Chen, Jianqing; Gao, Yuetian; Han, Fangyu Stability of constrained solitary waves for the Ostrovsky-Vakhnenko model in the coastal zone. (English) Zbl 07814538 Physica D 459, Article ID 134028, 21 p. (2024). MSC: 35Q35 76B25 35B35 58E30 37K45 35P05 PDFBibTeX XMLCite \textit{J. Chen} et al., Physica D 459, Article ID 134028, 21 p. (2024; Zbl 07814538) Full Text: DOI
Wang, Fuzhang; Hou, Enran; Salama, Samir A.; Khater, Mostafa M. A. Numerical investigation of the nonlinear fractional Ostrovsky equation. (English) Zbl 1504.35388 Fractals 30, No. 5, Article ID 2240142, 9 p. (2022). MSC: 35Q35 76B15 76F10 76F65 76X05 78A60 82D10 35C08 35C07 65D07 65N99 26A33 35R11 35R10 PDFBibTeX XMLCite \textit{F. Wang} et al., Fractals 30, No. 5, Article ID 2240142, 9 p. (2022; Zbl 1504.35388) Full Text: DOI
Yan, Xiangqian; Yan, Wei The Cauchy problem for the generalized Ostrovsky equation with negative dispersion. (English) Zbl 1487.35190 J. Evol. Equ. 22, No. 2, Paper No. 40, 34 p. (2022). MSC: 35G25 35B45 35Q53 PDFBibTeX XMLCite \textit{X. Yan} and \textit{W. Yan}, J. Evol. Equ. 22, No. 2, Paper No. 40, 34 p. (2022; Zbl 1487.35190) Full Text: DOI arXiv
Esfahani, Amin; Levandosky, Steve Instability and blow-up of solutions of the fifth-order KP equation. (English) Zbl 1509.35213 J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022). MSC: 35Q35 35Q53 76B15 76B45 35C08 35B35 35B44 35A15 35A01 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, J. Math. Anal. Appl. 509, No. 2, Article ID 125953, 28 p. (2022; Zbl 1509.35213) Full Text: DOI
Esfahani, Amin; Levandosky, Steven Solitary waves of a generalized Ostrovsky equation. (English) Zbl 1502.35143 Nonlinear Anal., Real World Appl. 63, Article ID 103395, 33 p. (2022). MSC: 35Q53 35B35 35A01 35C07 35C08 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, Nonlinear Anal., Real World Appl. 63, Article ID 103395, 33 p. (2022; Zbl 1502.35143) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo On the solutions for an Ostrovsky type equation. (English) Zbl 1451.35061 Nonlinear Anal., Real World Appl. 55, Article ID 103141, 31 p. (2020). MSC: 35G25 35Q53 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, Nonlinear Anal., Real World Appl. 55, Article ID 103141, 31 p. (2020; Zbl 1451.35061) Full Text: DOI
Feng, Wen; Levandosky, Steven Stability of solitary waves of a nonlinear beam equation. (English) Zbl 1447.35044 J. Differ. Equations 269, No. 11, 10037-10072 (2020). MSC: 35B35 35C07 35L30 35L76 74K10 PDFBibTeX XMLCite \textit{W. Feng} and \textit{S. Levandosky}, J. Differ. Equations 269, No. 11, 10037--10072 (2020; Zbl 1447.35044) Full Text: DOI
Zhang, Qian; Xia, Yinhua Discontinuous Galerkin methods for the Ostrovsky-Vakhnenko equation. (English) Zbl 1448.35460 J. Sci. Comput. 82, No. 2, Paper No. 24, 26 p. (2020). MSC: 35Q53 65M60 35C08 PDFBibTeX XMLCite \textit{Q. Zhang} and \textit{Y. Xia}, J. Sci. Comput. 82, No. 2, Paper No. 24, 26 p. (2020; Zbl 1448.35460) Full Text: DOI arXiv
Sato, S.; Matsuo, T. On spatial discretization of evolutionary differential equations on the periodic domain with a mixed derivative. (English) Zbl 1419.65029 J. Comput. Appl. Math. 358, 221-240 (2019). MSC: 65M06 35M99 PDFBibTeX XMLCite \textit{S. Sato} and \textit{T. Matsuo}, J. Comput. Appl. Math. 358, 221--240 (2019; Zbl 1419.65029) Full Text: DOI arXiv
Liu, Xiaohua Orbital stability of standing waves for nonlinear fractional Schrödinger equation with unbounded potential. (English) Zbl 1415.35254 Asian-Eur. J. Math. 12, No. 3, Article ID 1950043, 11 p. (2019). MSC: 35Q55 35A15 35R11 PDFBibTeX XMLCite \textit{X. Liu}, Asian-Eur. J. Math. 12, No. 3, Article ID 1950043, 11 p. (2019; Zbl 1415.35254) Full Text: DOI
Darwich, Mohamad On the stability of the solitary waves to the rotation Benjamin-Ono equation. (English) Zbl 1407.35173 Math. Methods Appl. Sci. 42, No. 1, 219-228 (2019). MSC: 35Q53 35Q51 35B40 PDFBibTeX XMLCite \textit{M. Darwich}, Math. Methods Appl. Sci. 42, No. 1, 219--228 (2019; Zbl 1407.35173) Full Text: DOI arXiv
Durán, A. On a model for internal waves in rotating fluids. (English) Zbl 1524.76501 Appl. Math. Nonlinear Sci. 3, No. 2, 627-648 (2018). MSC: 76U05 35Q35 76B55 76T10 PDFBibTeX XMLCite \textit{A. Durán}, Appl. Math. Nonlinear Sci. 3, No. 2, 627--648 (2018; Zbl 1524.76501) Full Text: DOI arXiv
Esfahani, Amin; Levandosky, Steve Solitary waves of a coupled KdV system with a weak rotation. (English) Zbl 1394.76024 J. Differ. Equations 265, No. 10, 4835-4872 (2018). MSC: 76B15 86A05 76U05 76B25 35B35 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, J. Differ. Equations 265, No. 10, 4835--4872 (2018; Zbl 1394.76024) Full Text: DOI
Yan, Wei; Li, Yongsheng; Huang, Jianhua; Duan, Jinqiao The Cauchy problem for the Ostrovsky equation with positive dispersion. (English) Zbl 1394.35380 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 22, 37 p. (2018). MSC: 35Q35 35B30 76B15 76U05 PDFBibTeX XMLCite \textit{W. Yan} et al., NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 3, Paper No. 22, 37 p. (2018; Zbl 1394.35380) Full Text: DOI arXiv
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Well-posedness and dispersive/diffusive limit of a generalized Ostrovsky-Hunter equation. (English) Zbl 1394.35136 Milan J. Math. 86, No. 1, 31-51 (2018). MSC: 35G25 35L65 35L05 35D30 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, Milan J. Math. 86, No. 1, 31--51 (2018; Zbl 1394.35136) Full Text: DOI
Wang, JunFang; Yan, Wei The Cauchy problem for quadratic and cubic Ostrovsky equation with negative dispersion. (English) Zbl 1394.35137 Nonlinear Anal., Real World Appl. 43, 283-307 (2018). MSC: 35G25 35Q53 PDFBibTeX XMLCite \textit{J. Wang} and \textit{W. Yan}, Nonlinear Anal., Real World Appl. 43, 283--307 (2018; Zbl 1394.35137) Full Text: DOI
Wang, Junfang; Wang, Zongmin Sharp well-posedness of the Cauchy problem for a generalized Ostrovsky equation with positive dispersion. (English) Zbl 1380.35066 Bound. Value Probl. 2017, Paper No. 186, 12 p. (2017). MSC: 35G25 PDFBibTeX XMLCite \textit{J. Wang} and \textit{Z. Wang}, Bound. Value Probl. 2017, Paper No. 186, 12 p. (2017; Zbl 1380.35066) Full Text: DOI
Esfahani, Amin; Levandosky, Steve Stability of solitary waves of the Kadomtsev-Petviashvili equation with a weak rotation. (English) Zbl 1387.35042 SIAM J. Math. Anal. 49, No. 6, 5096-5133 (2017). MSC: 35B35 35B40 35C08 37K45 76B25 76U05 76E07 PDFBibTeX XMLCite \textit{A. Esfahani} and \textit{S. Levandosky}, SIAM J. Math. Anal. 49, No. 6, 5096--5133 (2017; Zbl 1387.35042) Full Text: DOI
Hakkaev, Sevdzhan; Stanislavova, Milena; Stefanov, Atanas Periodic traveling waves of the regularized short pulse and Ostrovsky equations: existence and stability. (English) Zbl 1361.35038 SIAM J. Math. Anal. 49, No. 1, 674-698 (2017). MSC: 35C07 35B35 35B40 35G30 35Q53 35B10 PDFBibTeX XMLCite \textit{S. Hakkaev} et al., SIAM J. Math. Anal. 49, No. 1, 674--698 (2017; Zbl 1361.35038) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Well-posedness of the Ostrovsky-Hunter equation under the combined effects of dissipation and short-wave dispersion. (English) Zbl 1356.35098 J. Evol. Equ. 16, No. 2, 365-389 (2016). MSC: 35G25 35B35 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Evol. Equ. 16, No. 2, 365--389 (2016; Zbl 1356.35098) Full Text: DOI arXiv
Zhang, Zaiyun; Huang, Jianhua Well-posedness and unique continuation property for the generalized Ostrovsky equation with low regularity. (English) Zbl 1348.35227 Math. Methods Appl. Sci. 39, No. 10, 2488-2513 (2016). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35Q53 76U05 76B15 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Huang}, Math. Methods Appl. Sci. 39, No. 10, 2488--2513 (2016; Zbl 1348.35227) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Dispersive and diffusive limits for Ostrovsky-Hunter type equations. (English) Zbl 1330.35082 NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1733-1763 (2015). MSC: 35G25 35L65 35Q53 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, NoDEA, Nonlinear Differ. Equ. Appl. 22, No. 6, 1733--1763 (2015; Zbl 1330.35082) Full Text: DOI
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Well-posedness of bounded solutions of the non-homogeneous initial-boundary value problem for the Ostrovsky-Hunter equation. (English) Zbl 1330.35084 J. Hyperbolic Differ. Equ. 12, No. 2, 221-248 (2015). MSC: 35G31 35L65 35Q53 35Q35 35A01 35A02 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Hyperbolic Differ. Equ. 12, No. 2, 221--248 (2015; Zbl 1330.35084) Full Text: DOI arXiv
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Oleinik type estimates for the Ostrovsky-Hunter equation. (English) Zbl 1315.35161 J. Math. Anal. Appl. 423, No. 1, 162-190 (2015). MSC: 35Q35 35Q53 76U05 76L05 35L67 35L65 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Math. Anal. Appl. 423, No. 1, 162--190 (2015; Zbl 1315.35161) Full Text: DOI arXiv
Coclite, Giuseppe Maria; di Ruvo, Lorenzo Convergence of the Ostrovsky equation to the Ostrovsky-Hunter one. (English) Zbl 1297.35203 J. Differ. Equations 256, No. 9, 3245-3277 (2014). Reviewer: Ahmed Lesfari (El Jadida) MSC: 35Q53 35G25 35L65 35L05 35B45 PDFBibTeX XMLCite \textit{G. M. Coclite} and \textit{L. di Ruvo}, J. Differ. Equations 256, No. 9, 3245--3277 (2014; Zbl 1297.35203) Full Text: DOI arXiv
Coclite, G. M.; Di Ruvo, L.; Karlsen, K. H. Some wellposedness results for the Ostrovsky-Hunter equation. (English) Zbl 1284.35131 Chen, Gui-Qiang G. (ed.) et al., Hyperbolic conservation laws and related analysis with applications. Selected papers based on the presentations at the workshop at the International Centre for Mathematical Sciences (ICMS) Edinburgh, UK, September 19–23, 2011. Berlin: Springer (ISBN 978-3-642-39006-7/hbk; 978-3-642-39007-4/ebook). Springer Proceedings in Mathematics & Statistics 49, 143-159 (2014). Reviewer: David Ambrose (Philadelphia) MSC: 35G20 35L65 PDFBibTeX XMLCite \textit{G. M. Coclite} et al., Springer Proc. Math. Stat. 49, 143--159 (2014; Zbl 1284.35131) Full Text: DOI
Dündar, Nurhan; Polat, Necat Blow-up phenomena and stability of solitary waves for a generalized Dullin-Gottwald-Holm equation. (English) Zbl 1295.35126 Bound. Value Probl. 2013, Paper No. 226, 15 p. (2013). MSC: 35B44 35G25 35B35 PDFBibTeX XMLCite \textit{N. Dündar} and \textit{N. Polat}, Bound. Value Probl. 2013, Paper No. 226, 15 p. (2013; Zbl 1295.35126) Full Text: DOI
Levandosky, Steven On the stability of solitary waves of a generalized Ostrovsky equation. (English) Zbl 1254.35204 Anal. Math. Phys. 2, No. 4, 407-437 (2012). MSC: 35Q53 35B35 35C08 65M12 PDFBibTeX XMLCite \textit{S. Levandosky}, Anal. Math. Phys. 2, No. 4, 407--437 (2012; Zbl 1254.35204) Full Text: DOI
Dehghan, Mehdi; Fakhar-Izadi, Farhad The spectral collocation method with three different bases for solving a nonlinear partial differential equation arising in modeling of nonlinear waves. (English) Zbl 1219.65106 Math. Comput. Modelling 53, No. 9-10, 1865-1877 (2011). MSC: 65M70 35Q53 76U05 76M25 PDFBibTeX XMLCite \textit{M. Dehghan} and \textit{F. Fakhar-Izadi}, Math. Comput. Modelling 53, No. 9--10, 1865--1877 (2011; Zbl 1219.65106) Full Text: DOI
Zhang, Pingzheng; Liu, Yue Symmetry and uniqueness of the solitary-wave solution for the Ostrovsky equation. (English) Zbl 1193.35173 Arch. Ration. Mech. Anal. 196, No. 3, 811-837 (2010). MSC: 35Q51 76B25 35B06 76B03 76E07 PDFBibTeX XMLCite \textit{P. Zhang} and \textit{Y. Liu}, Arch. Ration. Mech. Anal. 196, No. 3, 811--837 (2010; Zbl 1193.35173) Full Text: DOI
Tsugawa, Kotaro Well-posedness and weak rotation limit for the Ostrovsky equation. (English) Zbl 1181.35253 J. Differ. Equations 247, No. 12, 3163-3180 (2009). MSC: 35Q53 35B30 35A01 35A02 PDFBibTeX XMLCite \textit{K. Tsugawa}, J. Differ. Equations 247, No. 12, 3163--3180 (2009; Zbl 1181.35253) Full Text: DOI
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. (English) Zbl 1130.37031 Chaos Solitons Fractals 34, No. 2, 544-550 (2007). MSC: 37K05 35Q53 35Q51 83C35 PDFBibTeX XMLCite \textit{R. Choudhury} et al., Chaos Solitons Fractals 34, No. 2, 544--550 (2007; Zbl 1130.37031) Full Text: DOI arXiv