Wang, Yanjie; Zhang, Beibei; Cao, Bo The exact solutions of generalized Davey-Stewartson equations with arbitrary power nonlinearities using the dynamical system and the first integral methods. (English) Zbl 1496.34003 Open Math. 20, 894-910 (2022). MSC: 34A05 34A30 34B05 PDF BibTeX XML Cite \textit{Y. Wang} et al., Open Math. 20, 894--910 (2022; Zbl 1496.34003) Full Text: DOI
Muslu, Gulcin M. Numerical study of blow-up to the purely elliptic generalized Davey-Stewartson system. (English) Zbl 1358.35175 J. Comput. Appl. Math. 317, 331-342 (2017). MSC: 35Q55 65M06 65M12 35B44 35B35 35A01 PDF BibTeX XML Cite \textit{G. M. Muslu}, J. Comput. Appl. Math. 317, 331--342 (2017; Zbl 1358.35175) Full Text: DOI
Fu, Ying; Qu, Changzheng A unique continuation property for the generalized Davey-Stewartson system in \(\mathbb{R}^n\). (English) Zbl 1299.35054 Adv. Math., Beijing 42, No. 1, 95-105 (2013). MSC: 35B60 35Q55 35G25 PDF BibTeX XML Cite \textit{Y. Fu} and \textit{C. Qu}, Adv. Math., Beijing 42, No. 1, 95--105 (2013; Zbl 1299.35054)
Eden, A.; Gürel, T. B. On the integrability of a generalized Davey-Stewartson system. (English) Zbl 1284.37051 Physica D 259, 1-7 (2013). MSC: 37K10 37K15 35Q55 PDF BibTeX XML Cite \textit{A. Eden} and \textit{T. B. Gürel}, Physica D 259, 1--7 (2013; Zbl 1284.37051) Full Text: DOI
Gan, Zaihui; Zhang, Jian A cross-constrained variational problem for the generalized Davey-Stewartson system. (English) Zbl 1170.35090 Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 67-77 (2009). MSC: 35Q55 35A15 35B35 PDF BibTeX XML Cite \textit{Z. Gan} and \textit{J. Zhang}, Proc. Edinb. Math. Soc., II. Ser. 52, No. 1, 67--77 (2009; Zbl 1170.35090) Full Text: DOI
Gan, Zaihui; Zhang, Jian Sharp conditions of global existence for the generalized Davey-Stewartson system in two space dimensions. (English) Zbl 1059.35135 Math. Appl. 17, No. 3, 360-365 (2004). MSC: 35Q55 35B40 35A15 PDF BibTeX XML Cite \textit{Z. Gan} and \textit{J. Zhang}, Math. Appl. 17, No. 3, 360--365 (2004; Zbl 1059.35135)
Liu, Shaoqing Existence of weak solutions to degenerate Davey-Stewartson equations. (Chinese. English summary) Zbl 0996.35075 Math. Appl. 14, Suppl., 200-203 (2001). MSC: 35Q55 35D05 PDF BibTeX XML Cite \textit{S. Liu}, Math. Appl. 14, 200--203 (2001; Zbl 0996.35075)
Ponce, Gustavo On nonlinear dispersive equations. (English) Zbl 0920.35138 Doc. Math., Extra Vol. ICM Berlin 1998, vol. III, 67-76 (1998). Reviewer: Dimitar Kolev (Sofia) MSC: 35Q53 35Q55 PDF BibTeX XML Cite \textit{G. Ponce}, Doc. Math. Extra Vol., 67--76 (1998; Zbl 0920.35138) Full Text: EuDML EMIS
Hayashi, Nakao Local existence in time of small solutions to the Davey-Stewartson systems. (English) Zbl 0869.35083 Ann. Inst. Henri Poincaré, Phys. Théor. 65, No. 4, 313-366 (1996). Reviewer: L.A.Sakhnovich (Odessa) MSC: 35Q53 35D05 76B15 PDF BibTeX XML Cite \textit{N. Hayashi}, Ann. Inst. Henri Poincaré, Phys. Théor. 65, No. 4, 313--366 (1996; Zbl 0869.35083) Full Text: Numdam EuDML
Hayashi, Nakao; Hirata, Hitoshi Global existence and asymptotic behaviour in time of small solutions to the elliptic-hyperbolic Davey-Stewartson system. (English) Zbl 0906.35096 Nonlinearity 9, No. 6, 1387-1409 (1996). MSC: 35Q55 35D05 35E15 76B15 PDF BibTeX XML Cite \textit{N. Hayashi} and \textit{H. Hirata}, Nonlinearity 9, No. 6, 1387--1409 (1996; Zbl 0906.35096) Full Text: DOI
Ohta, Masahito Stability and instability of standing waves for the generalized Davey- Stewartson system. (English) Zbl 0827.35122 Differ. Integral Equ. 8, No. 7, 1775-1788 (1995). MSC: 35Q55 35B35 35A15 PDF BibTeX XML Cite \textit{M. Ohta}, Differ. Integral Equ. 8, No. 7, 1775--1788 (1995; Zbl 0827.35122)