Wang, Junjie; Dai, Hongbin; Hui, Yuanxian Conservative Fourier spectral scheme for higher order Klein-Gordon-Schrödinger equations. (English) Zbl 1442.65222 Appl. Numer. Math. 156, 446-466 (2020). MSC: 65M22 65N35 65M12 65M15 35Q55 PDF BibTeX XML Cite \textit{J. Wang} et al., Appl. Numer. Math. 156, 446--466 (2020; Zbl 1442.65222) Full Text: DOI
Bao, Weizhu; Su, Chunmei Uniform error estimates of a finite difference method for the Klein-Gordon-Schrödinger system in the nonrelativistic and massless limit regimes. (English) Zbl 1405.65093 Kinet. Relat. Models 11, No. 4, 1037-1062 (2018). MSC: 65M06 35Q55 65M12 65M15 PDF BibTeX XML Cite \textit{W. Bao} and \textit{C. Su}, Kinet. Relat. Models 11, No. 4, 1037--1062 (2018; Zbl 1405.65093) Full Text: DOI
Zhao, Caidi; Xue, Gang; Łukaszewicz, Grzegorz Pullback attractors and invariant measures for discrete Klein-Gordon-Schrödinger equations. (English) Zbl 1415.35059 Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 4021-4044 (2018). Reviewer: Joseph Shomberg (Providence) MSC: 35B41 76F20 39A12 34A33 81Q05 PDF BibTeX XML Cite \textit{C. Zhao} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 9, 4021--4044 (2018; Zbl 1415.35059) Full Text: DOI
Almeida, A. F.; Cavalcanti, M. M.; Zanchetta, J. P. Exponential decay for the coupled Klein-Gordon-Schrödinger equations with locally distributed damping. (English) Zbl 1395.35028 Commun. Pure Appl. Anal. 17, No. 5, 2039-2061 (2018). MSC: 35B40 35L70 35Q55 35G61 PDF BibTeX XML Cite \textit{A. F. Almeida} et al., Commun. Pure Appl. Anal. 17, No. 5, 2039--2061 (2018; Zbl 1395.35028) Full Text: DOI
Wang, Tingchun; Zhao, Xiaofei; Jiang, Jiaping Unconditional and optimal \(H^2\)-error estimates of two linear and conservative finite difference schemes for the Klein-Gordon-Schrödinger equation in high dimensions. (English) Zbl 1448.65122 Adv. Comput. Math. 44, No. 2, 477-503 (2018). MSC: 65M06 65M12 35Q53 35Q55 PDF BibTeX XML Cite \textit{T. Wang} et al., Adv. Comput. Math. 44, No. 2, 477--503 (2018; Zbl 1448.65122) Full Text: DOI
Baumstark, Simon; Kokkala, Georgia; Schratz, Katharina Asymptotic consistent exponential-type integrators for Klein-Gordon-Schrödinger systems from relativistic to non-relativistic regimes. (English) Zbl 1393.65024 ETNA, Electron. Trans. Numer. Anal. 48, 63-80 (2018). MSC: 65M12 35C20 35L05 35Q55 PDF BibTeX XML Cite \textit{S. Baumstark} et al., ETNA, Electron. Trans. Numer. Anal. 48, 63--80 (2018; Zbl 1393.65024) Full Text: DOI Link
Ammari, Zied; Falconi, Marco Bohr’s correspondence principle for the renormalized Nelson model. (English) Zbl 1394.35383 SIAM J. Math. Anal. 49, No. 6, 5031-5095 (2017). Reviewer: Thomas Ernst (Uppsala) MSC: 35Q40 81T16 81Q20 PDF BibTeX XML Cite \textit{Z. Ammari} and \textit{M. Falconi}, SIAM J. Math. Anal. 49, No. 6, 5031--5095 (2017; Zbl 1394.35383) Full Text: DOI
Shu, Ji Random attractors for stochastic discrete Klein-Gordon-Schrödinger equations driven by fractional Brownian motions. (English) Zbl 1362.37156 Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1587-1599 (2017). MSC: 37L55 60H15 82B44 PDF BibTeX XML Cite \textit{J. Shu}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 4, 1587--1599 (2017; Zbl 1362.37156) Full Text: DOI
Bao, Weizhu; Zhao, Xiaofei A uniformly accurate (UA) multiscale time integrator Fourier pseudospectral method for the Klein-Gordon-Schrödinger equations in the nonrelativistic limit regime, A UA method for Klein-Gordon-schrodinger equation. (English) Zbl 1361.65080 Numer. Math. 135, No. 3, 833-873 (2017). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K40 35Q55 65M12 65M15 PDF BibTeX XML Cite \textit{W. Bao} and \textit{X. Zhao}, Numer. Math. 135, No. 3, 833--873 (2017; Zbl 1361.65080) Full Text: DOI
Dehghan, Mehdi; Mohammadi, Vahid Two numerical meshless techniques based on radial basis functions (RBFs) and the method of generalized moving least squares (GMLS) for simulation of coupled Klein-Gordon-Schrödinger (KGS) equations. (English) Zbl 1443.65240 Comput. Math. Appl. 71, No. 4, 892-921 (2016). MSC: 65M70 35L71 35Q55 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{V. Mohammadi}, Comput. Math. Appl. 71, No. 4, 892--921 (2016; Zbl 1443.65240) Full Text: DOI
Zhang, Jingjing; Kong, Linghua New energy-preserving schemes for Klein-Gordon-Schrödinger equations. (English) Zbl 07162844 Appl. Math. Modelling 40, No. 15-16, 6969-6982 (2016). MSC: 65 76 PDF BibTeX XML Cite \textit{J. Zhang} and \textit{L. Kong}, Appl. Math. Modelling 40, No. 15--16, 6969--6982 (2016; Zbl 07162844) Full Text: DOI
Banquet, Carlos; Ferreira, Lucas C. F.; Villamizar-Roa, Elder J. On existence and scattering theory for the Klein-Gordon-Schrödinger system in an infinite \(L^{2}\)-norm setting. (English) Zbl 1333.35245 Ann. Mat. Pura Appl. (4) 194, No. 3, 781-804 (2015). Reviewer: Tomáš Dohnal (Karlsruhe) MSC: 35Q55 35A01 35A02 35B40 35P25 PDF BibTeX XML Cite \textit{C. Banquet} et al., Ann. Mat. Pura Appl. (4) 194, No. 3, 781--804 (2015; Zbl 1333.35245) Full Text: DOI
Missaoui, Salah; Zahrouni, Ezzeddine Regularity of the attractor for a coupled Klein-Gordon-Schrödinger system with cubic nonlinearities in \(\mathbb{R}^2\). (English) Zbl 1318.37027 Commun. Pure Appl. Anal. 14, No. 2, 695-716 (2015). Reviewer: Matheus Cheque Bortolan (Lima) MSC: 37L30 37L50 PDF BibTeX XML Cite \textit{S. Missaoui} and \textit{E. Zahrouni}, Commun. Pure Appl. Anal. 14, No. 2, 695--716 (2015; Zbl 1318.37027) Full Text: DOI
Li, Hengyan; Sun, Lei Upper semicontinuity of attractors for small perturbations of Klein-Gordon-Schrödinger lattice system. (English) Zbl 1407.37111 Adv. Difference Equ. 2014, Paper No. 300, 16 p. (2014). MSC: 37L60 37L30 37L55 35R60 PDF BibTeX XML Cite \textit{H. Li} and \textit{L. Sun}, Adv. Difference Equ. 2014, Paper No. 300, 16 p. (2014; Zbl 1407.37111) Full Text: DOI
Wang, Tingchun Optimal point-wise error estimate of a compact difference scheme for the Klein-Gordon-Schrödinger equation. (English) Zbl 1308.65147 J. Math. Anal. Appl. 412, No. 1, 155-167 (2014). MSC: 65M06 65M12 35Q55 PDF BibTeX XML Cite \textit{T. Wang}, J. Math. Anal. Appl. 412, No. 1, 155--167 (2014; Zbl 1308.65147) Full Text: DOI
Li, Chunqiu; Zhao, Min; Zhao, Caidi Pullback exponential attractors for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. (English) Zbl 07095376 Abstr. Appl. Anal. 2013, Article ID 809476, 9 p. (2013). MSC: 37 35 PDF BibTeX XML Cite \textit{C. Li} et al., Abstr. Appl. Anal. 2013, Article ID 809476, 9 p. (2013; Zbl 07095376) Full Text: DOI
Wang, Tingchun; Jiang, Yong Point-wise errors of two conservative difference schemes for the Klein-Gordon-Schrödinger equation. (English) Zbl 1263.35184 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4565-4575 (2012). MSC: 35Q40 81Q05 PDF BibTeX XML Cite \textit{T. Wang} and \textit{Y. Jiang}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4565--4575 (2012; Zbl 1263.35184) Full Text: DOI
Park, Jong Yeoul; Kim, Jung Ae Uniform decay for the coupled Klein-Gordon-Schrödinger equation with linear memory. (English) Zbl 1192.35025 Acta Appl. Math. 110, No. 1, 449-467 (2010). MSC: 35B40 35Q55 35L71 35R09 PDF BibTeX XML Cite \textit{J. Y. Park} and \textit{J. A. Kim}, Acta Appl. Math. 110, No. 1, 449--467 (2010; Zbl 1192.35025) Full Text: DOI
Park, Jong Yeoul; Kim, Jung Ae Maximal attractors for the Klein-Gordon-Schrödinger equation in unbounded domain. (English) Zbl 1201.35052 Acta Appl. Math. 108, No. 2, 197-213 (2009). Reviewer: Hongjun Gao (Nanjing) MSC: 35B41 35Q55 35B65 PDF BibTeX XML Cite \textit{J. Y. Park} and \textit{J. A. Kim}, Acta Appl. Math. 108, No. 2, 197--213 (2009; Zbl 1201.35052) Full Text: DOI
Bao, Weizhu; Yang, Li Efficient and accurate numerical methods for the Klein-Gordon-Schrödinger equations. (English) Zbl 1125.65093 J. Comput. Phys. 225, No. 2, 1863-1893 (2007). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M70 35Q55 65M12 PDF BibTeX XML Cite \textit{W. Bao} and \textit{L. Yang}, J. Comput. Phys. 225, No. 2, 1863--1893 (2007; Zbl 1125.65093) Full Text: DOI
Zhao, Caidi; Zhou, Shengfan Compact kernel sections for nonautonomous Klein-Gordon-Schrödinger equations on infinite lattices. (English) Zbl 1113.37057 J. Math. Anal. Appl. 332, No. 1, 32-56 (2007). MSC: 37L60 35Q55 37B40 PDF BibTeX XML Cite \textit{C. Zhao} and \textit{S. Zhou}, J. Math. Anal. Appl. 332, No. 1, 32--56 (2007; Zbl 1113.37057) Full Text: DOI
Yin, Fuqi; Zhou, Shengfan Upper semicontinuity and Kolmogorov \(\varepsilon\)-entropy of global attractor for \(k\)-dimensional lattice dynamical system corresponding to Klein-Gordon-Schrödinger equation. (English) Zbl 1101.37050 Acta Math. Appl. Sin., Engl. Ser. 22, No. 3, 469-486 (2006). MSC: 37L60 37L30 35Q55 37B40 34G20 PDF BibTeX XML Cite \textit{F. Yin} and \textit{S. Zhou}, Acta Math. Appl. Sin., Engl. Ser. 22, No. 3, 469--486 (2006; Zbl 1101.37050) Full Text: DOI
Zhang, Huiqun New exact travelling wave solutions for some nonlinear evolution equations. (English) Zbl 1093.35057 Chaos Solitons Fractals 26, No. 3, 921-925 (2005). MSC: 35Q53 35-04 PDF BibTeX XML Cite \textit{H. Zhang}, Chaos Solitons Fractals 26, No. 3, 921--925 (2005; Zbl 1093.35057) Full Text: DOI
Li, Yongsheng; Guo, Boling Asymptotic smoothing effect of solutions to weakly dissipative Klein-Gordon-Schrödinger equations. (English) Zbl 1146.35321 J. Math. Anal. Appl. 282, No. 1, 256-265 (2003). MSC: 35B41 35B65 35Q55 37L30 PDF BibTeX XML Cite \textit{Y. Li} and \textit{B. Guo}, J. Math. Anal. Appl. 282, No. 1, 256--265 (2003; Zbl 1146.35321) Full Text: DOI
Lu, Kening; Wang, Bixiang Global attractors for the Klein-Gordon-Schrödinger equation in unbounded domains. (English) Zbl 0979.35135 J. Differ. Equations 170, No. 2, 281-316 (2001). Reviewer: Bruno Scarpellini (Basel) MSC: 35Q55 35B41 37L30 PDF BibTeX XML Cite \textit{K. Lu} and \textit{B. Wang}, J. Differ. Equations 170, No. 2, 281--316 (2001; Zbl 0979.35135) Full Text: DOI
Ohta, Masahito Stability of stationary states for the coupled Klein-Gordon-Schrödinger equations. (English) Zbl 0867.35092 Nonlinear Anal., Theory Methods Appl. 27, No. 4, 455-461 (1996). Reviewer: A.Tsutsumi (Osaka) MSC: 35Q55 35B35 81Q05 PDF BibTeX XML Cite \textit{M. Ohta}, Nonlinear Anal., Theory Methods Appl. 27, No. 4, 455--461 (1996; Zbl 0867.35092) Full Text: DOI
Bachelot, Alain Problème de Cauchy pour des systèmes hyperboliques semi-linéaires. (French) Zbl 0566.35068 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 1, 453-478 (1984). Reviewer: H.Pecher MSC: 35L70 35D05 35A07 35G25 PDF BibTeX XML Cite \textit{A. Bachelot}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 1, 453--478 (1984; Zbl 0566.35068) Full Text: DOI Numdam EuDML