Liao, Feng; Geng, Fazhan; Yao, Lingxing Numerical solutions of Schrödinger-Boussinesq system by orthogonal spline collocation method. (English) Zbl 1541.65122 J. Comput. Appl. Math. 449, Article ID 115984, 17 p. (2024). MSC: 65M70 35Q55 65M06 65M12 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang; Chen, Juan Fully-decoupled conservative exponential approaches for the coupled nonlinear Schrödinger-Boussinesq equations. (English) Zbl 1534.65198 Discrete Contin. Dyn. Syst., Ser. B 29, No. 5, 2453-2470 (2024). MSC: 65M70 35Q55 65M06 65P10 65T50 × Cite Format Result Cite Review PDF Full Text: DOI
Ebrahimijahan, Ali; Dehghan, Mehdi; Abbaszadeh, Mostafa Simulation of the coupled Schrödinger-Boussinesq equations through integrated radial basis functions-partition of unity method. (English) Zbl 1543.65168 Eng. Anal. Bound. Elem. 153, 51-67 (2023). MSC: 65M70 65D12 × Cite Format Result Cite Review PDF Full Text: DOI
Cisneros-Ake, Luis A. Rational wave formation in the energy transfer problem. (English) Zbl 1540.81048 Phys. Lett., A 490, Article ID 129173, 5 p. (2023). MSC: 81Q05 35A15 11H60 16S85 65H10 × Cite Format Result Cite Review PDF Full Text: DOI
Shao, Jie; Guo, Boling On local well posedness of the Schrödinger-Boussinesq system. (English) Zbl 1513.35482 J. Partial Differ. Equations 35, No. 4, 360-380 (2022). MSC: 35Q55 35L70 35A01 76B15 × Cite Format Result Cite Review PDF Full Text: DOI
Ismael, Hajar F.; Bulut, Hasan; Baskonus, Haci Mehmet; Gao, Wei Dynamical behaviors to the coupled Schrödinger-Boussinesq system with the beta derivative. (English) Zbl 1484.35327 AIMS Math. 6, No. 7, 7909-7928 (2021). MSC: 35Q41 35Q60 26A24 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Feng; Zhang, Luming Error estimates of exponential wave integrator sine pseudospectral method for Schrödinger-Boussinesq system. (English) Zbl 1480.65284 Int. J. Comput. Math. 98, No. 4, 807-828 (2021). MSC: 65M70 65M15 65T40 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang; Chen, Juan; Yang, Bin Efficient energy-preserving wavelet collocation schemes for the coupled nonlinear Schrödinger-Boussinesq system. (English) Zbl 1429.65237 Appl. Math. Comput. 357, 1-11 (2019). MSC: 65M70 65T60 82D10 65P10 × Cite Format Result Cite Review PDF Full Text: DOI
Cai, Jiaxiang; Yang, Bin; Zhang, Chun Efficient mass- and energy-preserving schemes for the coupled nonlinear Schrödinger-Boussinesq system. (English) Zbl 1435.65171 Appl. Math. Lett. 91, 76-82 (2019). Reviewer: Song Jiang (Beijing) MSC: 65M70 65M06 65T50 65P10 35Q41 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Liao, Feng; Zhang, Luming; Wang, Shanshan Time-splitting combined with exponential wave integrator Fourier pseudospectral method for Schrödinger-Boussinesq system. (English) Zbl 1510.65261 Commun. Nonlinear Sci. Numer. Simul. 55, 93-104 (2018). MSC: 65M70 × Cite Format Result Cite Review PDF Full Text: DOI
Karamali, Gholamreza; Abbaszadeh, Mostafa; Dehghan, Mehdi The smoothed particle hydrodynamics method for solving generalized variable coefficient Schrödinger equation and Schrödinger-Boussinesq system. (English) Zbl 1424.65201 Comput. Methods Differ. Equ. 6, No. 2, 215-237 (2018). MSC: 65M75 35Q55 × Cite Format Result Cite Review PDF Full Text: Link
Han, Lijia; Zhang, Jingjun; Guo, Boling Global well-posedness for the fractional Schrödinger-Boussinesq system. (English) Zbl 1510.35302 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2644-2652 (2014). MSC: 35Q55 35B30 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Kılıcman, Adem; Abazari, Reza Travelling wave solutions of the Schrödinger-Boussinesq system. (English) Zbl 1253.65162 Abstr. Appl. Anal. 2012, Article ID 198398, 11 p. (2012). MSC: 65M99 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Farah, Luiz Gustavo; Pastor, Ademir On the periodic Schrödinger-Boussinesq system. (English) Zbl 1190.35208 J. Math. Anal. Appl. 368, No. 1, 330-349 (2010). MSC: 35Q55 35C07 35B10 35B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Farah, Luiz G. Local and global solutions for the non-linear Schrödinger-Boussinesq system. (English) Zbl 1224.35027 Differ. Integral Equ. 21, No. 7-8, 743-770 (2008). MSC: 35B30 35Q55 35Q53 × Cite Format Result Cite Review PDF
Guo, Boling; Du, Xianyun The behavior of attractors for damped Schrödinger-Boussinesq equation. (English) Zbl 0976.35081 Commun. Nonlinear Sci. Numer. Simul. 6, No. 1, 54-60 (2001). MSC: 35Q55 37L30 × Cite Format Result Cite Review PDF Full Text: DOI
Chowdhury, A. Roy; Dasgupta, B.; Rao, N. N. Painléve analysis and Bäcklund transformations for coupled generalized Schrödinger-Boussinesq system. (English) Zbl 0934.35168 Chaos Solitons Fractals 9, No. 10, 1747-1753 (1998). MSC: 35Q55 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Guo, Boling; Chen, Guangnan The convergence of Galerkin-Fourier method for a system of equations of Schrödinger-Boussinesq field. (English) Zbl 0659.65134 Differential geometry and differential equations, Proc. Symp., Beijing/China 1984, 186-193 (1985). MSC: 65Z05 65N30 81Q05 35Q99 × Cite Format Result Cite Review PDF
Guo, Boling; Chen, Guangnan Convergence of the Galerkin-Fourier method for a system of Schrödinger- Boussinesq field equations. (English) Zbl 0565.65077 J. Comput. Math. 2, 344-355 (1984). Reviewer: W.Ames MSC: 65Z05 65N30 35Q99 81Q05 65N15 × Cite Format Result Cite Review PDF