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
Wang, Jie; Zhang, Ruigang; Yang, Liangui A Gardner evolution equation for topographic Rossby waves and its mechanical analysis. (English) Zbl 1508.76025 Appl. Math. Comput. 385, Article ID 125426, 10 p. (2020). MSC: 76B25 PDFBibTeX XMLCite \textit{J. Wang} et al., Appl. Math. Comput. 385, Article ID 125426, 10 p. (2020; Zbl 1508.76025) 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
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; Yang, Hongli; Zhang, Ruigang; Su, Jinmei Nonlinear Schrödinger equation for envelope Rossby waves with complete Coriolis force and its solution. (English) Zbl 1449.35399 Comput. Appl. Math. 38, No. 2, Paper No. 51, 14 p. (2019). MSC: 35Q55 35C20 35C08 PDFBibTeX XMLCite \textit{X. Yin} et al., Comput. Appl. Math. 38, No. 2, Paper No. 51, 14 p. (2019; Zbl 1449.35399) 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)
Zhang, Ruigang; Yang, Liangui; Song, Jian; Yang, Hongli \((2+1)\) dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. (English) Zbl 1371.86021 Comput. Math. Appl. 73, No. 9, 1996-2003 (2017). MSC: 86A10 35Q86 35Q53 PDFBibTeX XMLCite \textit{R. Zhang} et al., Comput. Math. Appl. 73, No. 9, 1996--2003 (2017; Zbl 1371.86021) Full Text: DOI