Pankrashkin, Konstantin A remark on the discriminant of Hill’s equation and Herglotz functions. (English) Zbl 1316.34015 Arch. Math. 102, No. 2, 155-163 (2014). Reviewer: Petr Zemanek (Brno) MSC: 34A30 34B05 34L40 47E05 34B20 PDFBibTeX XMLCite \textit{K. Pankrashkin}, Arch. Math. 102, No. 2, 155--163 (2014; Zbl 1316.34015) Full Text: DOI arXiv
Fernández, S. C.; Shchesnovich, V. S. Nondecaying linear and nonlinear modes in a periodic array of spatially localized dissipations. (English) Zbl 1326.35339 J. Phys. A, Math. Theor. 47, No. 8, Article ID 085202, 16 p. (2014). MSC: 35Q55 37L60 35C08 78A60 PDFBibTeX XMLCite \textit{S. C. Fernández} and \textit{V. S. Shchesnovich}, J. Phys. A, Math. Theor. 47, No. 8, Article ID 085202, 16 p. (2014; Zbl 1326.35339) Full Text: DOI arXiv
Liu, Jianjun; Yuan, Xiaoping KAM for the derivative nonlinear Schrödinger equation with periodic boundary conditions. (English) Zbl 1285.35111 J. Differ. Equations 256, No. 4, 1627-1652 (2014). MSC: 35Q55 35B65 37K55 35B10 PDFBibTeX XMLCite \textit{J. Liu} and \textit{X. Yuan}, J. Differ. Equations 256, No. 4, 1627--1652 (2014; Zbl 1285.35111) Full Text: DOI
Mi, Lufang; Zhang, Kangkang Invariant tori for Benjamin-Ono equation with unbounded quasi-periodically forced perturbation. (English) Zbl 1339.37076 Discrete Contin. Dyn. Syst. 34, No. 2, 689-707 (2014). Reviewer: Anatoly Martynyuk (Kyïv) MSC: 37K55 35Q55 35Q41 PDFBibTeX XMLCite \textit{L. Mi} and \textit{K. Zhang}, Discrete Contin. Dyn. Syst. 34, No. 2, 689--707 (2014; Zbl 1339.37076) Full Text: DOI
Parnovski, Leonid Multidimensional periodic and almost-periodic spectral problems. (English) Zbl 1364.35218 Latała, Rafał (ed.) et al., European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2–7 July, 2012. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-120-0/hbk). 503-513 (2013). MSC: 35P20 47G30 47A55 35B10 35B15 35J10 81Q10 PDFBibTeX XMLCite \textit{L. Parnovski}, in: European Congress of Mathematics. Proceedings of the 6th ECM congress, Kraków, Poland, July 2--7 July, 2012. Zürich: European Mathematical Society (EMS). 503--513 (2013; Zbl 1364.35218) Full Text: DOI
Dubickas, Arturas; Puriuskis, Gintaras On the minimum of certain functional related to the Schrödinger equation. (English) Zbl 1340.35322 Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 8, 21 p. (2013). MSC: 35Q55 49J15 49K35 35B44 PDFBibTeX XMLCite \textit{A. Dubickas} and \textit{G. Puriuskis}, Electron. J. Qual. Theory Differ. Equ. 2013, Paper No. 8, 21 p. (2013; Zbl 1340.35322) Full Text: DOI Link
Berti, Massimiliano Quasi-periodic solutions of PDEs. (English) Zbl 1456.35010 Sémin. Laurent Schwartz, EDP Appl. 2011-2012, Exp. No. XXX, 11 p. (2013). MSC: 35B15 35L71 35Q55 37K55 PDFBibTeX XMLCite \textit{M. Berti}, Sémin. Laurent Schwartz, EDP Appl. 2011--2012, Exp. No. XXX, 11 p. (2013; Zbl 1456.35010) Full Text: DOI Numdam
Dohnal, Tomáš; Nagatou, Kaori; Plum, Michael; Reichel, Wolfgang Interfaces supporting surface gap soliton ground states in the 1D nonlinear Schrödinger equation. (English) Zbl 1315.34097 J. Math. Anal. Appl. 407, No. 2, 425-435 (2013). MSC: 34L40 78A40 58E50 34B10 81Q05 PDFBibTeX XMLCite \textit{T. Dohnal} et al., J. Math. Anal. Appl. 407, No. 2, 425--435 (2013; Zbl 1315.34097) Full Text: DOI arXiv
Ren, Xiufang; Geng, Jiansheng Lower dimensional invariant tori with prescribed frequency for the nonlinear Schrödinger equation. (English) Zbl 1308.35278 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 92, 30-46 (2013). MSC: 35Q55 37K55 35B15 70K43 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Geng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 92, 30--46 (2013; Zbl 1308.35278) Full Text: DOI
Yomba, Emmanuel; Zakeri, Gholam-Ali Solitons in a generalized space- and time-variable coefficients nonlinear Schrödinger equation with higher-order terms. (English) Zbl 1297.35222 Phys. Lett., A 377, No. 42, 2995-3004 (2013). MSC: 35Q55 35B10 35C08 PDFBibTeX XMLCite \textit{E. Yomba} and \textit{G.-A. Zakeri}, Phys. Lett., A 377, No. 42, 2995--3004 (2013; Zbl 1297.35222) Full Text: DOI
Killip, Rowan; Vişan, Monica Nonlinear Schrödinger equations at critical regularity. (English) Zbl 1298.35195 Ellwood, David (ed.) et al., Evolution equations. Proceedings of the Clay Mathematics Institute summer school, ETH, Zürich, Switzerland, June 23–July 18, 2008. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6861-4/pbk). Clay Mathematics Proceedings 17, 325-442 (2013). MSC: 35Q55 35B44 35B10 35B65 35C08 42B25 26A33 PDFBibTeX XMLCite \textit{R. Killip} and \textit{M. Vişan}, Clay Math. Proc. 17, 325--442 (2013; Zbl 1298.35195)
Purohit, S. D. Solutions of fractional partial differential equations of quantum mechanics. (English) Zbl 1288.35486 Adv. Appl. Math. Mech. 5, No. 5, 639-651 (2013). MSC: 35R11 35B10 81Q05 44A10 33C10 42B10 PDFBibTeX XMLCite \textit{S. D. Purohit}, Adv. Appl. Math. Mech. 5, No. 5, 639--651 (2013; Zbl 1288.35486) Full Text: DOI
Jones, Christopher K. R. T.; Latushkin, Yuri; Marangell, Robert The Morse and Maslov indices for matrix Hill’s equations. (English) Zbl 1326.53118 Holden, Helge (ed.) et al., Spectral analysis, differential equations and mathematical physics: A Festschrift in honor of Fritz Gesztesy’s 60th birthday. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-7574-2/hbk). Proceedings of Symposia in Pure Mathematics 87, 205-233 (2013). MSC: 53D12 34B30 37J25 70H12 PDFBibTeX XMLCite \textit{C. K. R. T. Jones} et al., Proc. Symp. Pure Math. 87, 205--233 (2013; Zbl 1326.53118) Full Text: arXiv
Zhang, Hui; Xu, Junxiang; Zhang, Fubao Ground state solutions for asymptotically periodic Schrödinger equations with critical growth. (English) Zbl 1291.35040 Electron. J. Differ. Equ. 2013, Paper No. 227, 16 p. (2013). MSC: 35J05 35J20 35J61 PDFBibTeX XMLCite \textit{H. Zhang} et al., Electron. J. Differ. Equ. 2013, Paper No. 227, 16 p. (2013; Zbl 1291.35040) Full Text: EMIS
Karpeshina, Yulia; Shterenberg, Roman Multiscale analysis in momentum space for quasi-periodic potential in dimension two. (English) Zbl 1292.81044 J. Math. Phys. 54, No. 7, 073507, 92 p. (2013). Reviewer: Michael Perelmuter (Kyïv) MSC: 81Q05 81Q10 31A30 28A80 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{R. Shterenberg}, J. Math. Phys. 54, No. 7, 073507, 92 p. (2013; Zbl 1292.81044) Full Text: DOI arXiv
Smirnov, A. O. Periodic two-phase “rogue waves”. (English. Russian original) Zbl 1286.35232 Math. Notes 94, No. 6, 897-907 (2013); translation from Mat. Zametki 94, No. 6, 871-883 (2013). MSC: 35Q55 76B15 PDFBibTeX XMLCite \textit{A. O. Smirnov}, Math. Notes 94, No. 6, 897--907 (2013; Zbl 1286.35232); translation from Mat. Zametki 94, No. 6, 871--883 (2013) Full Text: DOI
Geng, Jiansheng; Zhao, Zhiyan Quasi-periodic solutions for one-dimensional nonlinear lattice Schrödinger equation with tangent potential. (English) Zbl 1287.37053 SIAM J. Math. Anal. 45, No. 6, 3651-3689 (2013). Reviewer: Gheorghe Zet (Iaşi) MSC: 37K55 37K45 37K60 PDFBibTeX XMLCite \textit{J. Geng} and \textit{Z. Zhao}, SIAM J. Math. Anal. 45, No. 6, 3651--3689 (2013; Zbl 1287.37053) Full Text: DOI Link
Damanik, David; Gan, Zheng Limit-periodic Schrödinger operators on \(\mathbb Z^d\): uniform localization. (English) Zbl 1285.35005 J. Funct. Anal. 265, No. 3, 435-448 (2013). MSC: 35J10 PDFBibTeX XMLCite \textit{D. Damanik} and \textit{Z. Gan}, J. Funct. Anal. 265, No. 3, 435--448 (2013; Zbl 1285.35005) Full Text: DOI arXiv
Wang, Yuzhao Periodic cubic hyperbolic Schrödinger equation on \(\mathbb T^2\). (English) Zbl 1283.35130 J. Funct. Anal. 265, No. 3, 424-434 (2013). MSC: 35Q55 35L70 PDFBibTeX XMLCite \textit{Y. Wang}, J. Funct. Anal. 265, No. 3, 424--434 (2013; Zbl 1283.35130) Full Text: DOI arXiv
Allaire, Grégoire; Palombaro, Mariapia; Rauch, Jeffrey Diffraction of Bloch wave packets for Maxwell’s equations. (English) Zbl 1281.35083 Commun. Contemp. Math. 15, No. 6, Article ID 1350040, 36 p. (2013). MSC: 35Q61 35B40 35B27 35Q60 35B34 35J10 PDFBibTeX XMLCite \textit{G. Allaire} et al., Commun. Contemp. Math. 15, No. 6, Article ID 1350040, 36 p. (2013; Zbl 1281.35083) Full Text: DOI arXiv
Ren, Xiufang Quasi-periodic solutions of 1D nonlinear Schrödinger equation with a multiplicative potential. (English) Zbl 1317.37095 Taiwanese J. Math. 17, No. 6, 2191-2211 (2013). MSC: 37K55 35Q55 35B15 PDFBibTeX XMLCite \textit{X. Ren}, Taiwanese J. Math. 17, No. 6, 2191--2211 (2013; Zbl 1317.37095) Full Text: DOI Link
Procesi, C. The non linear Schrödinger equation on a torus. (English) Zbl 1296.35177 J. Ramanujan Math. Soc. 28A, Spec. Iss., 417-441 (2013). Reviewer: Rodica Luca (Iaşi) MSC: 35Q55 37L10 PDFBibTeX XMLCite \textit{C. Procesi}, J. Ramanujan Math. Soc. 28A, 417--441 (2013; Zbl 1296.35177)
Karpeshina, Yulia; Lee, Young-Ran Spectral properties of a limit-periodic Schrödinger operator in dimension two. (English) Zbl 1388.35133 J. Anal. Math. 120, 1-84 (2013). MSC: 35P05 37B05 35J10 35B10 47A10 PDFBibTeX XMLCite \textit{Y. Karpeshina} and \textit{Y.-R. Lee}, J. Anal. Math. 120, 1--84 (2013; Zbl 1388.35133) Full Text: DOI arXiv
Jones, Christopher K. R. T.; Marangell, Robert; Miller, Peter D.; Plaza, Ramón G. On the stability analysis of periodic sine-Gordon traveling waves. (English) Zbl 1278.35046 Physica D 251, 63-74 (2013). MSC: 35C07 81Q05 35B35 PDFBibTeX XMLCite \textit{C. K. R. T. Jones} et al., Physica D 251, 63--74 (2013; Zbl 1278.35046) Full Text: DOI arXiv
Wang, Jue Dynamics and long time convergence of the extended Fisher-Kolmogorov equation under numerical discretization. (English) Zbl 1289.65192 Commun. Math. Res. 29, No. 1, 51-60 (2013). MSC: 65M06 35B41 35Q55 65M12 PDFBibTeX XMLCite \textit{J. Wang}, Commun. Math. Res. 29, No. 1, 51--60 (2013; Zbl 1289.65192)
Xiao, Yafeng; Xue, Haili New multi-order envelope periodic solutions to the nonlinear Schrödinger equation. (Chinese. English summary) Zbl 1289.35315 J. North Univ. China, Nat. Sci. 34, No. 1, 1-4, 16 (2013). MSC: 35Q55 35B10 PDFBibTeX XMLCite \textit{Y. Xiao} and \textit{H. Xue}, J. North Univ. China, Nat. Sci. 34, No. 1, 1--4, 16 (2013; Zbl 1289.35315) Full Text: DOI
Ma, Shiwang; Wang, Zhi-Qiang Multibump solutions for discrete periodic nonlinear Schrödinger equations. (English) Zbl 1280.35139 Z. Angew. Math. Phys. 64, No. 5, 1413-1442 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 35Q51 39A12 39A70 78A40 PDFBibTeX XMLCite \textit{S. Ma} and \textit{Z.-Q. Wang}, Z. Angew. Math. Phys. 64, No. 5, 1413--1442 (2013; Zbl 1280.35139) Full Text: DOI
Kachkovskiĭ, I. Stein-Tomas theorem for a torus and the periodic Schrödinger operator with singular potential. (English) Zbl 1284.42021 St. Petersbg. Math. J. 24, No. 6, 939-948 (2013); translation from Algebra Anal. 24, No. 6, 124-138 (2012). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 42B10 35J10 42B37 PDFBibTeX XMLCite \textit{I. Kachkovskiĭ}, St. Petersbg. Math. J. 24, No. 6, 939--948 (2013; Zbl 1284.42021); translation from Algebra Anal. 24, No. 6, 124--138 (2012) Full Text: DOI
Procesi, Michela; Xu, Xindong Quasi-Töplitz functions in KAM theorem. (English) Zbl 1304.37056 SIAM J. Math. Anal. 45, No. 4, 2148-2181 (2013). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 37K55 35Q55 37J40 70H08 70K43 PDFBibTeX XMLCite \textit{M. Procesi} and \textit{X. Xu}, SIAM J. Math. Anal. 45, No. 4, 2148--2181 (2013; Zbl 1304.37056) Full Text: DOI arXiv
Kachkovskiy, I. V. Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder. (English. Russian original) Zbl 1273.35200 Funct. Anal. Appl. 47, No. 2, 104-112 (2013); translation from Funkts. Anal. Prilozh. 47, No. 2, 27-37 (2013). MSC: 35P20 47A60 35J10 81Q10 PDFBibTeX XMLCite \textit{I. V. Kachkovskiy}, Funct. Anal. Appl. 47, No. 2, 104--112 (2013; Zbl 1273.35200); translation from Funkts. Anal. Prilozh. 47, No. 2, 27--37 (2013) Full Text: DOI
Hakkaev, Sevdzhan; Iliev, Iliya D.; Kirchev, Kiril Stability of periodic traveling waves for the quadratic and cubic nonlinear schrödinger equations. (English) Zbl 1270.35081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350090, 20 p. (2013). MSC: 35B35 35Q55 35C07 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 5, Article ID 1350090, 20 p. (2013; Zbl 1270.35081) Full Text: DOI arXiv
Rahman, B. M. Azizur; Agrawal, Arti Finite element modeling methods for photonics. (English) Zbl 1279.78002 London: Artech House (ISBN 978-1-60807-531-7/hbk). xv, 247 p. (2013). Reviewer: Georg Hebermehl (Berlin) MSC: 78-02 78M10 78A25 78A60 65M60 65N30 65Z05 PDFBibTeX XMLCite \textit{B. M. A. Rahman} and \textit{A. Agrawal}, Finite element modeling methods for photonics. London: Artech House (2013; Zbl 1279.78002)
Geng, Jiansheng; Xu, Xindong Almost periodic solutions of one dimensional Schrödinger equation with the external parameters. (English) Zbl 1288.35431 J. Dyn. Differ. Equations 25, No. 2, 435-450 (2013). Reviewer: Qin Meng Zhao (Beijing) MSC: 35Q55 37K55 34K14 PDFBibTeX XMLCite \textit{J. Geng} and \textit{X. Xu}, J. Dyn. Differ. Equations 25, No. 2, 435--450 (2013; Zbl 1288.35431) Full Text: DOI
Geng, Jiansheng; You, Jiangong A KAM theorem for higher dimensional nonlinear Schrödinger equations. (English) Zbl 1358.37113 J. Dyn. Differ. Equations 25, No. 2, 451-476 (2013). MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. You}, J. Dyn. Differ. Equations 25, No. 2, 451--476 (2013; Zbl 1358.37113) Full Text: DOI
Chai, Lihui; Jin, Shi; Li, Qin Semi-classical models for the Schrödinger equation with periodic potentials and band crossings. (English) Zbl 1268.81058 Kinet. Relat. Models 6, No. 3, 505-532 (2013). MSC: 81Q05 53C35 81Q20 82D20 PDFBibTeX XMLCite \textit{L. Chai} et al., Kinet. Relat. Models 6, No. 3, 505--532 (2013; Zbl 1268.81058) Full Text: DOI
Zhang, Hui; Xu, Junxiang; Zhang, Fubao Positive ground states for asymptotically periodic Schrödinger-Poisson systems. (English) Zbl 1271.35022 Math. Methods Appl. Sci. 36, No. 4, 427-439 (2013). Reviewer: Andreas Kleefeld (Cottbus) MSC: 35J50 35J05 35J60 PDFBibTeX XMLCite \textit{H. Zhang} et al., Math. Methods Appl. Sci. 36, No. 4, 427--439 (2013; Zbl 1271.35022) Full Text: DOI
Pushkarev, A.; Zakharov, V. E. Quasibreathers in the MMT model. (English) Zbl 1308.76045 Physica D 248, 55-61 (2013). MSC: 76B25 35Q35 35B10 35C08 35Q55 35Q86 PDFBibTeX XMLCite \textit{A. Pushkarev} and \textit{V. E. Zakharov}, Physica D 248, 55--61 (2013; Zbl 1308.76045) Full Text: DOI arXiv
Katatbeh, Qutaibeh D.; Torres, Pedro J. Existence of periodic and solitary waves for a nonlinear Schrödinger equation with nonlocal integral term of convolution type. (English) Zbl 1261.35133 Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1136-1142 (2013). MSC: 35Q55 35C08 35B10 PDFBibTeX XMLCite \textit{Q. D. Katatbeh} and \textit{P. J. Torres}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 5, 1136--1142 (2013; Zbl 1261.35133) Full Text: DOI
Berti, Massimiliano; Bolle, Philippe Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential. (English) Zbl 1260.35196 J. Eur. Math. Soc. (JEMS) 15, No. 1, 229-286 (2013). MSC: 35Q55 37K55 37K50 PDFBibTeX XMLCite \textit{M. Berti} and \textit{P. Bolle}, J. Eur. Math. Soc. (JEMS) 15, No. 1, 229--286 (2013; Zbl 1260.35196) Full Text: DOI arXiv
Brown, B. Malcolm; Eastham, Michael S. P.; Schmidt, Karl Michael Periodic differential operators. (English) Zbl 1267.34001 Operator Theory: Advances and Applications 230. Basel: Birkhäuser (ISBN 978-3-0348-0527-8/hbk; 978-3-0348-0528-5/ebook). viii, 216 p. (2013). Reviewer: George Karakostas (Ioannina) MSC: 34-02 34L15 34L10 34C20 34A30 34B30 34L05 34L40 47A55 47E05 81Q05 81Q10 34L16 PDFBibTeX XMLCite \textit{B. M. Brown} et al., Periodic differential operators. Basel: Birkhäuser (2013; Zbl 1267.34001) Full Text: DOI
Chen, Ai Yong; Wen, Shuangquan; Huang, Wentao Existence and orbital stability of periodic wave solutions for the nonlinear Schrödinger equation. (English) Zbl 1304.35633 J. Appl. Anal. Comput. 2, No. 2, 137-148 (2012). MSC: 35Q55 35B10 35B35 PDFBibTeX XMLCite \textit{A. Y. Chen} et al., J. Appl. Anal. Comput. 2, No. 2, 137--148 (2012; Zbl 1304.35633)
Danilov, L. I. On the spectrum of a periodic Schrödinger operator with potential in the Morrey space. (Russian. English summary) Zbl 1299.35214 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 2012, No. 3, 25-47 (2012). MSC: 35P05 35J05 46E30 PDFBibTeX XMLCite \textit{L. I. Danilov}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 2012, No. 3, 25--47 (2012; Zbl 1299.35214) Full Text: DOI MNR
Cuccagna, Scipio; Marzuola, Jeremy L. On instability for the quintic nonlinear Schrödinger equation of some approximate periodic solutions. (English) Zbl 1292.35275 Indiana Univ. Math. J. 61, No. 6, 2053-2083 (2012). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q55 35B40 35B32 35B35 PDFBibTeX XMLCite \textit{S. Cuccagna} and \textit{J. L. Marzuola}, Indiana Univ. Math. J. 61, No. 6, 2053--2083 (2012; Zbl 1292.35275) Full Text: DOI arXiv Link
Geng, Jiansheng; Wu, Jian Real analytic quasi-periodic solutions for the derivative nonlinear Schrödinger equations. (English) Zbl 1337.35134 J. Math. Phys. 53, No. 10, 102702, 27 p. (2012). Reviewer: Luen-Chau Li (University Park) MSC: 35Q55 34L40 34C27 11D41 37K45 37K55 PDFBibTeX XMLCite \textit{J. Geng} and \textit{J. Wu}, J. Math. Phys. 53, No. 10, 102702, 27 p. (2012; Zbl 1337.35134) Full Text: DOI Link
Nazarov, S. A. On the spectrum of the Laplace operator on an infinite Dirichlet lattice. (On the spectrum of the Laplace operator on the infinite Dirichlet ladder.) (English. Russian original) Zbl 1273.35195 St. Petersbg. Math. J. 23, No. 6, 1023-1045 (2012); translation from Algebra Anal. 23, No. 6, 144-177 (2011). MSC: 35P05 35J05 35J10 PDFBibTeX XMLCite \textit{S. A. Nazarov}, St. Petersbg. Math. J. 23, No. 6, 1023--1045 (2012; Zbl 1273.35195); translation from Algebra Anal. 23, No. 6, 144--177 (2011) Full Text: DOI
Hunsicker, Eugenie; Li, Hengguang; Nistor, Victor; Uski, Ville Analysis of Schrödinger operators with inverse square potentials. I: Regularity results in 3D. (English) Zbl 1299.35055 Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 2, 157-178 (2012). Reviewer: Giuseppe Di Fazio (San Gregorio di Catania) MSC: 35B65 35B10 35J10 65N12 PDFBibTeX XMLCite \textit{E. Hunsicker} et al., Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 55(103), No. 2, 157--178 (2012; Zbl 1299.35055) Full Text: arXiv
Wan, Lili; Tang, Chunlei Existence of solutions for non-periodic superlinear Schrödinger equations without (AR) condition. (English) Zbl 1274.35363 Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 4, 1559-1570 (2012). MSC: 35Q55 37J45 PDFBibTeX XMLCite \textit{L. Wan} and \textit{C. Tang}, Acta Math. Sci., Ser. B, Engl. Ed. 32, No. 4, 1559--1570 (2012; Zbl 1274.35363) Full Text: DOI
Zhou, Jia-Yi; Li, Hua-Mei; He, Jun-Rong Analytical periodic wave and soliton solutions of the generalized nonautonomous nonlinear Schrödinger equation in harmonic and optical lattice potentials. (English) Zbl 1264.35216 Commun. Theor. Phys. 58, No. 3, 393-397 (2012). MSC: 35Q55 35C07 35C08 PDFBibTeX XMLCite \textit{J.-Y. Zhou} et al., Commun. Theor. Phys. 58, No. 3, 393--397 (2012; Zbl 1264.35216) Full Text: DOI
Yan, Fang; Liu, Haihong Bifurcation of phase and exact traveling wave solutions of a higher-order nonlinear Schrödinger equation. (English) Zbl 1258.34086 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250121, 11 p. (2012). MSC: 34C23 35Q55 35C07 34A05 34C37 34C05 PDFBibTeX XMLCite \textit{F. Yan} and \textit{H. Liu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 5, Paper No. 1250121, 11 p. (2012; Zbl 1258.34086) Full Text: DOI
Carvajal, X.; Gamboa, P.; Panthee, M. A system of coupled Schrödinger equations with time-oscillating nonlinearity. (English) Zbl 1401.35281 Int. J. Math. 23, No. 11, Paper No. 1250119, 22 p. (2012). MSC: 35Q55 35B10 35B30 35B45 PDFBibTeX XMLCite \textit{X. Carvajal} et al., Int. J. Math. 23, No. 11, Paper No. 1250119, 22 p. (2012; Zbl 1401.35281) Full Text: DOI
Chambrion, Thomas Periodic excitations of bilinear quantum systems. (English) Zbl 1258.93065 Automatica 48, No. 9, 2040-2046 (2012). MSC: 93C20 81Q93 93B60 PDFBibTeX XMLCite \textit{T. Chambrion}, Automatica 48, No. 9, 2040--2046 (2012; Zbl 1258.93065) Full Text: DOI arXiv
Gaillard, Pierre Wronskian representation of solutions of the NLS equation and higher Peregrine breathers. (English) Zbl 1260.35202 J. Math. Sci. Adv. Appl. 13, No. 2, 71-153 (2012). MSC: 35Q55 37K10 35B10 PDFBibTeX XMLCite \textit{P. Gaillard}, J. Math. Sci. Adv. Appl. 13, No. 2, 71--153 (2012; Zbl 1260.35202)
Makita, Percy D. Homoclinic orbits for second order Hamiltonian equations in \(\mathbb R\). (English) Zbl 1264.34090 J. Dyn. Differ. Equations 24, No. 4, 857-871 (2012). Reviewer: Anthony D. Osborne (Keele) MSC: 34C37 37J45 PDFBibTeX XMLCite \textit{P. D. Makita}, J. Dyn. Differ. Equations 24, No. 4, 857--871 (2012; Zbl 1264.34090) Full Text: DOI
Bentosela, F.; Bourrely, C.; Dermenjian, Y.; Soccorsi, E. On the guided states of 3D biperiodic Schrödinger operators. (English) Zbl 1264.35181 Commun. Partial Differ. Equations 37, No. 10-12, 1805-1838 (2012). MSC: 35Q40 81Q10 35J05 PDFBibTeX XMLCite \textit{F. Bentosela} et al., Commun. Partial Differ. Equations 37, No. 10--12, 1805--1838 (2012; Zbl 1264.35181) Full Text: DOI arXiv
Blower, Gordon A logarithmic Sobolev inequality for the invariant measure of the periodic Korteweg-de Vries equation. (English) Zbl 1253.35144 Stochastics 84, No. 4, 533-542 (2012). MSC: 35Q53 35Q55 35B10 PDFBibTeX XMLCite \textit{G. Blower}, Stochastics 84, No. 4, 533--542 (2012; Zbl 1253.35144) Full Text: DOI arXiv
Hou, Xuanji; You, Jiangong Almost reducibility and non-perturbative reducibility of quasi-periodic linear systems. (English) Zbl 1294.37027 Invent. Math. 190, No. 1, 209-260 (2012). Reviewer: Jens Rademacher (Bremen) MSC: 37J40 37C55 34C20 70K43 70H08 35J10 47A10 PDFBibTeX XMLCite \textit{X. Hou} and \textit{J. You}, Invent. Math. 190, No. 1, 209--260 (2012; Zbl 1294.37027) Full Text: DOI
Zhang, Ling; He, Jing Song; Cheng, Yi; Li, Yi Shen Surfaces and curves corresponding to the solutions generated from periodic “seed” of NLS equation. (English) Zbl 1257.37051 Acta Math. Sin., Engl. Ser. 28, No. 8, 1713-1726 (2012). Reviewer: Guixiang Xu (Beijing) MSC: 37K10 35Q51 35Q55 45M15 PDFBibTeX XMLCite \textit{L. Zhang} et al., Acta Math. Sin., Engl. Ser. 28, No. 8, 1713--1726 (2012; Zbl 1257.37051) Full Text: DOI
Angulo Pava, Jaime Instability of cnoidal-peak for the NLS-\(\delta\) equation. (English) Zbl 1326.81059 Math. Nachr. 285, No. 13, 1572-1602 (2012). MSC: 81Q05 35Q55 PDFBibTeX XMLCite \textit{J. Angulo Pava}, Math. Nachr. 285, No. 13, 1572--1602 (2012; Zbl 1326.81059) Full Text: DOI
Parnovski, Leonid; Shterenberg, Roman Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators. (English) Zbl 1260.35027 Ann. Math. (2) 176, No. 2, 1039-1096 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J10 47A10 35P99 47F05 81Q10 PDFBibTeX XMLCite \textit{L. Parnovski} and \textit{R. Shterenberg}, Ann. Math. (2) 176, No. 2, 1039--1096 (2012; Zbl 1260.35027) Full Text: DOI arXiv
Xu, Yuan-Fen Bifurcations of exact traveling wave solutions for (2+1)-dimensional HNLS equation. (English) Zbl 1247.35159 Commun. Theor. Phys. 57, No. 1, 68-70 (2012). MSC: 35Q55 35B32 35C07 35C08 76B25 PDFBibTeX XMLCite \textit{Y.-F. Xu}, Commun. Theor. Phys. 57, No. 1, 68--70 (2012; Zbl 1247.35159) Full Text: DOI
Khmelnytskaya, K. V.; Rosu, H. C. Bloch solutions of periodic Dirac equations in SPPS form. (English) Zbl 1254.34042 Ball, Joseph A. (ed.) et al., Recent progress in operator theory and its applications. Proceedings of the 20th international workshop on operator theory and applications (IWOTA), Guanajuato, Mexico, September 21–25, 2009. Basel: Birkhäuser (ISBN 978-3-0348-0345-8/hbk; 978-3-0348-0346-5/ebook). Operator Theory: Advances and Applications 220, 153-162 (2012). Reviewer: Petru A. Cojuhari (Kraków) MSC: 34B24 34C27 34L40 PDFBibTeX XMLCite \textit{K. V. Khmelnytskaya} and \textit{H. C. Rosu}, Oper. Theory: Adv. Appl. 220, 153--162 (2012; Zbl 1254.34042) Full Text: DOI arXiv
Simos, T. E. Optimizing a hybrid two-step method for the numerical solution of the Schrödinger equation and related problems with respect to phase-lag. (English) Zbl 1247.65096 J. Appl. Math. 2012, Article ID 420387, 17 p. (2012). MSC: 65L06 34L40 PDFBibTeX XMLCite \textit{T. E. Simos}, J. Appl. Math. 2012, Article ID 420387, 17 p. (2012; Zbl 1247.65096) Full Text: DOI
Martínez, Alejandro J.; Molina, Mario I. Diffusion in infinite and semi-infinite lattices with long-range coupling. (English) Zbl 1257.82071 J. Phys. A, Math. Theor. 45, No. 27, Article ID 275204, 8 p. (2012). Reviewer: Heinrich Hering (Rockenberg) MSC: 82C20 60J60 PDFBibTeX XMLCite \textit{A. J. Martínez} and \textit{M. I. Molina}, J. Phys. A, Math. Theor. 45, No. 27, Article ID 275204, 8 p. (2012; Zbl 1257.82071) Full Text: DOI arXiv Link
Liu, Haihong; Yan, Fang; Xu, Chenglin The bifurcation and exact travelling wave solutions of \((1 + 2)\)-dimensional nonlinear Schrödinger equation with dual-power law nonlinearity. (English) Zbl 1242.35082 Nonlinear Dyn. 67, No. 1, 465-473 (2012). MSC: 35C07 35Q55 PDFBibTeX XMLCite \textit{H. Liu} et al., Nonlinear Dyn. 67, No. 1, 465--473 (2012; Zbl 1242.35082) Full Text: DOI
Lenells, J.; Fokas, A. S. The unified method. II: NLS on the half-line with \(t\)-periodic boundary conditions. (English) Zbl 1256.35045 J. Phys. A, Math. Theor. 45, No. 19, Article ID 195202, 36 p. (2012). Reviewer: Andrei A. Kapaev (Trieste) MSC: 35Q15 37K15 PDFBibTeX XMLCite \textit{J. Lenells} and \textit{A. S. Fokas}, J. Phys. A, Math. Theor. 45, No. 19, Article ID 195202, 36 p. (2012; Zbl 1256.35045) Full Text: DOI arXiv
Gao, Meina; Liu, Jianjun Quasi-periodic solutions for derivative nonlinear Schrödinger equation. (English) Zbl 1384.37100 Discrete Contin. Dyn. Syst. 32, No. 6, 2101-2123 (2012). MSC: 37K55 35Q55 35B15 PDFBibTeX XMLCite \textit{M. Gao} and \textit{J. Liu}, Discrete Contin. Dyn. Syst. 32, No. 6, 2101--2123 (2012; Zbl 1384.37100) Full Text: DOI
Chen, Huei-Shuang; Chang, Shing-Lin; Chien, Cheng-Sheng Spectral collocation methods using sine functions for a rotating Bose-Einstein condensation in optical lattices. (English) Zbl 1246.82030 J. Comput. Phys. 231, No. 4, 1553-1569 (2012). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 82B26 35Q55 82-08 65M70 82D50 PDFBibTeX XMLCite \textit{H.-S. Chen} et al., J. Comput. Phys. 231, No. 4, 1553--1569 (2012; Zbl 1246.82030) Full Text: DOI
Carles, Rémi; Sparber, Christof Semiclassical wave packet dynamics in Schrödinger equations with periodic potentials. (English) Zbl 1238.81120 Discrete Contin. Dyn. Syst., Ser. B 17, No. 3, 759-774 (2012). MSC: 81Q20 35A35 35Q40 81Q05 81Q10 PDFBibTeX XMLCite \textit{R. Carles} and \textit{C. Sparber}, Discrete Contin. Dyn. Syst., Ser. B 17, No. 3, 759--774 (2012; Zbl 1238.81120) Full Text: DOI arXiv
Mi, Lufang Quasi-periodic solutions of derivative nonlinear Schrödinger equations with a given potential. (English) Zbl 1234.35250 J. Math. Anal. Appl. 390, No. 1, 335-354 (2012). MSC: 35Q55 35B10 PDFBibTeX XMLCite \textit{L. Mi}, J. Math. Anal. Appl. 390, No. 1, 335--354 (2012; Zbl 1234.35250) Full Text: DOI
Miyazawa, Toru Low-energy expansion formula for one-dimensional Fokker-Planck and Schrödinger equations with asymptotically periodic potentials. (English) Zbl 1235.81069 J. Phys. A, Math. Theor. 45, No. 3, Article ID 035302, 36 p. (2012). MSC: 81Q05 82C31 34L40 34B27 PDFBibTeX XMLCite \textit{T. Miyazawa}, J. Phys. A, Math. Theor. 45, No. 3, Article ID 035302, 36 p. (2012; Zbl 1235.81069) Full Text: DOI arXiv
Lai, Xian-Jing Chirped waves for a generalized \((2+1)\)-dimensional nonlinear Schrödinger equation. (English) Zbl 1264.35221 Commun. Theor. Phys. 55, No. 4, 555-559 (2011). MSC: 35Q55 35C08 35C07 PDFBibTeX XMLCite \textit{X.-J. Lai}, Commun. Theor. Phys. 55, No. 4, 555--559 (2011; Zbl 1264.35221) Full Text: DOI
Zhao, Xue-Qin; Meng, Fanwei; Tian, Chengdong Doubly periodic solutions for the \((2+1)\)-dimensional Davey-Stewartson equation. (English) Zbl 1251.35154 Int. J. Inf. Sci. Comput. Math. 3, No. 2, 109-118 (2011). MSC: 35Q55 35B10 35G20 PDFBibTeX XMLCite \textit{X.-Q. Zhao} et al., Int. J. Inf. Sci. Comput. Math. 3, No. 2, 109--118 (2011; Zbl 1251.35154) Full Text: Link
Puriuškis, Gintaras An estimate for certain functional and its application. (English) Zbl 1232.35158 Šiauliai Math. Semin. 6(14), 47-52 (2011). MSC: 35Q55 35B44 35B10 PDFBibTeX XMLCite \textit{G. Puriuškis}, Šiauliai Math. Semin. 6(14), 47--52 (2011; Zbl 1232.35158)
Dimassi, Mouez; Zerzeri, Maher Spectral shift function for perturbed periodic Schrödinger operators. The large-coupling constant limit case. (English) Zbl 1255.81152 Asymptotic Anal. 75, No. 3-4, 233-250 (2011). Reviewer: Miyeon Kwon (Platteville) MSC: 81Q10 81Q05 35J10 35C20 PDFBibTeX XMLCite \textit{M. Dimassi} and \textit{M. Zerzeri}, Asymptotic Anal. 75, No. 3--4, 233--250 (2011; Zbl 1255.81152) Full Text: arXiv Link
Puig, Joaquim; Simó, Carles Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. (English) Zbl 1237.37023 J. Dyn. Differ. Equations 23, No. 3, 649-669 (2011). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37B55 35J10 37M25 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, J. Dyn. Differ. Equations 23, No. 3, 649--669 (2011; Zbl 1237.37023) Full Text: DOI Link
Jin, Shi; Markowich, Peter; Sparber, Christof Mathematical and computational methods for semiclassical Schrödinger equations. (English) Zbl 1233.65071 Acta Numerica 20, 121-209 (2011). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65M70 35Q41 65-02 PDFBibTeX XMLCite \textit{S. Jin} et al., Acta Numerica 20, 121--209 (2011; Zbl 1233.65071) Full Text: DOI
Markowich, Peter A. Numerical analysis of Schrödinger equations in the highly oscillatory regime. (English) Zbl 1228.65146 Bhatia, Rajendra (ed.) et al., Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19–27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency (ISBN 978-981-4324-34-2/hbk; 978-81-85931-08-3/hbk; 978-981-4324-31-1/set; 978-981-4324-35-9/ebook). 2776-2804 (2011). MSC: 65M06 65M70 35Q55 35Q41 65M12 PDFBibTeX XMLCite \textit{P. A. Markowich}, in: Proceedings of the international congress of mathematicians (ICM 2010), Hyderabad, India, August 19--27, 2010. Vol. IV: Invited lectures. Hackensack, NJ: World Scientific; New Delhi: Hindustan Book Agency. 2776--2804 (2011; Zbl 1228.65146) Full Text: Link
Moameni, Abbas Stability under \(\Gamma\)-convergence of least energy solutions for semilinear problems in the whole \(\mathbb R^N\). (English) Zbl 1231.35015 SIAM J. Math. Anal. 43, No. 4, 1759-1786 (2011). Reviewer: Adrian Muntean (Eindhoven) MSC: 35B27 35J20 35J61 35J10 PDFBibTeX XMLCite \textit{A. Moameni}, SIAM J. Math. Anal. 43, No. 4, 1759--1786 (2011; Zbl 1231.35015) Full Text: DOI
Pelinovsky, Dmitry E. Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. (English) Zbl 1229.35003 London Mathematical Society Lecture Note Series 390. Cambridge: Cambridge University Press (ISBN 978-1-107-62154-1/pbk). x, 398 p. (2011). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35-02 35Q55 35Q51 35C08 35Q40 PDFBibTeX XMLCite \textit{D. E. Pelinovsky}, Localization in periodic potentials. From Schrödinger operators to the Gross-Pitaevskii equation. Cambridge: Cambridge University Press (2011; Zbl 1229.35003)
Berti, Massimiliano; Procesi, Michela Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. (English) Zbl 1260.37045 Duke Math. J. 159, No. 3, 479-538 (2011). Reviewer: Jiansheng Geng (Nanjing) MSC: 37K55 58C15 58J45 35Q55 37G15 PDFBibTeX XMLCite \textit{M. Berti} and \textit{M. Procesi}, Duke Math. J. 159, No. 3, 479--538 (2011; Zbl 1260.37045) Full Text: DOI
Yang, Minbo Standing waves to discrete vector nonlinear Schrödinger equation. (English) Zbl 1244.35139 J. Difference Equ. Appl. 17, No. 10, 1455-1469 (2011). Reviewer: M. Marin (Brasov) MSC: 35Q55 39A12 35B38 PDFBibTeX XMLCite \textit{M. Yang}, J. Difference Equ. Appl. 17, No. 10, 1455--1469 (2011; Zbl 1244.35139) Full Text: DOI
Dobrokhotov, Sergey; Rouleux, Michel The semi-classical Maupertuis-Jacobi correspondence for quasi-periodic Hamiltonian flows with applications to linear water waves theory. (English) Zbl 1242.37042 Asymptotic Anal. 74, No. 1-2, 33-73 (2011). MSC: 37J45 76B15 53D12 35J10 37N10 PDFBibTeX XMLCite \textit{S. Dobrokhotov} and \textit{M. Rouleux}, Asymptotic Anal. 74, No. 1--2, 33--73 (2011; Zbl 1242.37042) Full Text: Link
Hoefer, M. A.; Weinstein, M. I. Defect modes and homogenization of periodic Schrödinger operators. (English) Zbl 1242.35032 SIAM J. Math. Anal. 43, No. 2, 971-996 (2011). Reviewer: Marco Codegone (Torino) MSC: 35B27 35B32 35C20 35J10 PDFBibTeX XMLCite \textit{M. A. Hoefer} and \textit{M. I. Weinstein}, SIAM J. Math. Anal. 43, No. 2, 971--996 (2011; Zbl 1242.35032) Full Text: DOI arXiv
Hakl, Robert; Torres, Pedro J. A combined variational-topological approach for dispersion-managed solitons in optical fibers. (English) Zbl 1232.35153 Z. Angew. Math. Phys. 62, No. 2, 245-266 (2011). Reviewer: Shoukry S. Hassan (Bahrain) MSC: 35Q55 35B10 78A60 PDFBibTeX XMLCite \textit{R. Hakl} and \textit{P. J. Torres}, Z. Angew. Math. Phys. 62, No. 2, 245--266 (2011; Zbl 1232.35153) Full Text: DOI
Blank, Elisabeth; Dohnal, Tomáš Families of surface gap solitons and their stability via the numerical Evans function method. (English) Zbl 1219.35277 SIAM J. Appl. Dyn. Syst. 10, No. 2, 667-706 (2011). MSC: 35Q55 35B35 65L15 78A40 PDFBibTeX XMLCite \textit{E. Blank} and \textit{T. Dohnal}, SIAM J. Appl. Dyn. Syst. 10, No. 2, 667--706 (2011; Zbl 1219.35277) Full Text: DOI arXiv
Aydın, A.; Karasözen, B. Lobatto IIIA-IIIB discretization of the strongly coupled nonlinear Schrödinger equation. (English) Zbl 1220.65176 J. Comput. Appl. Math. 235, No. 16, 4770-4779 (2011). MSC: 65P10 37K05 37M15 37K40 65L06 35Q55 PDFBibTeX XMLCite \textit{A. Aydın} and \textit{B. Karasözen}, J. Comput. Appl. Math. 235, No. 16, 4770--4779 (2011; Zbl 1220.65176) Full Text: DOI
Fedotov, A. A. Adiabatic almost-periodic Schrödinger operators. (English. Russian original) Zbl 1237.34147 J. Math. Sci., New York 173, No. 3, 299-319 (2011); translation from Zap. Nauchn. Semin. POMI 379, 103-141 (2010). Reviewer: Khanlar R. Mamedov (Artvin) MSC: 34L40 47E05 PDFBibTeX XMLCite \textit{A. A. Fedotov}, J. Math. Sci., New York 173, No. 3, 299--319 (2011; Zbl 1237.34147); translation from Zap. Nauchn. Semin. POMI 379, 103--141 (2010) Full Text: DOI
Chow, K. W.; Ng, T. W. Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind. (English) Zbl 1216.35133 J. Comput. Appl. Math. 235, No. 13, 3825-3830 (2011). MSC: 35Q55 35Q60 37K10 35B10 PDFBibTeX XMLCite \textit{K. W. Chow} and \textit{T. W. Ng}, J. Comput. Appl. Math. 235, No. 13, 3825--3830 (2011; Zbl 1216.35133) Full Text: DOI
Wang, W.-M. Eigenfunction localization for the 2D periodic Schrödinger operator. (English) Zbl 1229.35154 Int. Math. Res. Not. 2011, No. 8, 1804-1838 (2011). Reviewer: Ti-Jun Xiao (Fudan) MSC: 35P05 35J10 81Q10 PDFBibTeX XMLCite \textit{W. M. Wang}, Int. Math. Res. Not. 2011, No. 8, 1804--1838 (2011; Zbl 1229.35154) Full Text: DOI arXiv
Fokas, Athanasios S.; Himonas, A. Alexandrou Well-posedness of an integrable generalization of the nonlinear Schrödinger equation on the circle. (English) Zbl 1216.35136 Lett. Math. Phys. 96, No. 1-3, 169-189 (2011). MSC: 35Q55 35A01 35A02 65M60 35A24 PDFBibTeX XMLCite \textit{A. S. Fokas} and \textit{A. A. Himonas}, Lett. Math. Phys. 96, No. 1--3, 169--189 (2011; Zbl 1216.35136) Full Text: DOI
Allain, Geneviève; Beaulieu, Anne Solutions on a torus for a semilinear equation. (English) Zbl 1216.35047 Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 371-382 (2011). MSC: 35J61 35B09 35B10 35B40 35Q55 PDFBibTeX XMLCite \textit{G. Allain} and \textit{A. Beaulieu}, Proc. R. Soc. Edinb., Sect. A, Math. 141, No. 2, 371--382 (2011; Zbl 1216.35047) Full Text: DOI
Tomio, Lauro; Abdullaev, F. K.; da Luz, H. L. F.; Gammal, A. Stability of BEC systems in nonlinear optical lattices. (English) Zbl 1218.35228 Tenreiro Machado, J. A. (ed.) et al., Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC ’08, Porto, Portugal, July 28–31, 2008. Berlin: Springer (ISBN 978-90-481-9883-2/hbk; 978-90-481-9884-9/ebook). 165-172 (2011). Reviewer: Vladimir Răsvan (Craiova) MSC: 35Q55 37K40 37K45 37K60 PDFBibTeX XMLCite \textit{L. Tomio} et al., in: Nonlinear science and complexity. Based on the 2nd conference on nonlinear science and complexity, NSC '08, Porto, Portugal, July 28--31, 2008. Berlin: Springer. 165--172 (2011; Zbl 1218.35228) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. (English) Zbl 1232.37012 Regul. Chaotic Dyn. 16, No. 1-2, 61-78 (2011). Reviewer: Antonio Linero Bas (Murcia) MSC: 37B55 35J10 34B30 65L99 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, Regul. Chaotic Dyn. 16, No. 1--2, 61--78 (2011; Zbl 1232.37012) Full Text: DOI
Fečkan, Michal; Rothos, Vassilis M. Travelling waves of forced discrete nonlinear Schrödinger equations. (English) Zbl 1237.34012 Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1129-1145 (2011). Reviewer: Qintao Gan (Shijiazhuang) MSC: 34A33 34C25 58E50 PDFBibTeX XMLCite \textit{M. Fečkan} and \textit{V. M. Rothos}, Discrete Contin. Dyn. Syst., Ser. S 4, No. 5, 1129--1145 (2011; Zbl 1237.34012) Full Text: DOI
Geng, Jiansheng; Xu, Xindong; You, Jiangong An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation. (English) Zbl 1213.37104 Adv. Math. 226, No. 6, 5361-5402 (2011). Reviewer: Chuangan Hu (Cupertino) MSC: 37K55 35B10 35Q55 PDFBibTeX XMLCite \textit{J. Geng} et al., Adv. Math. 226, No. 6, 5361--5402 (2011; Zbl 1213.37104) Full Text: DOI
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian Photonic crystals. Mathematical analysis and numerical approximation. (English) Zbl 1238.78001 Oberwolfach Seminars 42. Berlin: Springer (ISBN 978-3-0348-0112-6/pbk; 978-3-0348-0113-3/ebook). viii, 162 p. (2011). Reviewer: Ana M. Alonso Rodriguez (Povo) MSC: 78-02 65Z05 78Mxx 78A45 78A46 78A60 PDFBibTeX XMLCite \textit{W. Dörfler} et al., Photonic crystals. Mathematical analysis and numerical approximation. Berlin: Springer (2011; Zbl 1238.78001) Full Text: DOI
Xu, Gui-Qiong New types of exact solutions for the fourth-order dispersive cubic-quintic nonlinear Schrödinger equation. (English) Zbl 1210.35241 Appl. Math. Comput. 217, No. 12, 5967-5971 (2011). MSC: 35Q55 35Q51 35C08 35A24 35B10 PDFBibTeX XMLCite \textit{G.-Q. Xu}, Appl. Math. Comput. 217, No. 12, 5967--5971 (2011; Zbl 1210.35241) Full Text: DOI
Vorobets, Mariya On the Bethe-Sommerfeld conjecture for certain periodic Maxwell operators. (English) Zbl 1213.47055 J. Math. Anal. Appl. 377, No. 1, 370-383 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 47G30 47A10 35Q61 35J10 35P20 PDFBibTeX XMLCite \textit{M. Vorobets}, J. Math. Anal. Appl. 377, No. 1, 370--383 (2011; Zbl 1213.47055) Full Text: DOI arXiv
Košťáková, P.; Šťovíček, P. Noncommutative Bloch analysis of Bochner Laplacians with nonvanishing gauge fields. (English) Zbl 1207.81021 J. Geom. Phys. 61, No. 3, 727-744 (2011). MSC: 81Q05 81Q70 58J70 53C80 35J10 PDFBibTeX XMLCite \textit{P. Košťáková} and \textit{P. Šťovíček}, J. Geom. Phys. 61, No. 3, 727--744 (2011; Zbl 1207.81021) Full Text: DOI arXiv
Pöschel, Jürgen Hill’s potentials in weighted Sobolev spaces and their spectral gaps. (English) Zbl 1215.34109 Math. Ann. 349, No. 2, 433-458 (2011). Reviewer: Khanlar R. Mamedov (Mersin) MSC: 34L40 34L05 34B05 34B24 34A55 PDFBibTeX XMLCite \textit{J. Pöschel}, Math. Ann. 349, No. 2, 433--458 (2011; Zbl 1215.34109) Full Text: DOI arXiv