70 (2021). MSC: 35J08 35J10 35P05 PDF BibTeX XML Cite \textit{X. Chen} et al., J. Numer. Methods Comput. Appl. 42, No. 1, 56--70 (2021; Zbl 07404350) Full Text: DOI OpenURL
Nanni, Luca Solving the Schrödinger equation of an electron in a periodic crystal potential through elliptic functions. (English) Zbl 1476.81039 J. Math. Chem. 59, No. 8, 1864-1874 (2021). MSC: 81Q05 81Q35 33E05 82D25 PDF BibTeX XML Cite \textit{L. Nanni}, J. Math. Chem. 59, No. 8, 1864--1874 (2021; Zbl 1476.81039) Full Text: DOI arXiv OpenURL
Wu, Yuan; Yuan, Xiaoping A KAM theorem for the Hamiltonian with finite zero normal frequencies and its applications (in memory of Professor Walter Craig). (English) Zbl 1477.37083 J. Dyn. Differ. Equations 33, No. 3, 1427-1474 (2021). MSC: 37K55 37J40 70K43 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{X. Yuan}, J. Dyn. Differ. Equations 33, No. 3, 1427--1474 (2021; Zbl 1477.37083) Full Text: DOI OpenURL
Nasibov, Sh. M. On the absence of global periodic solutions of a Schrödinger-type nonlinear evolution equation. (English. Russian original) Zbl 1471.81022 Theor. Math. Phys. 208, No. 1, 912-915 (2021); translation from Teor. Mat. Fiz. 208, No. 1, 69-73 (2021). MSC: 81Q05 35Q55 35B10 35A01 PDF BibTeX XML Cite \textit{Sh. M. Nasibov}, Theor. Math. Phys. 208, No. 1, 912--915 (2021; Zbl 1471.81022); translation from Teor. Mat. Fiz. 208, No. 1, 69--73 (2021) Full Text: DOI OpenURL
Schippa, Robert On a priori estimates and existence of periodic solutions to the modified Benjamin-Ono equation below \(H^{1 / 2}(\mathbb{T})\). (English) Zbl 07382019 J. Differ. Equations 299, 111-153 (2021). MSC: 35Q55 35Q41 42B37 35B10 35B45 35A01 35A02 PDF BibTeX XML Cite \textit{R. Schippa}, J. Differ. Equations 299, 111--153 (2021; Zbl 07382019) Full Text: DOI arXiv OpenURL
Yue, Haitian Almost sure well-posedness for the cubic nonlinear Schrödinger equation in the super-critical regime on \(\mathbb{T}^d\), \(d\geq 3\). (English) Zbl 1475.35324 Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 1, 243-294 (2021). MSC: 35Q55 35B10 35R60 81V45 PDF BibTeX XML Cite \textit{H. Yue}, Stoch. Partial Differ. Equ., Anal. Comput. 9, No. 1, 243--294 (2021; Zbl 1475.35324) Full Text: DOI arXiv OpenURL
Chen, Jinbing; Pelinovsky, Dmitry E.; Upsal, Jeremy Modulational instability of periodic standing waves in the derivative NLS equation. (English) Zbl 1477.35235 J. Nonlinear Sci. 31, No. 3, Paper No. 58, 32 p. (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q41 35Q51 76W05 35P15 37K20 37K45 35B10 34L15 65L15 82D10 PDF BibTeX XML Cite \textit{J. Chen} et al., J. Nonlinear Sci. 31, No. 3, Paper No. 58, 32 p. (2021; Zbl 1477.35235) Full Text: DOI arXiv OpenURL
Shi, Yanling; Xu, Junxiang Quasi-periodic solutions for nonlinear wave equation with Liouvillean frequency. (English) Zbl 07360588 Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3479-3490 (2021). Reviewer: Igor Leite Freire (Sao Paulo) MSC: 35Q55 37K55 26A33 35R11 PDF BibTeX XML Cite \textit{Y. Shi} and \textit{J. Xu}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 7, 3479--3490 (2021; Zbl 07360588) Full Text: DOI OpenURL
Zhou, Yan; Zhuang, Jinsen; Li, Jibin Bifurcations and exact traveling wave solutions in two nonlinear wave systems. (English) Zbl 1476.37085 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150093, 15 p. (2021). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37K50 37N10 37N15 35B32 35C07 35C08 35L05 PDF BibTeX XML Cite \textit{Y. Zhou} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 6, Article ID 2150093, 15 p. (2021; Zbl 1476.37085) Full Text: DOI OpenURL
Korotyaev, Evgeny; Møller, Jacob Schach Schrödinger operators periodic in octants. (English) Zbl 1466.35102 Lett. Math. Phys. 111, No. 2, Paper No. 55, 23 p. (2021). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J10 35P05 PDF BibTeX XML Cite \textit{E. Korotyaev} and \textit{J. S. Møller}, Lett. Math. Phys. 111, No. 2, Paper No. 55, 23 p. (2021; Zbl 1466.35102) Full Text: DOI arXiv OpenURL
Deconinck, B.; Fokas, A. S.; Lenells, J. The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. (English) Zbl 1466.35325 Lett. Math. Phys. 111, No. 1, Paper No. 17, 18 p. (2021). Reviewer: Ayman Kachmar (Nabaṭiyya) MSC: 35Q55 35Q15 37K15 37K10 35G30 35B10 PDF BibTeX XML Cite \textit{B. Deconinck} et al., Lett. Math. Phys. 111, No. 1, Paper No. 17, 18 p. (2021; Zbl 1466.35325) Full Text: DOI arXiv OpenURL
Leisman, Katelyn Plaisier; Bronski, Jared C.; Johnson, Mathew A.; Marangell, Robert Stability of traveling wave solutions of nonlinear dispersive equations of NLS type. (English) Zbl 1467.35299 Arch. Ration. Mech. Anal. 240, No. 2, 927-969 (2021). MSC: 35Q55 35C07 35B10 35B20 65N25 PDF BibTeX XML Cite \textit{K. P. Leisman} et al., Arch. Ration. Mech. Anal. 240, No. 2, 927--969 (2021; Zbl 1467.35299) Full Text: DOI arXiv OpenURL
Hong, Younghun; Kwak, Chulkwang; Nakamura, Shohei; Yang, Changhun Finite difference scheme for two-dimensional periodic nonlinear Schrödinger equations. (English) Zbl 1464.35324 J. Evol. Equ. 21, No. 1, 391-418 (2021). MSC: 35Q55 81T27 65M06 34L40 PDF BibTeX XML Cite \textit{Y. Hong} et al., J. Evol. Equ. 21, No. 1, 391--418 (2021; Zbl 1464.35324) Full Text: DOI arXiv OpenURL
Ding, Yanheng; Dong, Xiaojing Infinitely many solutions of Dirac equations with concave and convex nonlinearities. (English) Zbl 1481.35349 Z. Angew. Math. Phys. 72, No. 1, Paper No. 39, 17 p. (2021). MSC: 35Q40 35Q41 49J35 35B38 35A01 81V80 PDF BibTeX XML Cite \textit{Y. Ding} and \textit{X. Dong}, Z. Angew. Math. Phys. 72, No. 1, Paper No. 39, 17 p. (2021; Zbl 1481.35349) Full Text: DOI OpenURL
Chodosh, Otis; Shlapentokh-Rothman, Yakov Stationary axisymmetric black holes with matter. (English) Zbl 1464.83013 Commun. Anal. Geom. 29, No. 1, 19-76 (2021). MSC: 83C05 83C57 83C55 53C21 35L05 81Q05 PDF BibTeX XML Cite \textit{O. Chodosh} and \textit{Y. Shlapentokh-Rothman}, Commun. Anal. Geom. 29, No. 1, 19--76 (2021; Zbl 1464.83013) Full Text: DOI arXiv OpenURL
Girardi, Giovanni; Wirth, Jens Decay estimates for a Klein-Gordon model with time-periodic coefficients. (English) Zbl 1465.35297 Cicognani, Massimo (ed.) et al., Anomalies in partial differential equations. Based on talks given at the INDAM workshop, University of Rome “La Sapienza”, Rome, Italy, September 9–13, 2019. Cham: Springer. Springer INdAM Ser. 43, 313-330 (2021). Reviewer: Jiqiang Zheng (Beijing) MSC: 35L15 81Q05 35B40 35B45 PDF BibTeX XML Cite \textit{G. Girardi} and \textit{J. Wirth}, Springer INdAM Ser. 43, 313--330 (2021; Zbl 1465.35297) Full Text: DOI arXiv OpenURL
Natali, Fábio; Cardoso, Eleomar Existence and orbital stability of standing waves for the 1D Schrödinger-Kirchhoff equation. (English) Zbl 1460.35030 J. Math. Anal. Appl. 500, No. 1, Article ID 125098, 20 p. (2021). MSC: 35B35 35C08 35Q55 35R09 PDF BibTeX XML Cite \textit{F. Natali} and \textit{E. Cardoso}, J. Math. Anal. Appl. 500, No. 1, Article ID 125098, 20 p. (2021; Zbl 1460.35030) Full Text: DOI arXiv OpenURL
Bégout, Pascal; Schindler, Ian On a stationary Schrödinger equation with periodic magnetic potential. (English) Zbl 1460.35316 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 72, 32 p. (2021). MSC: 35Q55 35A01 35D30 PDF BibTeX XML Cite \textit{P. Bégout} and \textit{I. Schindler}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 115, No. 2, Paper No. 72, 32 p. (2021; Zbl 1460.35316) Full Text: DOI arXiv OpenURL
Borisov, D. I. On lacunas in the lower part of the spectrum of the periodic magnetic operator in a strip. (English. Russian original) Zbl 1459.35298 J. Math. Sci., New York 253, No. 5, 599-617 (2021); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 373-391 (2017). MSC: 35P15 35J10 PDF BibTeX XML Cite \textit{D. I. Borisov}, J. Math. Sci., New York 253, No. 5, 599--617 (2021; Zbl 1459.35298); translation from Sovrem. Mat., Fundam. Napravl. 63, No. 3, 373--391 (2017) Full Text: DOI OpenURL
Yue, Haitian Global well-posedness for the energy-critical focusing nonlinear Schrödinger equation on \(\mathbb{T}^4\). (English) Zbl 1459.35346 J. Differ. Equations 280, 754-804 (2021). MSC: 35Q55 49K40 35B30 35B40 35B44 35R01 PDF BibTeX XML Cite \textit{H. Yue}, J. Differ. Equations 280, 754--804 (2021; Zbl 1459.35346) Full Text: DOI arXiv OpenURL
Haragus, Mariana; Johnson, Mathew A.; Perkins, Wesley R. Linear modulational and subharmonic dynamics of spectrally stable Lugiato-Lefever periodic waves. (English) Zbl 1462.35354 J. Differ. Equations 280, 315-354 (2021). MSC: 35Q55 35B10 35B35 78A60 37K10 35B20 35B40 PDF BibTeX XML Cite \textit{M. Haragus} et al., J. Differ. Equations 280, 315--354 (2021; Zbl 1462.35354) Full Text: DOI arXiv OpenURL
Li, Jiyong; Wang, Tingchun Optimal point-wise error estimate of two conservative fourth-order compact finite difference schemes for the nonlinear Dirac equation. (English) Zbl 1457.81035 Appl. Numer. Math. 162, 150-170 (2021). MSC: 81Q05 81R20 35Q55 65L12 35R20 81R05 35G30 81-10 PDF BibTeX XML Cite \textit{J. Li} and \textit{T. Wang}, Appl. Numer. Math. 162, 150--170 (2021; Zbl 1457.81035) Full Text: DOI OpenURL
Kishimoto, Nobu Unconditional local well-posedness for periodic NLS. (English) Zbl 1454.35344 J. Differ. Equations 274, 766-787 (2021). MSC: 35Q55 35A02 PDF BibTeX XML Cite \textit{N. Kishimoto}, J. Differ. Equations 274, 766--787 (2021; Zbl 1454.35344) Full Text: DOI arXiv OpenURL
Wang, Xiu-Bin; Han, Bo Solitons in nonlinear systems with higher-order effects. (English) Zbl 1451.35202 Appl. Math. Lett. 111, Article ID 106656, 5 p. (2021). MSC: 35Q55 78A60 35C08 65D18 PDF BibTeX XML Cite \textit{X.-B. Wang} and \textit{B. Han}, Appl. Math. Lett. 111, Article ID 106656, 5 p. (2021; Zbl 1451.35202) Full Text: DOI OpenURL
Zhang, Ao; Duan, Jinqiao Effective wave factorization for a stochastic Schrödinger equation. (English) Zbl 07510450 Physica D 411, Article ID 132573, 6 p. (2020). MSC: 35Q55 35Q41 35A15 35B27 60H40 74Q10 35R60 PDF BibTeX XML Cite \textit{A. Zhang} and \textit{J. Duan}, Physica D 411, Article ID 132573, 6 p. (2020; Zbl 07510450) Full Text: DOI OpenURL
Seadawy, Aly R.; Arshad, Muhammad; Lu, Dianchen The weakly nonlinear wave propagation theory for the Kelvin-Helmholtz instability in magnetohydrodynamics flows. (English) Zbl 07505117 Chaos Solitons Fractals 139, Article ID 110141, 10 p. (2020). MSC: 78-XX 35-XX PDF BibTeX XML Cite \textit{A. R. Seadawy} et al., Chaos Solitons Fractals 139, Article ID 110141, 10 p. (2020; Zbl 07505117) Full Text: DOI OpenURL
Biasco, Luca; Massetti, Jessica Elisa; Procesi, Michela A note on the construction of Sobolev almost periodic invariant tori for the 1d NLS. (English) Zbl 1473.37091 Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 981-993 (2020). MSC: 37K55 35B15 35Q55 PDF BibTeX XML Cite \textit{L. Biasco} et al., Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 31, No. 4, 981--993 (2020; Zbl 1473.37091) Full Text: DOI arXiv OpenURL
Avila, Artur; Khanin, Konstantin; Leguil, Martin Invariant graphs and spectral type of Schrödinger operators. (English) Zbl 1472.35106 Pure Appl. Funct. Anal. 5, No. 6, 1257-1277 (2020). Reviewer: Gaetano Siciliano (São Paulo) MSC: 35J10 37J40 35P05 PDF BibTeX XML Cite \textit{A. Avila} et al., Pure Appl. Funct. Anal. 5, No. 6, 1257--1277 (2020; Zbl 1472.35106) Full Text: arXiv Link OpenURL
Post, Olaf; Saburova, Natalia Schrödinger operators with potential waveguides on periodic graphs. (English) Zbl 07346627 Oper. Matrices 14, No. 3, 601-634 (2020). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 47B39 81Q10 35J10 05C50 39A12 81Q35 PDF BibTeX XML Cite \textit{O. Post} and \textit{N. Saburova}, Oper. Matrices 14, No. 3, 601--634 (2020; Zbl 07346627) Full Text: DOI OpenURL
Jian, Hui On stochastic Schrödinger equation with time-periodic dispersion and time-varying loss/gain. (English) Zbl 1474.35586 Adv. Math., Beijing 49, No. 6, 693-712 (2020). MSC: 35Q55 35R60 PDF BibTeX XML Cite \textit{H. Jian}, Adv. Math., Beijing 49, No. 6, 693--712 (2020; Zbl 1474.35586) Full Text: DOI OpenURL
Wu, Yuan; Yuan, Xiaoping On the existence of full dimensional KAM torus for fractional nonlinear Schrödinger equation. (English) Zbl 1455.37061 J. Appl. Anal. Comput. 10, No. 2, 771-794 (2020). MSC: 37K55 35Q55 35R11 PDF BibTeX XML Cite \textit{Y. Wu} and \textit{X. Yuan}, J. Appl. Anal. Comput. 10, No. 2, 771--794 (2020; Zbl 1455.37061) Full Text: DOI OpenURL
Danilov, Leonid Ivanovich On the spectrum of a Landau Hamiltonian with a periodic electric potential \(V\in L^p_{\text{loc}}(\mathbb{R}^2)\), \(p>1\). (Russian. English summary) Zbl 1458.35283 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 42-59 (2020). MSC: 35P05 35J10 PDF BibTeX XML Cite \textit{L. I. Danilov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 55, 42--59 (2020; Zbl 1458.35283) Full Text: DOI MNR OpenURL
Dohnal, Tomáš; Rudolf, Daniel NLS approximation for wavepackets in periodic cubically nonlinear wave problems in \(\mathbb{R}^d\). (English) Zbl 1459.35342 Appl. Anal. 99, No. 10, 1685-1723 (2020). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35Q60 35L71 41A60 35C08 65N25 65N06 65L06 65T50 PDF BibTeX XML Cite \textit{T. Dohnal} and \textit{D. Rudolf}, Appl. Anal. 99, No. 10, 1685--1723 (2020; Zbl 1459.35342) Full Text: DOI arXiv OpenURL
Sun, Mei; Wang, Xueyin Hölder continuity of spectral measures for the finitely differentiable quasi-periodic Schrödinger operators. (English) Zbl 1463.35208 Anal. Theory Appl. 36, No. 1, 33-51 (2020). MSC: 35J10 PDF BibTeX XML Cite \textit{M. Sun} and \textit{X. Wang}, Anal. Theory Appl. 36, No. 1, 33--51 (2020; Zbl 1463.35208) Full Text: DOI OpenURL
Yun, Yongzhen; An, Tianqing; Ye, Guoju; Zuo, Jiabin Existence of solutions for asymptotically periodic fractional Schrödinger equation with critical growth. (English) Zbl 1455.35095 Math. Methods Appl. Sci. 43, No. 17, 10081-10097 (2020). MSC: 35J60 35R11 35A01 35A15 PDF BibTeX XML Cite \textit{Y. Yun} et al., Math. Methods Appl. Sci. 43, No. 17, 10081--10097 (2020; Zbl 1455.35095) Full Text: DOI OpenURL
Klopp, F.; Fedotov, A. A. On the hierarchical behavior of solutions of the Maryland equation in the semiclassical approximation. (English. Russian original) Zbl 1454.81067 Math. Notes 108, No. 6, 906-910 (2020); translation from Mat. Zametki 108, No. 6, 941-946 (2020). MSC: 81Q05 39A12 39A06 37C55 93A13 PDF BibTeX XML Cite \textit{F. Klopp} and \textit{A. A. Fedotov}, Math. Notes 108, No. 6, 906--910 (2020; Zbl 1454.81067); translation from Mat. Zametki 108, No. 6, 941--946 (2020) Full Text: DOI OpenURL
Dorodnyĭ, M. A. Homogenization of periodic Schrödinger-type equations, with lower order terms. (English. Russian original) Zbl 1454.35017 St. Petersbg. Math. J. 31, No. 6, 1001-1054 (2020); translation from Algebra Anal. 31, No. 6, 122-196 (2019). Reviewer: Paolo Musolino (Padova) MSC: 35B27 35J10 35Q41 PDF BibTeX XML Cite \textit{M. A. Dorodnyĭ}, St. Petersbg. Math. J. 31, No. 6, 1001--1054 (2020; Zbl 1454.35017); translation from Algebra Anal. 31, No. 6, 122--196 (2019) Full Text: DOI OpenURL
Xu, Xindong KAM theorem for a Hamiltonian system with sublinear growth frequencies at infinity. (English) Zbl 1454.37070 J. Dyn. Differ. Equations 32, No. 4, 2079-2108 (2020). MSC: 37K55 35B10 PDF BibTeX XML Cite \textit{X. Xu}, J. Dyn. Differ. Equations 32, No. 4, 2079--2108 (2020; Zbl 1454.37070) Full Text: DOI arXiv OpenURL
Seadawy, Aly R.; Nasreen, Naila; Lu, Dianchen Complex model ultra-short pulses in optical fibers via generalized third-order nonlinear Schrödinger dynamical equation. (English) Zbl 1443.35148 Int. J. Mod. Phys. B 34, No. 17, Article ID 2050143, 9 p. (2020). MSC: 35Q55 35C08 78A60 PDF BibTeX XML Cite \textit{A. R. Seadawy} et al., Int. J. Mod. Phys. B 34, No. 17, Article ID 2050143, 9 p. (2020; Zbl 1443.35148) Full Text: DOI OpenURL
Li, Gui-Dong; Li, Yong-Yong; Tang, Chun-Lei A positive solution of asymptotically periodic Schrödinger equations with local superlinear nonlinearities. (English) Zbl 1463.35245 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 30, 15 p. (2020). MSC: 35J50 35A01 35B09 35D30 PDF BibTeX XML Cite \textit{G.-D. Li} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 30, 15 p. (2020; Zbl 1463.35245) Full Text: DOI OpenURL
Gérard, Patrick; Grellier, Sandrine [Klein, Christian] On a damped Szegö equation (with an appendix in collaboration with Christian Klein). (English) Zbl 1448.35022 SIAM J. Math. Anal. 52, No. 5, 4391-4420 (2020). MSC: 35B15 35Q55 47B35 37K15 PDF BibTeX XML Cite \textit{P. Gérard} and \textit{S. Grellier}, SIAM J. Math. Anal. 52, No. 5, 4391--4420 (2020; Zbl 1448.35022) Full Text: DOI arXiv OpenURL
Ferriere, Guillaume The focusing logarithmic Schrödinger equation: analysis of breathers and nonlinear superposition. (English) Zbl 07243512 Discrete Contin. Dyn. Syst. 40, No. 11, 6247-6274 (2020). MSC: 35Q55 35B10 35B15 35B40 34C25 34C27 PDF BibTeX XML Cite \textit{G. Ferriere}, Discrete Contin. Dyn. Syst. 40, No. 11, 6247--6274 (2020; Zbl 07243512) Full Text: DOI arXiv OpenURL
Liu, Shujuan The existence of almost-periodic solutions for 1-dimensional nonlinear Schrödinger equation with quasi-periodic forcing. (English) Zbl 1439.81040 J. Math. Phys. 61, No. 3, 031502, 21 p. (2020). MSC: 81Q05 35Q55 35B15 PDF BibTeX XML Cite \textit{S. Liu}, J. Math. Phys. 61, No. 3, 031502, 21 p. (2020; Zbl 1439.81040) Full Text: DOI OpenURL
Rao, Jiguang; He, Jingsong; Mihalache, Dumitru; Cheng, Yi \(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. (English) Zbl 1434.35193 Appl. Math. Lett. 104, Article ID 106246, 8 p. (2020). MSC: 35Q55 37K40 35C08 PDF BibTeX XML Cite \textit{J. Rao} et al., Appl. Math. Lett. 104, Article ID 106246, 8 p. (2020; Zbl 1434.35193) Full Text: DOI OpenURL
Zhang, Weiguo; Ling, Xingqian; Wang, Bei-Bei; Li, Shaowei Solitary and periodic wave solutions of Sasa-Satsuma equation and their relationship with Hamilton energy. (English) Zbl 1441.35215 Complexity 2020, Article ID 8760179, 17 p. (2020). MSC: 35Q53 35Q55 35B10 35C08 PDF BibTeX XML Cite \textit{W. Zhang} et al., Complexity 2020, Article ID 8760179, 17 p. (2020; Zbl 1441.35215) Full Text: DOI OpenURL
Elton, Daniel M. Decay rates at infinity for solutions to periodic Schrödinger equations. (English) Zbl 1436.35094 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1113-1126 (2020). MSC: 35J10 35J15 35B40 PDF BibTeX XML Cite \textit{D. M. Elton}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 3, 1113--1126 (2020; Zbl 1436.35094) Full Text: DOI arXiv Link OpenURL
Wang, Jun; Zhao, Tingting; Xiao, Lu Existence and asymptotical behavior of the minimizer of Hartree type equation with periodic potentials. (English) Zbl 1439.35448 Complex Var. Elliptic Equ. 65, No. 5, 740-764 (2020). Reviewer: Huansong Zhou (Wuhan) MSC: 35Q55 35J61 35J20 35Q60 49J40 35B32 35A01 35B40 35R09 90C30 PDF BibTeX XML Cite \textit{J. Wang} et al., Complex Var. Elliptic Equ. 65, No. 5, 740--764 (2020; Zbl 1439.35448) Full Text: DOI OpenURL
Zhao, Xin Hölder continuity of absolutely continuous spectral measure for multi-frequency Schrödinger operators. (English) Zbl 1442.47015 J. Funct. Anal. 278, No. 12, Article ID 108508, 21 p. (2020). Reviewer: Stepan Agop Tersian (Rousse) MSC: 47B15 35J10 PDF BibTeX XML Cite \textit{X. Zhao}, J. Funct. Anal. 278, No. 12, Article ID 108508, 21 p. (2020; Zbl 1442.47015) Full Text: DOI arXiv OpenURL
Yin, Zhao; Ji, Chao Existence of solution for two classes of Schrödinger equations in \(\mathbb{R}^N\) with magnetic field and zero mass. (English) Zbl 1449.35400 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 7, 16 p. (2020). MSC: 35Q55 35J60 35J62 PDF BibTeX XML Cite \textit{Z. Yin} and \textit{C. Ji}, Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 7, 16 p. (2020; Zbl 1449.35400) Full Text: DOI OpenURL
Mi, Yue; Zhao, Zhiyan Dispersive estimate for two-periodic discrete one-dimensional Schrödinger operator. (English) Zbl 1433.81083 J. Math. Anal. Appl. 485, No. 1, Article ID 123768, 15 p. (2020). MSC: 81Q05 35J10 PDF BibTeX XML Cite \textit{Y. Mi} and \textit{Z. Zhao}, J. Math. Anal. Appl. 485, No. 1, Article ID 123768, 15 p. (2020; Zbl 1433.81083) Full Text: DOI OpenURL
Zhang, Yong; Dong, Huan-He; Wang, Deng-Shan Riemann-Hilbert problems and soliton solutions for a multi-component cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1435.35365 J. Geom. Phys. 149, Article ID 103569, 19 p. (2020). MSC: 35Q55 37K10 35B15 35Q15 35C08 37K40 PDF BibTeX XML Cite \textit{Y. Zhang} et al., J. Geom. Phys. 149, Article ID 103569, 19 p. (2020; Zbl 1435.35365) Full Text: DOI OpenURL
Chen, Zhijie; Lin, Chang-Shou On algebro-geometric simply-periodic solutions of the KdV hierarchy. (English) Zbl 1439.35425 Commun. Math. Phys. 374, No. 1, 111-144 (2020). MSC: 35Q53 35G20 35C05 35B10 34L40 33E10 37K35 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{C.-S. Lin}, Commun. Math. Phys. 374, No. 1, 111--144 (2020; Zbl 1439.35425) Full Text: DOI OpenURL
Liu, Qihuai; Liu, Wenye; Torres, Pedro J.; Huang, Wentao Periodic dynamics of a derivative nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1428.35527 Appl. Anal. 99, No. 3, 407-427 (2020). MSC: 35Q55 35B10 PDF BibTeX XML Cite \textit{Q. Liu} et al., Appl. Anal. 99, No. 3, 407--427 (2020; Zbl 1428.35527) Full Text: DOI OpenURL
Yan, Dong Feng; Shi, Guang Hua KAM tori for the derivative quintic nonlinear Schrödinger equation. (English) Zbl 1430.37090 Acta Math. Sin., Engl. Ser. 36, No. 2, 153-170 (2020). MSC: 37K55 35Q55 PDF BibTeX XML Cite \textit{D. F. Yan} and \textit{G. H. Shi}, Acta Math. Sin., Engl. Ser. 36, No. 2, 153--170 (2020; Zbl 1430.37090) Full Text: DOI OpenURL
Zhao, Xin Continuity of the spectrum of quasi-periodic Schrödinger operators with finitely differentiable potentials. (English) Zbl 1452.37038 Ergodic Theory Dyn. Syst. 40, No. 2, 564-576 (2020). Reviewer: Meirong Zhang (Beijing) MSC: 37D25 37C40 47A10 34L40 35J10 PDF BibTeX XML Cite \textit{X. Zhao}, Ergodic Theory Dyn. Syst. 40, No. 2, 564--576 (2020; Zbl 1452.37038) Full Text: DOI OpenURL
Zhao, Xin; Yan, Weiping Existence of standing waves for quasi-linear Schrödinger equations on \(T^n\). (English) Zbl 1429.35089 Adv. Nonlinear Anal. 9, 978-993 (2020). MSC: 35J60 35R03 35B10 PDF BibTeX XML Cite \textit{X. Zhao} and \textit{W. Yan}, Adv. Nonlinear Anal. 9, 978--993 (2020; Zbl 1429.35089) Full Text: DOI OpenURL
Li, Yong-Yong; Xue, Yan-Fang; Tang, Chun-Lei Ground state solutions for asymptotically periodic modified Schrödinger-Poisson system involving critical exponent. (English) Zbl 07461277 Commun. Pure Appl. Anal. 18, No. 5, 2299-2324 (2019). Reviewer: Antonio André Novotny (Petrópolis) MSC: 49J20 35J10 PDF BibTeX XML Cite \textit{Y.-Y. Li} et al., Commun. Pure Appl. Anal. 18, No. 5, 2299--2324 (2019; Zbl 07461277) Full Text: DOI OpenURL
Liu, Xi-zhong; Yu, Jun; Lou, Zhi-Mei; Qian, Xian-Min A nonlocal variable coefficient modified KdV equation derived from a two-layer fluid system and its exact solutions. (English) Zbl 1442.35389 Comput. Math. Appl. 78, No. 6, 2083-2093 (2019). MSC: 35Q53 35C05 35Q55 PDF BibTeX XML Cite \textit{X.-z. Liu} et al., Comput. Math. Appl. 78, No. 6, 2083--2093 (2019; Zbl 1442.35389) Full Text: DOI arXiv OpenURL
Liu, Xi-zhong; Yu, Jun A nonlocal nonlinear Schrödinger equation derived from a two-layer fluid model. (English) Zbl 1437.35634 Nonlinear Dyn. 96, No. 3, 2103-2114 (2019). MSC: 35Q55 35Q35 76D10 35B06 PDF BibTeX XML Cite \textit{X.-z. Liu} and \textit{J. Yu}, Nonlinear Dyn. 96, No. 3, 2103--2114 (2019; Zbl 1437.35634) Full Text: DOI arXiv OpenURL
Kao, Chiu-Yen; Osting, Braxton Extremal spectral gaps for periodic Schrödinger operators. (English) Zbl 1459.35296 ESAIM, Control Optim. Calc. Var. 25, Paper No. 40, 35 p. (2019). MSC: 35P05 35B10 35J10 35Q93 49R05 65N25 PDF BibTeX XML Cite \textit{C.-Y. Kao} and \textit{B. Osting}, ESAIM, Control Optim. Calc. Var. 25, Paper No. 40, 35 p. (2019; Zbl 1459.35296) Full Text: DOI arXiv OpenURL
Grinevich, P. G.; Santini, P. M. The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes. (English. Russian original) Zbl 1454.35340 Russ. Math. Surv. 74, No. 2, 211-263 (2019); translation from Usp. Mat. Nauk 74, No. 2, 27-80 (2019). MSC: 35Q55 37K10 35C08 74J30 78A60 76B25 76B15 PDF BibTeX XML Cite \textit{P. G. Grinevich} and \textit{P. M. Santini}, Russ. Math. Surv. 74, No. 2, 211--263 (2019; Zbl 1454.35340); translation from Usp. Mat. Nauk 74, No. 2, 27--80 (2019) Full Text: DOI arXiv OpenURL
Cornean, Horia D.; Helffer, Bernard; Purice, Radu Peierls’ substitution for low lying spectral energy windows. (English) Zbl 1440.35053 J. Spectr. Theory 9, No. 4, 1179-1222 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35J10 35P05 PDF BibTeX XML Cite \textit{H. D. Cornean} et al., J. Spectr. Theory 9, No. 4, 1179--1222 (2019; Zbl 1440.35053) Full Text: DOI arXiv OpenURL
Kudryashov, Nikolay A.; Safonova, Dariya V.; Biswas, Anjan Painlevé analysis and a solution to the traveling wave reduction of the Radhakrishnan-Kundu-Lakshmanan equation. (English) Zbl 1434.78022 Regul. Chaotic Dyn. 24, No. 6, 607-614 (2019). MSC: 78A60 37K10 35Q51 35Q55 35C07 33E05 35C05 35B10 35Q60 35C08 PDF BibTeX XML Cite \textit{N. A. Kudryashov} et al., Regul. Chaotic Dyn. 24, No. 6, 607--614 (2019; Zbl 1434.78022) Full Text: DOI OpenURL
Veliev, Oktay On a class of nonself-adjoint multidimensional periodic Schrödinger operators. (English) Zbl 07164319 Turk. J. Math. 43, No. 5, 2415-2432 (2019). MSC: 47F05 35P15 35J10 34L20 PDF BibTeX XML Cite \textit{O. Veliev}, Turk. J. Math. 43, No. 5, 2415--2432 (2019; Zbl 07164319) Full Text: arXiv Link OpenURL
Bak, Sergiy; Kovtonyuk, Galyna Existence of standing waves in DNLS with saturable nonlinearity on 2D-lattice. (English) Zbl 1433.35353 Commun. Math. Anal. 22, No. 2, 18-34 (2019). MSC: 35Q55 35Q51 39A12 39A70 35A15 35B38 PDF BibTeX XML Cite \textit{S. Bak} and \textit{G. Kovtonyuk}, Commun. Math. Anal. 22, No. 2, 18--34 (2019; Zbl 1433.35353) Full Text: Euclid OpenURL
Il’ina, A. V.; Krichever, I. M.; Nekrasov, N. A. Two-dimensional periodic Schrödinger operators integrable at an energy eigenlevel. (English. Russian original) Zbl 1427.35161 Funct. Anal. Appl. 53, No. 1, 23-36 (2019); translation from Funkts. Anal. Prilozh. 53, No. 1, 31-48 (2019). MSC: 35P05 35J10 35G20 PDF BibTeX XML Cite \textit{A. V. Il'ina} et al., Funct. Anal. Appl. 53, No. 1, 23--36 (2019; Zbl 1427.35161); translation from Funkts. Anal. Prilozh. 53, No. 1, 31--48 (2019) Full Text: DOI arXiv OpenURL
Wang, W.-M. Quasi-periodic solutions to nonlinear PDEs. (English) Zbl 1427.35260 Coron, Jean-Michel (ed.) et al., Harmonic analysis and wave equations. Lecture notes of the LIASFMA school and workshop, Shanghai, China, May 8–18, 2017. Hackensack, NJ: World Scientific; Beijing: Higher Education Press. Ser. Contemp. Appl. Math. CAM 23, 127-175 (2019). MSC: 35Q55 35B10 35Q53 PDF BibTeX XML Cite \textit{W. M. Wang}, Ser. Contemp. Appl. Math. CAM 23, 127--175 (2019; Zbl 1427.35260) Full Text: DOI OpenURL
Verma, Pallavi; Kaur, Lakhveer Solitary wave solutions for \((1+2)\)-dimensional nonlinear Schrödinger equation with dual power law nonlinearity. (English) Zbl 1431.35185 Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 128, 15 p. (2019). MSC: 35Q55 35C08 35B10 35C07 78A60 PDF BibTeX XML Cite \textit{P. Verma} and \textit{L. Kaur}, Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 128, 15 p. (2019; Zbl 1431.35185) Full Text: DOI OpenURL
Chenn, Ilias; Sigal, I. M. On effective PDEs of quantum physics. (English) Zbl 1428.35419 D’Abbicco, Marcello (ed.) et al., New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14–18, 2017. Cham: Birkhäuser. Trends Math., 1-47 (2019). MSC: 35Q40 78A35 35B10 35Q55 PDF BibTeX XML Cite \textit{I. Chenn} and \textit{I. M. Sigal}, in: New tools for nonlinear PDEs and application. Proceedings of the 11th ISAAC congress, Växjö, Sweden, August 14--18, 2017. Cham: Birkhäuser. 1--47 (2019; Zbl 1428.35419) Full Text: DOI OpenURL
Mi, Lufang; Cui, Wenyan Invariant tori for the Schrödinger equation in the Heisenberg ferromagnetic chain. (English) Zbl 1427.37055 Appl. Anal. 98, No. 13, 2440-2453 (2019). MSC: 37K55 35Q55 PDF BibTeX XML Cite \textit{L. Mi} and \textit{W. Cui}, Appl. Anal. 98, No. 13, 2440--2453 (2019; Zbl 1427.37055) Full Text: DOI OpenURL
Bony, Jean-François; Espinoza, Nicolás; Raikov, Georgi Spectral properties of 2D Pauli operators with almost-periodic electromagnetic fields. (English) Zbl 1423.35261 Publ. Res. Inst. Math. Sci. 55, No. 3, 453-487 (2019). Reviewer: Michael Perelmuter (Kyïv) MSC: 35P05 81Q05 81Q10 35J10 47N50 11F66 PDF BibTeX XML Cite \textit{J.-F. Bony} et al., Publ. Res. Inst. Math. Sci. 55, No. 3, 453--487 (2019; Zbl 1423.35261) Full Text: DOI arXiv OpenURL
Ji, Chao Ground state solutions of fractional Schrödinger equations with potentials and weak monotonicity condition on the nonlinear term. (English) Zbl 1427.35053 Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6071-6089 (2019). MSC: 35J60 35R11 47J30 PDF BibTeX XML Cite \textit{C. Ji}, Discrete Contin. Dyn. Syst., Ser. B 24, No. 11, 6071--6089 (2019; Zbl 1427.35053) Full Text: DOI arXiv OpenURL