Huang, Qiumei; Jiang, Kun; Li, Jingwei Exponential time differencing schemes for the Peng-Robinson equation of state with preservation of maximum bound principle. (English) Zbl 07480226 Adv. Appl. Math. Mech. 14, No. 2, 494-527 (2022). MSC: 35B50 35K55 65M12 PDF BibTeX XML Cite \textit{Q. Huang} et al., Adv. Appl. Math. Mech. 14, No. 2, 494--527 (2022; Zbl 07480226) Full Text: DOI OpenURL
Liu, Yongchao; Zhu, Qidan Neural network-based asymptotic tracking control design for stochastic nonlinear systems. (English) Zbl 1483.93295 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 14, 2947-2960 (2021). MSC: 93C40 93B70 93E03 93C10 PDF BibTeX XML Cite \textit{Y. Liu} and \textit{Q. Zhu}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 14, 2947--2960 (2021; Zbl 1483.93295) Full Text: DOI OpenURL
Farmer, Leland E. The discretization filter: a simple way to estimate nonlinear state space models. (English) Zbl 1477.62367 Quant. Econ. 12, No. 1, 41-76 (2021). MSC: 62P20 62M02 62M20 PDF BibTeX XML Cite \textit{L. E. Farmer}, Quant. Econ. 12, No. 1, 41--76 (2021; Zbl 1477.62367) Full Text: DOI OpenURL
Xu, Xingliang; Zhang, Yongshuai; Xu, Shuwei The multiple solitons of the short pulse equation. (English) Zbl 1473.35099 Math. Methods Appl. Sci. 44, No. 13, 10653-10662 (2021). MSC: 35C08 35G25 35A09 45Q05 PDF BibTeX XML Cite \textit{X. Xu} et al., Math. Methods Appl. Sci. 44, No. 13, 10653--10662 (2021; Zbl 1473.35099) Full Text: DOI OpenURL
Alotaibi, M. O. D.; Baizakov, B. B.; Al-Marzoug, S. M.; Bahlouli, H. Splitting of coupled bright solitons in two-component Bose-Einstein condensates under parametric perturbation. (English) Zbl 1479.35758 Phys. Lett., A 384, No. 11, Article ID 126243, 5 p. (2020). MSC: 35Q55 35Q41 35C08 35B20 35B05 82D05 82C10 PDF BibTeX XML Cite \textit{M. O. D. Alotaibi} et al., Phys. Lett., A 384, No. 11, Article ID 126243, 5 p. (2020; Zbl 1479.35758) Full Text: DOI OpenURL
Huang, Lirong; Chen, Jianqing Existence and asymptotic behavior of bound states for a class of nonautonomous Schrödinger-Poisson system. (English) Zbl 1448.35166 Electron Res. Arch. 28, No. 1, 383-404 (2020). MSC: 35J47 35J60 PDF BibTeX XML Cite \textit{L. Huang} and \textit{J. Chen}, Electron Res. Arch. 28, No. 1, 383--404 (2020; Zbl 1448.35166) Full Text: DOI OpenURL
Liang, Wenning; Zhai, Chengbo Existence of bound state solutions for the generalized Chern-Simons-Schrödinger system in \(H^1(\mathbb{R}^2)\). (English) Zbl 1430.35080 Appl. Math. Lett. 100, Article ID 106028, 7 p. (2020). MSC: 35J47 35J10 35J60 35A01 PDF BibTeX XML Cite \textit{W. Liang} and \textit{C. Zhai}, Appl. Math. Lett. 100, Article ID 106028, 7 p. (2020; Zbl 1430.35080) Full Text: DOI OpenURL
Zhang, Yongshuai; Xu, Shuwei The soliton solutions for the Wadati-Konno-Ichikawa equation. (English) Zbl 1426.35070 Appl. Math. Lett. 99, Article ID 105995, 7 p. (2020). MSC: 35C08 35Q55 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{S. Xu}, Appl. Math. Lett. 99, Article ID 105995, 7 p. (2020; Zbl 1426.35070) Full Text: DOI OpenURL
Kamali, Sara; Tabatabaei, Seyyed Mostafa; Arefi, Mohammad Mehdi; Jahed-Motlagh, Mohammad Reza Prescribed performance adaptive neural output control for a class of switched nonstrict-feedback nonlinear time-delay systems: state-dependent switching law approach. (English) Zbl 1416.93104 Int. J. Robust Nonlinear Control 29, No. 6, 1734-1757 (2019). MSC: 93C40 93C30 93C10 93B52 93C41 PDF BibTeX XML Cite \textit{S. Kamali} et al., Int. J. Robust Nonlinear Control 29, No. 6, 1734--1757 (2019; Zbl 1416.93104) Full Text: DOI OpenURL
Troy, W. C. New singular standing wave solutions of the nonlinear Schrödinger equation. (English) Zbl 1415.34057 J. Differ. Equations 267, No. 2, 979-1000 (2019). MSC: 34B40 34C11 34B16 45G05 PDF BibTeX XML Cite \textit{W. C. Troy}, J. Differ. Equations 267, No. 2, 979--1000 (2019; Zbl 1415.34057) Full Text: DOI OpenURL
Luo, Haijun; Zhang, Zhitao Existence and nonexistence of bound state solutions for Schrödinger systems with linear and nonlinear couplings. (English) Zbl 1418.35101 J. Math. Anal. Appl. 475, No. 1, 350-363 (2019). MSC: 35J10 35J47 PDF BibTeX XML Cite \textit{H. Luo} and \textit{Z. Zhang}, J. Math. Anal. Appl. 475, No. 1, 350--363 (2019; Zbl 1418.35101) Full Text: DOI OpenURL
Adami, Riccardo; Serra, Enrico; Tilli, Paolo Multiple positive bound states for the subcritical NLS equation on metric graphs. (English) Zbl 1405.35236 Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 5, 16 p. (2019). Reviewer: Alain Brillard (Riedisheim) MSC: 35R02 35Q55 81Q35 49J40 PDF BibTeX XML Cite \textit{R. Adami} et al., Calc. Var. Partial Differ. Equ. 58, No. 1, Paper No. 5, 16 p. (2019; Zbl 1405.35236) Full Text: DOI arXiv OpenURL
Zhang, Guoqing; Gu, Tongmu Stable solitary waves for a class of nonlinear Schrödinger system with quadratic interaction. (English) Zbl 1424.35140 Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 97, 14 p. (2018). MSC: 35J20 35J60 PDF BibTeX XML Cite \textit{G. Zhang} and \textit{T. Gu}, Electron. J. Qual. Theory Differ. Equ. 2018, Paper No. 97, 14 p. (2018; Zbl 1424.35140) Full Text: DOI OpenURL
Yang, Jin-Wei; Gao, Yi-Tian; Su, Chuan-Qi; Zuo, Da-Wei; Feng, Yu-Jie Solitons and quasi-periodic behaviors in an inhomogeneous optical fiber. (English) Zbl 1473.78003 Commun. Nonlinear Sci. Numer. Simul. 42, 477-490 (2017). MSC: 78A20 35Q55 35B15 35C08 PDF BibTeX XML Cite \textit{J.-W. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 42, 477--490 (2017; Zbl 1473.78003) Full Text: DOI OpenURL
Li, Guangqi; Lin, Yan; Zhang, Xu Global state feedback stabilisation for a class of high-order nonlinear systems with quantised input and state. (English) Zbl 1362.93118 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 5, 921-929 (2017). MSC: 93D15 93C10 93D20 93C15 PDF BibTeX XML Cite \textit{G. Li} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 5, 921--929 (2017; Zbl 1362.93118) Full Text: DOI OpenURL
Dias, João-Paulo; Oliveira, Filipe On a quasilinear nonlocal Benney system. (English) Zbl 1387.35562 J. Hyperbolic Differ. Equ. 14, No. 1, 135-156 (2017). Reviewer: Nikolaos L. Tsitsas (Athens) MSC: 35Q60 35L52 35D30 35D35 35B44 78A37 76B15 35R09 PDF BibTeX XML Cite \textit{J.-P. Dias} and \textit{F. Oliveira}, J. Hyperbolic Differ. Equ. 14, No. 1, 135--156 (2017; Zbl 1387.35562) Full Text: DOI arXiv OpenURL
do Ó, João Marcos; Sani, Federica; Zhang, Jianjun Stationary nonlinear Schrödinger equations in \(\mathbb {R}^2\) with potentials vanishing at infinity. (English) Zbl 1365.35168 Ann. Mat. Pura Appl. (4) 196, No. 1, 363-393 (2017). Reviewer: Nakazono Nobutaka (Kanagawa) MSC: 35Q55 35J91 35A23 35J20 PDF BibTeX XML Cite \textit{J. M. do Ó} et al., Ann. Mat. Pura Appl. (4) 196, No. 1, 363--393 (2017; Zbl 1365.35168) Full Text: DOI OpenURL
Xie, Qilin; Ma, Shiwang; Zhang, Xu Bound state solutions of Schrödinger-Poisson system with critical exponent. (English) Zbl 1356.35107 Discrete Contin. Dyn. Syst. 37, No. 1, 605-625 (2017). MSC: 35J20 35J60 35B33 PDF BibTeX XML Cite \textit{Q. Xie} et al., Discrete Contin. Dyn. Syst. 37, No. 1, 605--625 (2017; Zbl 1356.35107) Full Text: DOI OpenURL
Rui, Pinshu; Zhang, Wen; Liao, Yanlin; Zhang, Ziyun Remote quantum information concentration via weak cross-Kerr nonlinearity. (English) Zbl 1358.81040 Int. J. Theor. Phys. 55, No. 11, 4798-4808 (2016). MSC: 81P40 81P15 78A60 81V80 PDF BibTeX XML Cite \textit{P. Rui} et al., Int. J. Theor. Phys. 55, No. 11, 4798--4808 (2016; Zbl 1358.81040) Full Text: DOI OpenURL
Cerami, Giovanna; Molle, Riccardo Positive bound state solutions for some Schrödinger-Poisson systems. (English) Zbl 1408.35022 Nonlinearity 29, No. 10, 3103-3119 (2016). MSC: 35J20 35J60 35Q55 PDF BibTeX XML Cite \textit{G. Cerami} and \textit{R. Molle}, Nonlinearity 29, No. 10, 3103--3119 (2016; Zbl 1408.35022) Full Text: DOI OpenURL
Silwal, Sharad Existence of bound states for \((N+1)\)-coupled long-wave-short-wave interaction equations. (English) Zbl 1351.35175 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 5, 365-377 (2016). MSC: 35Q53 35Q55 35A15 35B35 PDF BibTeX XML Cite \textit{S. Silwal}, Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 23, No. 5, 365--377 (2016; Zbl 1351.35175) Full Text: arXiv Link OpenURL
Xie, Qilin; Ma, Shiwang; Zhang, Xu Bound state solutions of Kirchhoff type problems with critical exponent. (English) Zbl 1345.35038 J. Differ. Equations 261, No. 2, 890-924 (2016). Reviewer: Leszek Gasiński (Kraków) MSC: 35J60 47J30 35J20 35B33 PDF BibTeX XML Cite \textit{Q. Xie} et al., J. Differ. Equations 261, No. 2, 890--924 (2016; Zbl 1345.35038) Full Text: DOI OpenURL
Turmanov, B. Kh.; Baizakov, B. B.; Umarov, B. A.; Abdullaev, F. Kh. Vibration spectrum of a two-soliton molecule in dipolar Bose-Einstein condensates. (English) Zbl 1343.35216 Phys. Lett., A 379, No. 32-33, 1828-1832 (2015). MSC: 35Q55 37M05 35C08 82C22 PDF BibTeX XML Cite \textit{B. Kh. Turmanov} et al., Phys. Lett., A 379, No. 32--33, 1828--1832 (2015; Zbl 1343.35216) Full Text: DOI OpenURL
Stuart, C. A. Bifurcation without Fréchet differentiability at the trivial solution. (English) Zbl 1372.47071 Math. Methods Appl. Sci. 38, No. 16, 3444-3463 (2015). Reviewer: Jesús Hernández (Madrid) MSC: 47J15 35J60 47J30 35P30 47J10 35B32 47-02 PDF BibTeX XML Cite \textit{C. A. Stuart}, Math. Methods Appl. Sci. 38, No. 16, 3444--3463 (2015; Zbl 1372.47071) Full Text: DOI OpenURL
Ali, Amir; Susanto, Hadi; D. Wattis, Jonathan A. Decay of bound states in a sine-Gordon equation with double-well potentials. (English) Zbl 1319.35233 J. Math. Phys. 56, No. 5, 051502, 28 p. (2015). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 35Q55 35L70 82D55 PDF BibTeX XML Cite \textit{A. Ali} et al., J. Math. Phys. 56, No. 5, 051502, 28 p. (2015; Zbl 1319.35233) Full Text: DOI Link OpenURL
Lin, Junshan; Santosa, Fadil Scattering resonances for a two-dimensional potential well with a thick barrier. (English) Zbl 1321.35119 SIAM J. Math. Anal. 47, No. 2, 1458-1488 (2015). Reviewer: Takashi Ichinose (Kanazawa) MSC: 35P25 35B34 35J10 35B20 35P30 78A45 PDF BibTeX XML Cite \textit{J. Lin} and \textit{F. Santosa}, SIAM J. Math. Anal. 47, No. 2, 1458--1488 (2015; Zbl 1321.35119) Full Text: DOI Link OpenURL
Stuart, C. A. Bifurcation at isolated eigenvalues for some elliptic equations on \(\mathbb{R}^{N}\). (English) Zbl 1333.35145 de Figueiredo, Djairo G. (ed.) et al., Analysis and topology in nonlinear differential equations. A tribute to Bernhard Ruf on the occasion of his 60th birthday. Selected papers based on the presentations at the IX workshop on nonlinear differential equations, João Pessoa, Brazil, September 2012. Cham: Birkhäuser/Springer (ISBN 978-3-319-04213-8/hbk; 978-3-319-04214-5/ebook). Progress in Nonlinear Differential Equations and Their Applications 85, 423-443 (2014). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35P30 35J61 47J15 PDF BibTeX XML Cite \textit{C. A. Stuart}, Prog. Nonlinear Differ. Equ. Appl. 85, 423--443 (2014; Zbl 1333.35145) Full Text: DOI OpenURL
Grishechkin, Yu. A.; Kapshai, V. N. Coupled \(S\)-states OF relativistic two-particle systems WITH energy-dependent single boson exchange potentials. (English. Russian original) Zbl 1294.81256 Russ. Phys. J. 56, No. 12, 1407-1414 (2014); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 12, 79-85 (2013). MSC: 81T80 81U05 PDF BibTeX XML Cite \textit{Yu. A. Grishechkin} and \textit{V. N. Kapshai}, Russ. Phys. J. 56, No. 12, 1407--1414 (2014; Zbl 1294.81256); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 56, No. 12, 79--85 (2013) Full Text: DOI OpenURL
Liu, Jia-Quan; Wang, Zhi-Qiang Multiple solutions for quasilinear elliptic equations with a finite potential well. (English) Zbl 1298.35198 J. Differ. Equations 257, No. 8, 2874-2899 (2014). MSC: 35Q55 35J62 35A15 35D30 PDF BibTeX XML Cite \textit{J.-Q. Liu} and \textit{Z.-Q. Wang}, J. Differ. Equations 257, No. 8, 2874--2899 (2014; Zbl 1298.35198) Full Text: DOI OpenURL
Christianson, Hans; Marzuola, Jeremy; Metcalfe, Jason; Taylor, Michael Nonlinear bound states on weakly homogeneous spaces. (English) Zbl 1290.58012 Commun. Partial Differ. Equations 39, No. 1, 34-97 (2014). Reviewer: Dian K. Palagachev (Bari) MSC: 58J05 53C30 35Q55 PDF BibTeX XML Cite \textit{H. Christianson} et al., Commun. Partial Differ. Equations 39, No. 1, 34--97 (2014; Zbl 1290.58012) Full Text: DOI arXiv OpenURL
Sun, Wen-Rong; Tian, Bo; Zhong, Hui; Zhen, Hui-Ling Soliton interactions for the three-coupled discrete nonlinear Schrödinger equations in the alpha helical proteins. (English) Zbl 1287.35086 Stud. Appl. Math. 132, No. 1, 65-80 (2014). MSC: 35Q55 92D20 35Q92 35Q51 35C08 37K35 37K40 33C45 82D60 PDF BibTeX XML Cite \textit{W.-R. Sun} et al., Stud. Appl. Math. 132, No. 1, 65--80 (2014; Zbl 1287.35086) Full Text: DOI OpenURL
Li, Min; Xiao, Jing-Hua; Qin, Bo; Wang, Ming; Tian, Bo Vector-soliton bound states for the coupled mixed derivative nonlinear Schrödinger equations in optical fibers. (English) Zbl 1360.78042 Wave Motion 50, No. 1, 1-10 (2013). MSC: 78A60 35Q55 35C08 78M25 PDF BibTeX XML Cite \textit{M. Li} et al., Wave Motion 50, No. 1, 1--10 (2013; Zbl 1360.78042) Full Text: DOI Link OpenURL
Liu, Jiaquan; Wang, Zhi-Qiang; Wu, Xian Multibump solutions for quasilinear elliptic equations with critical growth. (English) Zbl 1288.81036 J. Math. Phys. 54, No. 12, 121501, 31 p. (2013). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 81Q05 35J60 35Q55 PDF BibTeX XML Cite \textit{J. Liu} et al., J. Math. Phys. 54, No. 12, 121501, 31 p. (2013; Zbl 1288.81036) Full Text: DOI Link OpenURL
Margetis, Dionisios Erratum: Bose-Einstein condensation beyond mean field: many-body bound state of periodic microstructure. (English) Zbl 1267.81299 Multiscale Model. Simul. 11, No. 1, 410-410 (2013). MSC: 81V45 81Q15 81V70 82C10 76M50 35Q55 45K05 PDF BibTeX XML Cite \textit{D. Margetis}, Multiscale Model. Simul. 11, No. 1, 410--410 (2013; Zbl 1267.81299) Full Text: DOI Link OpenURL
Fei, Mingwen; Yin, Huicheng Bound states of asymptotically linear Schrödinger equations with compactly supported potentials. (English) Zbl 1294.35135 Pac. J. Math. 261, No. 2, 335-367 (2013). MSC: 35Q55 35J10 35J60 35J91 PDF BibTeX XML Cite \textit{M. Fei} and \textit{H. Yin}, Pac. J. Math. 261, No. 2, 335--367 (2013; Zbl 1294.35135) Full Text: DOI Link OpenURL
Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi On phase-separation models: asymptotics and qualitative properties. (English) Zbl 1263.35095 Arch. Ration. Mech. Anal. 208, No. 1, 163-200 (2013). MSC: 35J48 35J20 49R05 49J40 PDF BibTeX XML Cite \textit{H. Berestycki} et al., Arch. Ration. Mech. Anal. 208, No. 1, 163--200 (2013; Zbl 1263.35095) Full Text: DOI OpenURL
Kapshai, V. N.; Hryshechkin, Y. A. The bound states problem for generalized nonlinear delta-potentials. (English) Zbl 1294.81258 Nonlinear Phenom. Complex Syst., Minsk 15, No. 2, 138-154 (2012). MSC: 81U05 81T70 81Q40 PDF BibTeX XML Cite \textit{V. N. Kapshai} and \textit{Y. A. Hryshechkin}, Nonlinear Phenom. Complex Syst., Minsk 15, No. 2, 138--154 (2012; Zbl 1294.81258) Full Text: Link OpenURL
Luo, Tingjian; Wang, Zhengping A nodal type bound state for a nonlinear Schrödinger equation with decaying potentials. (English) Zbl 1265.35062 J. Partial Differ. Equations 25, No. 1, 79-89 (2012). MSC: 35J20 35J60 35Q55 PDF BibTeX XML Cite \textit{T. Luo} and \textit{Z. Wang}, J. Partial Differ. Equations 25, No. 1, 79--89 (2012; Zbl 1265.35062) Full Text: DOI OpenURL
Cui, Da Cheng; Zhang, Ji Hui; Fei, Ming Wen Existence and concentration of bound states of a class of nonlinear Schrödinger equations in \(\mathbb{R}^2\) with potential tending to zero at infinity. (English) Zbl 1259.35188 Acta Math. Sin., Engl. Ser. 28, No. 11, 2243-2274 (2012). MSC: 35Q55 35J60 35B33 PDF BibTeX XML Cite \textit{D. C. Cui} et al., Acta Math. Sin., Engl. Ser. 28, No. 11, 2243--2274 (2012; Zbl 1259.35188) Full Text: DOI OpenURL
Alves, Maria J.; Assuncao, Ronaldo B.; Carriao, Paulo C.; Miyagaki, Olimpio H. Existence of bound state solutions for degenerate singular perturbation problems with sign-changing potentials. (English) Zbl 1259.35075 Electron. J. Differ. Equ. 2012, Paper No. 109, 23 p. (2012). MSC: 35J20 35J61 35J70 35J75 35P10 35P30 PDF BibTeX XML Cite \textit{M. J. Alves} et al., Electron. J. Differ. Equ. 2012, Paper No. 109, 23 p. (2012; Zbl 1259.35075) Full Text: EMIS OpenURL
Liu, Tengfei; Jiang, Zhong-Ping; Hill, David J. A sector bound approach to feedback control of nonlinear systems with state quantization. (English) Zbl 1244.93066 Automatica 48, No. 1, 145-152 (2012). MSC: 93B52 93C10 93D25 93C15 PDF BibTeX XML Cite \textit{T. Liu} et al., Automatica 48, No. 1, 145--152 (2012; Zbl 1244.93066) Full Text: DOI OpenURL
Stuart, C. A. Bifurcation and decay of solutions for a class of elliptic equations on \(\mathbb{R}^N\). (English) Zbl 1236.35010 Bonheure, Denis (ed.) et al., Nonlinear elliptic partial differential equations. Workshop in celebration of Jean-Pierre Gossez’s 65th birthday, Bruxelles, Belgium, September 2–4, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4907-1/pbk). Contemporary Mathematics 540, 203-230 (2011). Reviewer: Jesús Hernández (Madrid) MSC: 35B32 35P30 58E07 58E05 35J60 35J70 PDF BibTeX XML Cite \textit{C. A. Stuart}, Contemp. Math. 540, 203--230 (2011; Zbl 1236.35010) OpenURL
Chen, Z.; Zou, W. On coupled systems of Schrödinger equations. (English) Zbl 1232.35063 Adv. Differ. Equ. 16, No. 7-8, 775-800 (2011). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J61 35J91 35Q55 35A15 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{W. Zou}, Adv. Differ. Equ. 16, No. 7--8, 775--800 (2011; Zbl 1232.35063) OpenURL
Nemes, F. Semiclassical analysis of defect Sine – Gordon theory. (English) Zbl 1202.81146 Int. J. Mod. Phys. A 25, No. 23, 4493-4509 (2010). MSC: 81T10 81Q20 81R12 35Q55 81V22 PDF BibTeX XML Cite \textit{F. Nemes}, Int. J. Mod. Phys. A 25, No. 23, 4493--4509 (2010; Zbl 1202.81146) Full Text: DOI arXiv OpenURL
Ba, Na; Deng, Yinbin; Peng, Shuangjie Multi-peak bound states for Schrödinger equations with compactly supported or unbounded potentials. (English) Zbl 1200.35282 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1205-1226 (2010). MSC: 35Q55 35J20 35J10 35D30 PDF BibTeX XML Cite \textit{N. Ba} et al., Ann. Inst. Henri Poincaré, Anal. Non Linéaire 27, No. 5, 1205--1226 (2010; Zbl 1200.35282) Full Text: DOI OpenURL
Fei, Mingwen; Yin, Huicheng Existence and concentration of bound states of nonlinear Schrödinger equations with compactly supported and competing potentials. (English) Zbl 1189.35304 Pac. J. Math. 244, No. 2, 261-296 (2010). MSC: 35Q55 35J10 35J60 35B45 35B40 PDF BibTeX XML Cite \textit{M. Fei} and \textit{H. Yin}, Pac. J. Math. 244, No. 2, 261--296 (2010; Zbl 1189.35304) Full Text: DOI OpenURL
Chu, Jifeng Positive bound states of systems of nonlinear Schrödinger equations. (English) Zbl 1206.34050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3-4, 1983-1992 (2010). Reviewer: Sergei A. Brykalov (Ekaterinburg) MSC: 34B40 34B15 47N20 PDF BibTeX XML Cite \textit{J. Chu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 3--4, 1983--1992 (2010; Zbl 1206.34050) Full Text: DOI OpenURL
Jiang, Yongsheng; Zhou, Huansong Bound states for a stationary nonlinear Schrödinger-Poisson system with sign-changing potential in \(\mathbb R^3\). (English) Zbl 1212.35450 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 1095-1104 (2009). MSC: 35Q55 PDF BibTeX XML Cite \textit{Y. Jiang} and \textit{H. Zhou}, Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 4, 1095--1104 (2009; Zbl 1212.35450) Full Text: DOI arXiv OpenURL
Yin, Huicheng; Zhang, Pingzheng Bound states of nonlinear Schrödinger equations with potentials tending to zero at infinity. (English) Zbl 1178.35353 J. Differ. Equations 247, No. 2, 618-647 (2009). Reviewer: A. D. Osborne (Keele) MSC: 35Q55 35B33 35J60 PDF BibTeX XML Cite \textit{H. Yin} and \textit{P. Zhang}, J. Differ. Equations 247, No. 2, 618--647 (2009; Zbl 1178.35353) Full Text: DOI OpenURL
Gang, Zhou; Weinstein, Michael I. Dynamics of nonlinear Schrödinger/Gross-Pitaevskii equations: mass transfer in systems with solitons and degenerate neutral modes. (English) Zbl 1175.35136 Anal. PDE 1, No. 3, 267-322 (2008). Reviewer: Igor Andrianov (Köln) MSC: 35Q55 35B35 35B40 37K40 37K45 35C08 PDF BibTeX XML Cite \textit{Z. Gang} and \textit{M. I. Weinstein}, Anal. PDE 1, No. 3, 267--322 (2008; Zbl 1175.35136) Full Text: DOI arXiv Link OpenURL
Korkmaz, Alper; Dağ, Ịdris A differential quadrature algorithm for simulations of nonlinear Schrödinger equation. (English) Zbl 1165.65393 Comput. Math. Appl. 56, No. 9, 2222-2234 (2008). MSC: 65M70 35Q55 PDF BibTeX XML Cite \textit{A. Korkmaz} and \textit{Ị. Dağ}, Comput. Math. Appl. 56, No. 9, 2222--2234 (2008; Zbl 1165.65393) Full Text: DOI OpenURL
Cui, Jinling; Yu, Fengjun Solution of wave function and the eigenvalue of energy for the one-dimensional linear harmonic oscillator via the Fourier transformation. (Chinese. English summary) Zbl 1176.35167 J. Henan Univ., Nat. Sci. 38, No. 2, 135-138 (2008). MSC: 35Q55 35A22 35P05 81Q10 PDF BibTeX XML Cite \textit{J. Cui} and \textit{F. Yu}, J. Henan Univ., Nat. Sci. 38, No. 2, 135--138 (2008; Zbl 1176.35167) OpenURL
Kirr, E. W.; Kevrekidis, P. G.; Shlizerman, E.; Weinstein, M. I. Symmetry-breaking bifurcation in nonlinear Schrödinger/Gross-Pitaevskii equations. (English) Zbl 1157.35479 SIAM J. Math. Anal. 40, No. 2, 566-604 (2008). MSC: 35Q55 37K45 37K50 PDF BibTeX XML Cite \textit{E. W. Kirr} et al., SIAM J. Math. Anal. 40, No. 2, 566--604 (2008; Zbl 1157.35479) Full Text: DOI arXiv OpenURL
Liu, Chuangye; Wang, Zhengping; Zhou, Huan-Song Asymptotically linear Schrödinger equation with potential vanishing at infinity. (English) Zbl 1188.35181 J. Differ. Equations 245, No. 1, 201-222 (2008). MSC: 35Q55 35J20 35J60 81Q05 PDF BibTeX XML Cite \textit{C. Liu} et al., J. Differ. Equations 245, No. 1, 201--222 (2008; Zbl 1188.35181) Full Text: DOI OpenURL
Sakhnovich, A. L. Discrete canonical system and non-Abelian Toda lattice: Bäcklund-Darboux transformation, Weyl functions, and explicit solutions. (English) Zbl 1125.39020 Math. Nachr. 280, No. 5-6, 631-653 (2007). Reviewer: Martin Rasmussen (Augsburg) MSC: 39A12 39A70 35Q51 37K35 PDF BibTeX XML Cite \textit{A. L. Sakhnovich}, Math. Nachr. 280, No. 5--6, 631--653 (2007; Zbl 1125.39020) Full Text: DOI arXiv OpenURL
Bonheure, Denis; van Schaftingen, Jean Nonlinear Schrödinger equations with potentials vanishing at infinity. (English. Abridged French version) Zbl 1099.35127 C. R., Math., Acad. Sci. Paris 342, No. 12, 903-908 (2006). MSC: 35Q55 35J60 81Q05 35B25 35J20 47J30 PDF BibTeX XML Cite \textit{D. Bonheure} and \textit{J. van Schaftingen}, C. R., Math., Acad. Sci. Paris 342, No. 12, 903--908 (2006; Zbl 1099.35127) Full Text: DOI OpenURL
Lin, Chang-Shou; Lin, Tai-Chia Phase separation of bound state solutions of a system of nonlinear Schrödinger equations. (English) Zbl 1147.35357 Chen, Chiun-Chuan (ed.) et al., Recent advances in elliptic and parabolic problems. Proceedings of the international conference, Hsinchu, Taiwan, February 16–20, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-189-7/hbk). 179-188 (2005). MSC: 35Q55 35J55 35B35 82C10 PDF BibTeX XML Cite \textit{C.-S. Lin} and \textit{T.-C. Lin}, in: Recent advances in elliptic and parabolic problems. Proceedings of the international conference, Hsinchu, Taiwan, February 16--20, 2004. Hackensack, NJ: World Scientific. 179--188 (2005; Zbl 1147.35357) OpenURL
Liu, Zhaoli; van Heerden, Francois A.; Wang, Zhi-Qiang Nodal type bound states of Schrödinger equations via invariant set and minimax methods. (English) Zbl 1210.35044 J. Differ. Equations 214, No. 2, 358-390 (2005). MSC: 35J10 35Q55 PDF BibTeX XML Cite \textit{Z. Liu} et al., J. Differ. Equations 214, No. 2, 358--390 (2005; Zbl 1210.35044) Full Text: DOI OpenURL
Todorova, Grozdena Dynamics of nonlinear wave equations. (English) Zbl 1065.35004 Math. Methods Appl. Sci. 27, No. 15, 1831-1841 (2004). Reviewer: Hiroshi Uesaka (Tokyo) MSC: 35-02 35L70 35B35 PDF BibTeX XML Cite \textit{G. Todorova}, Math. Methods Appl. Sci. 27, No. 15, 1831--1841 (2004; Zbl 1065.35004) Full Text: DOI OpenURL
Maccari, Attilio Dromions bound states. (English) Zbl 1048.35097 Chaos Solitons Fractals 16, No. 2, 245-254 (2003). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35Q40 81Q05 35B20 PDF BibTeX XML Cite \textit{A. Maccari}, Chaos Solitons Fractals 16, No. 2, 245--254 (2003; Zbl 1048.35097) Full Text: DOI OpenURL
Esteban, Maria J.; Séré, Eric On some linear and nonlinear eigenvalue problems in relativistic quantum chemistry. (English) Zbl 1040.81100 Benci, V. (ed.) et al., Variational and topological methods in the study of nonlinear phenomena. Papers from the international conference, Pisa, Italy, January–February 2000. Basel: Birkhäuser (ISBN 0-8176-4278-1). Prog. Nonlinear Differ. Equ. Appl. 49, 15-27 (2002). Reviewer: Eugene Kryachko (Liège) MSC: 81V55 81V70 35Q55 49R50 81V45 81Q05 49S05 47A75 PDF BibTeX XML Cite \textit{M. J. Esteban} and \textit{E. Séré}, Prog. Nonlinear Differ. Equ. Appl. 49, 15--27 (2002; Zbl 1040.81100) OpenURL
Mainland, G. B. Logarithmic singularities in two-body, bound-state integral equations. (English) Zbl 0991.65104 J. Comput. Phys. 174, No. 2, 852-869 (2001). MSC: 65M70 35Q55 65R20 45E10 PDF BibTeX XML Cite \textit{G. B. Mainland}, J. Comput. Phys. 174, No. 2, 852--869 (2001; Zbl 0991.65104) Full Text: DOI OpenURL
Lyne, Owen D. Travelling waves for a certain first-order coupled PDE system. (English) Zbl 0954.35105 Electron. J. Probab. 5, Paper No. 14, 40 p. (2000). MSC: 35L60 60G44 60J27 35L45 PDF BibTeX XML Cite \textit{O. D. Lyne}, Electron. J. Probab. 5, Paper No. 14, 40 p. (2000; Zbl 0954.35105) Full Text: DOI EuDML EMIS OpenURL
Ito, Hiroshi; Krstić, Miroslav Recursive scaling design for robust global nonlinear stabilization via output feedback. (English) Zbl 0981.93066 Int. J. Robust Nonlinear Control 10, No. 10, 821-848 (2000). Reviewer: Ryszard Gessing (Gliwice) MSC: 93D21 93C10 PDF BibTeX XML Cite \textit{H. Ito} and \textit{M. Krstić}, Int. J. Robust Nonlinear Control 10, No. 10, 821--848 (2000; Zbl 0981.93066) Full Text: DOI OpenURL
Akinina, E. V.; Bednarzhevskij, S. S.; Golubyatnikov, V. P.; Smirnov, G. I. Mathematical modeling of nonlinear dynamics of strong radiation which appears in laser nephelometric analysis of dispersed biological media. (Russian) Zbl 0938.78015 Sib. Zh. Ind. Mat. 1, No. 2, 14-23 (1998). MSC: 78A70 92B05 78A60 65C20 PDF BibTeX XML Cite \textit{E. V. Akinina} et al., Sib. Zh. Ind. Mat. 1, No. 2, 14--23 (1998; Zbl 0938.78015) OpenURL
Magnus, Robert On multi-lump solutions to the non-linear Schrödinger equation. (English) Zbl 0907.35046 Electron. J. Differ. Equ. 1998, Paper No. 29, 24 p. (1998). MSC: 35J60 35Q55 PDF BibTeX XML Cite \textit{R. Magnus}, Electron. J. Differ. Equ. 1998, Paper No. 29, 24 p. (1998; Zbl 0907.35046) Full Text: EuDML EMIS OpenURL
Zolotaryuk, Y.; Eilbeck, J. C.; Savin, A. V. Bound states of lattice solitons and their bifurcations. (English) Zbl 0963.70557 Physica D 108, No. 1-2, 81-91 (1997). MSC: 70K99 35Q51 PDF BibTeX XML Cite \textit{Y. Zolotaryuk} et al., Physica D 108, No. 1--2, 81--91 (1997; Zbl 0963.70557) Full Text: DOI OpenURL
Novokshenov, V. Yu.; Shagalov, A. G. Bound states of the elliptic sine-Gordon equation. (English) Zbl 0939.35172 Physica D 106, No. 1-2, 81-94 (1997). MSC: 35Q53 35J60 82D55 76A15 PDF BibTeX XML Cite \textit{V. Yu. Novokshenov} and \textit{A. G. Shagalov}, Physica D 106, No. 1--2, 81--94 (1997; Zbl 0939.35172) Full Text: DOI OpenURL
Gao, David Yang Post-yield analysis for rigid-plastic plates with large deflections. (English) Zbl 0863.73028 Eur. J. Mech., A 15, No. 4, 599-615 (1996). MSC: 74K20 74R20 74S30 74P10 74C15 74C20 PDF BibTeX XML Cite \textit{D. Y. Gao}, Eur. J. Mech., A 15, No. 4, 599--615 (1996; Zbl 0863.73028) OpenURL
Lafourcade, Alec; Vardy, Alexander Lower bounds on trellis complexity of block codes. (English) Zbl 0858.94029 IEEE Trans. Inf. Theory 41, No. 6, Pt. 2, 1938-1954 (1995). Reviewer: R.Johannesson (Lund) MSC: 94B65 94B12 PDF BibTeX XML Cite \textit{A. Lafourcade} and \textit{A. Vardy}, IEEE Trans. Inf. Theory 41, No. 6, Part 2, 1938--1954 (1995; Zbl 0858.94029) Full Text: DOI Link OpenURL
Bowman, John C.; Shepherd, Theodore G. Nonlinear symmetric stability of planetary atmospheres. (English) Zbl 0849.76023 J. Fluid Mech. 296, 391-407 (1995). MSC: 76E20 76E30 86A10 PDF BibTeX XML Cite \textit{J. C. Bowman} and \textit{T. G. Shepherd}, J. Fluid Mech. 296, 391--407 (1995; Zbl 0849.76023) Full Text: DOI OpenURL
Crater, H. W. A Padé extrapolated inverse power method for coupled Schrödinger-like equations applied to the two-body relativistic bound state problem in quantum electrodynamics. (English) Zbl 0812.65116 J. Comput. Phys. 115, No. 2, 470-484 (1994). Reviewer: L.Vazquez (Madrid) MSC: 65Z05 65N25 35Q40 35Q55 35P15 81Q05 81V10 PDF BibTeX XML Cite \textit{H. W. Crater}, J. Comput. Phys. 115, No. 2, 470--484 (1994; Zbl 0812.65116) Full Text: DOI OpenURL
Chhajlany, S. C. Generalized Schwinger duality in bound state theory. (English) Zbl 0777.34058 J. Math. Phys. 34, No. 7, 2718-2722 (1993). MSC: 34L40 81Q05 PDF BibTeX XML Cite \textit{S. C. Chhajlany}, J. Math. Phys. 34, No. 7, 2718--2722 (1993; Zbl 0777.34058) Full Text: DOI OpenURL
Poliatzky, Nathan A method for solving the Schrödinger equation. (English) Zbl 0757.34068 J. Phys. A, Math. Gen. 25, No. 12, 3649-3666 (1992). MSC: 34L40 35Q55 81Q05 34A05 45D05 PDF BibTeX XML Cite \textit{N. Poliatzky}, J. Phys. A, Math. Gen. 25, No. 12, 3649--3666 (1992; Zbl 0757.34068) Full Text: DOI OpenURL
Burton, T. A.; Zhang, Bo Periodic solutions of abstract differential equations with infinite delay. (English) Zbl 0760.34060 J. Differ. Equations 90, No. 2, 357-396 (1991). Reviewer: A. J. B. Lopes-Pinto (Lisboa) MSC: 34K30 34C25 34K99 34G20 45N05 47G20 47J05 PDF BibTeX XML Cite \textit{T. A. Burton} and \textit{B. Zhang}, J. Differ. Equations 90, No. 2, 357--396 (1991; Zbl 0760.34060) Full Text: DOI OpenURL
Kosevich, Arnold M. Particle and wave properties of solitons. Resonant and non-resonant soliton scattering by impurities. (English) Zbl 0727.35124 Physica D 41, No. 2, 253-261 (1990). MSC: 35Q51 35Q55 PDF BibTeX XML Cite \textit{A. M. Kosevich}, Physica D 41, No. 2, 253--261 (1990; Zbl 0727.35124) Full Text: DOI OpenURL
Soffer, A.; Weinstein, M. I. Multichannel nonlinear scattering for nonintegrable equations. (English) Zbl 0721.35082 Commun. Math. Phys. 133, No. 1, 119-146 (1990). Reviewer: D.Robert (Nantes) MSC: 35Q55 35B40 35B35 35P25 PDF BibTeX XML Cite \textit{A. Soffer} and \textit{M. I. Weinstein}, Commun. Math. Phys. 133, No. 1, 119--146 (1990; Zbl 0721.35082) Full Text: DOI OpenURL
Hefter, Ernst F. Inverse methods and solitons as applied to nuclear physics. (English) Zbl 0850.35078 Sabatier, Pierre C. (ed.), Some topics on inverse problems. Proceedings of the 16th workshop on interdisciplinary study of inverse problems, Montpellier, France, Nov 30 - Dec 4, 1987. Singapore: World Scientific. 134-144 (1988). MSC: 35Q40 81Q05 81V35 35R30 35P25 PDF BibTeX XML Cite \textit{E. F. Hefter}, in: Some topics on inverse problems. Proceedings of the 16th workshop on interdisciplinary study of inverse problems, Montpellier, France, Nov 30 - Dec 4, 1987. Singapore: World Scientific. 134--144 (1988; Zbl 0850.35078) OpenURL
Maksimov, V. I. Positional simulation of unconstrained controls for nonlinear distributed systems with dissipation. (English. Russian original) Zbl 0667.93054 Autom. Remote Control 49, No. 4, 413-419 (1988); translation from Avtom. Telemekh. 1988, No. 4, 22-30 (1988). Reviewer: H.Zwart MSC: 93C10 93C25 PDF BibTeX XML Cite \textit{V. I. Maksimov}, Autom. Remote Control 49, No. 4, 413--419 (1988; Zbl 0667.93054); translation from Avtom. Telemekh. 1988, No. 4, 22--30 (1988) OpenURL
Trullinger, S. E.; Flesch, R. J. Parent potentials for an infinite class of reflectionless kinks. (English) Zbl 0641.35071 J. Math. Phys. 28, 1683-1690 (1987). MSC: 35Q99 35L70 PDF BibTeX XML Cite \textit{S. E. Trullinger} and \textit{R. J. Flesch}, J. Math. Phys. 28, 1683--1690 (1987; Zbl 0641.35071) Full Text: DOI OpenURL
Malomed, Boris A. “Leapfrogging” solitons in a system of coupled KdV equations. (English) Zbl 0639.35071 Wave Motion 9, 401-411 (1987). Reviewer: B.A.Malomed MSC: 35Q99 35B20 35G20 PDF BibTeX XML Cite \textit{B. A. Malomed}, Wave Motion 9, 401--411 (1987; Zbl 0639.35071) Full Text: DOI OpenURL
Galaktionov, V. A. Asymptotics of unbounded solutions of the nonlinear equation \(u_ t=(u^{\sigma}u_ x)_ x+u^{\beta}\) near a “singular” point. (English. Russian original) Zbl 0629.35061 Sov. Math., Dokl. 33, 840-844 (1986); translation from Dokl. Akad. Nauk SSSR 288, 1293-1297 (1986). Reviewer: Y.Ebihara MSC: 35K55 35B40 35K15 PDF BibTeX XML Cite \textit{V. A. Galaktionov}, Sov. Math., Dokl. 33, 840--844 (1986; Zbl 0629.35061); translation from Dokl. Akad. Nauk SSSR 288, 1293--1297 (1986) OpenURL
Nozaki, Kazuhiro Solitons as invariant tori in the perturbed nonlinear Schrödinger equation. (English) Zbl 0623.35013 Physica D 23, 369-373 (1986). MSC: 35B20 35G20 35Q99 35B35 PDF BibTeX XML Cite \textit{K. Nozaki}, Physica D 23, 369--373 (1986; Zbl 0623.35013) Full Text: DOI OpenURL
Sikorski, K. A.; Borkowski, A. On reliability analysis and optimization of plastic plane frames. (English) Zbl 0573.73099 Rozpr. Inż. 33, 311-322 (1985). MSC: 74P99 90C90 PDF BibTeX XML Cite \textit{K. A. Sikorski} and \textit{A. Borkowski}, Rozpr. Inż. 33, 311--322 (1985; Zbl 0573.73099) OpenURL
Efinger, H. J.; Grosse, H. On bound state solutions for certain nonlinear Schrödinger equations. (English) Zbl 0557.35030 Lett. Math. Phys. 8, 91-95 (1984). MSC: 35J10 35Q99 35P15 PDF BibTeX XML Cite \textit{H. J. Efinger} and \textit{H. Grosse}, Lett. Math. Phys. 8, 91--95 (1984; Zbl 0557.35030) Full Text: DOI OpenURL
Efinger, H. J.; Grosse, H. On bound state solutions for certain nonlinear Schrödinger equations. (English) Zbl 0535.35072 Arbeitsber., Ber. Math. Inst. Univ. Salzburg 1-2/83, 1-10 (1983). Reviewer: M.Biroli MSC: 35Q99 35P15 35J10 PDF BibTeX XML OpenURL
Struwe, Michael Multiple solutions of differential equations without the Palais-Smale condition. (English) Zbl 0506.35034 Math. Ann. 261, 399-412 (1982). MSC: 35J60 35A15 35A05 58E05 PDF BibTeX XML Cite \textit{M. Struwe}, Math. Ann. 261, 399--412 (1982; Zbl 0506.35034) Full Text: DOI EuDML OpenURL
Roseman, Joseph J. An integral bound on the strain energy for the traction problem in nonlinear elasticity with sufficiently small strains. (English) Zbl 0475.73016 Int. J. Non-Linear Mech. 16, 317-325 (1981). MSC: 74B20 74S30 PDF BibTeX XML Cite \textit{J. J. Roseman}, Int. J. Non-Linear Mech. 16, 317--325 (1981; Zbl 0475.73016) Full Text: DOI OpenURL
Chang, C. B. Two lower bounds on the covariance for nonlinear estimation problems. (English) Zbl 0472.93057 IEEE Trans. Autom. Control 26, 1294-1297 (1981). MSC: 93E10 93C10 93E25 93E11 62M20 PDF BibTeX XML Cite \textit{C. B. Chang}, IEEE Trans. Autom. Control 26, 1294--1297 (1981; Zbl 0472.93057) Full Text: DOI OpenURL
Miles, John W. An envelope soliton problem. (English) Zbl 0467.35075 SIAM J. Appl. Math. 41, 227-230 (1981). MSC: 35P25 35J10 35J60 35B40 PDF BibTeX XML Cite \textit{J. W. Miles}, SIAM J. Appl. Math. 41, 227--230 (1981; Zbl 0467.35075) Full Text: DOI OpenURL