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, Liguo; Gao, Feifei; Li, Linlin; Yang, Liangui fmKdV equation for solitary Rossby waves and its analytical solution. (English) Zbl 1488.35475 Math. Appl. 34, No. 3, 566-573 (2021). MSC: 35Q53 76U65 PDFBibTeX XMLCite \textit{L. Chen} et al., Math. Appl. 34, No. 3, 566--573 (2021; Zbl 1488.35475)
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
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; 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
Wang, Danni; Yang, Hongli; Yang, Liangui Derivation of a higher order nonlinear Schrödinger equation with complete Coriolis force. (Chinese. English summary) Zbl 1438.35400 Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 5, 883-892 (2018). MSC: 35Q55 76B47 PDFBibTeX XMLCite \textit{D. Wang} et al., Acta Math. Sci., Ser. A, Chin. Ed. 38, No. 5, 883--892 (2018; Zbl 1438.35400)
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)
Zhao, Bo; Yang, Liangui; Song, Jian Rossby waves under the influence of the vertical shear of basic flow beta effect forcing dissipation and topographic effect in the rotational stratified fluid. (Chinese. English summary) Zbl 1389.76011 Math. Appl. 30, No. 2, 424-433 (2017). MSC: 76B65 76E30 PDFBibTeX XMLCite \textit{B. Zhao} et al., Math. Appl. 30, No. 2, 424--433 (2017; Zbl 1389.76011)
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
Yang, LianGui; Da, ChaoJiu; Song, Jian; Zhang, HuiQin; Yang, HongLi KdV equation for the amplitude of solitary Rossby waves in barotropic fluids. (English) Zbl 1353.76009 Pac. J. Appl. Math. 1, No. 3, 317-328 (2009). MSC: 76B25 35Q53 PDFBibTeX XMLCite \textit{L. Yang} et al., Pac. J. Appl. Math. 1, No. 3, 317--328 (2009; Zbl 1353.76009)