Zhang, Zhihui; Chen, Liguo; Zhang, Ruigang; Yang, Liangui; Liu, Quansheng Dynamics of Rossby solitary waves with time-dependent mean flow via Euler eigenvalue model. (English) Zbl 1506.76203 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1615-1630 (2022). MSC: 76U65 76B25 PDFBibTeX XMLCite \textit{Z. Zhang} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 10, 1615--1630 (2022; Zbl 1506.76203) Full Text: DOI
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui Semi-analytical and numerical study on equatorial Rossby solitary waves under non-traditional approximation. (English) Zbl 1513.76159 Zeidan, Dia (ed.) et al., Numerical fluid dynamics. Methods and computations. Singapore: Springer. Forum Interdiscip. Math., 69-92 (2022). MSC: 76U65 76M99 PDFBibTeX XMLCite \textit{R. Zhang} et al., in: Numerical fluid dynamics. Methods and computations. Singapore: Springer. 69--92 (2022; Zbl 1513.76159) Full Text: DOI
Chen, Li-Guo; Yang, Lian-Gui; Zhang, Rui-Gang; Liu, Quan-Sheng; Cui, Ji-Feng A \((2+1)\)-dimensional nonlinear model for Rossby waves in stratified fluids and its solitary solution. (English) Zbl 1451.76143 Commun. Theor. Phys. 72, No. 4, Article ID 045004, 8 p. (2020). MSC: 76U65 35C08 35Q51 35Q53 PDFBibTeX XMLCite \textit{L.-G. Chen} et al., Commun. Theor. Phys. 72, No. 4, Article ID 045004, 8 p. (2020; Zbl 1451.76143) Full Text: DOI
Liu, Quansheng; Zhang, Ruigang; Yang, Liangui; Song, Jian A new model equation for nonlinear Rossby waves and some of its solutions. (English) Zbl 1486.76107 Phys. Lett., A 383, No. 6, 514-525 (2019). MSC: 76U65 76B15 76M45 PDFBibTeX XMLCite \textit{Q. Liu} et al., Phys. Lett., A 383, No. 6, 514--525 (2019; Zbl 1486.76107) Full Text: DOI
Zhang, Ruigang; Liu, Quansheng; Yang, Liangui; Song, Jian Nonlinear planetary-synoptic wave interaction under generalized beta effect and its solutions. (English) Zbl 1448.86010 Chaos Solitons Fractals 122, 270-280 (2019). MSC: 86A10 35Q86 35Q55 35C08 35C10 PDFBibTeX XMLCite \textit{R. Zhang} et al., Chaos Solitons Fractals 122, 270--280 (2019; Zbl 1448.86010) Full Text: DOI
Yin, Xiaojun; Yang, Liangui; Liu, Quansheng; Wu, Guorong \((2+1)\)-dimensional ZK-Burgers equation with the generalized beta effect and its exact solitary solution. (English) Zbl 1442.76135 Comput. Math. Appl. 77, No. 1, 302-310 (2019). MSC: 76U65 35C08 35Q53 35Q86 86A05 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Math. Appl. 77, No. 1, 302--310 (2019; Zbl 1442.76135) Full Text: DOI
Zhang, Ruigang; Yang, Liangui; Liu, Quansheng; Yin, Xiaojun Dynamics of nonlinear Rossby waves in zonally varying flow with spatial-temporal varying topography. (English) Zbl 1428.76224 Appl. Math. Comput. 346, 666-679 (2019). MSC: 76U65 35C08 76M99 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Appl. Math. Comput. 346, 666--679 (2019; Zbl 1428.76224) Full Text: DOI
Yin, Xiaojun; Yang, Liangui; Liu, Quansheng; Zhang, Ruiguang The nonlinear \( (2 + 1)\)-dimensional Zakharov-Kuznetsov equation and its solitary solution. (Chinese. English summary) Zbl 1424.35295 J. Yunnan Univ., Nat. Sci. 40, No. 4, 619-624 (2018). MSC: 35Q51 35C07 35C08 PDFBibTeX XMLCite \textit{X. Yin} et al., J. Yunnan Univ., Nat. Sci. 40, No. 4, 619--624 (2018; Zbl 1424.35295)
Yin, Xiao-Jun; Yang, Lian-Gui; Liu, Quan-Sheng; Su, Jin-Mei; Wu, Guo-rong Structure of equatorial envelope Rossby solitary waves with complete Coriolis force and the external source. (English) Zbl 1392.86035 Chaos Solitons Fractals 111, 68-74 (2018). MSC: 86A10 35Q55 35Q86 35C05 PDFBibTeX XMLCite \textit{X.-J. Yin} et al., Chaos Solitons Fractals 111, 68--74 (2018; Zbl 1392.86035) Full Text: DOI
Song, Jian; Liu, Quansheng; Cen, Ruiting; Yang, Liangui Rossby waves with the change of \(\beta \) and the influence of topography in a two-layer fluid. (English) Zbl 1399.76017 J. Math., Wuhan Univ. 37, No. 4, 751-760 (2017). MSC: 76B65 86A10 PDFBibTeX XMLCite \textit{J. Song} et al., J. Math., Wuhan Univ. 37, No. 4, 751--760 (2017; Zbl 1399.76017) Full Text: DOI
Yin, Xiaojun; Yang, Liangui; Zhang, Ruigang; Liu, Quansheng; Yang, Hongli The nonlinear Rossby wave with a complete Coriolis force. (Chinese. English summary) Zbl 1389.76010 Math. Appl. 30, No. 3, 607-612 (2017). MSC: 76B65 86A10 35C08 35Q53 PDFBibTeX XMLCite \textit{X. Yin} et al., Math. Appl. 30, No. 3, 607--612 (2017; Zbl 1389.76010)