Wang, Cong; Zhang, Zongguo; Li, Bo; Yang, Hongwei Rossby waves and dipole blocking of barotropic-baroclinic coherent structures in unequal depth two-layer fluids. (English) Zbl 1524.76508 Phys. Lett., A 457, Article ID 128580, 14 p. (2023). MSC: 76U65 PDFBibTeX XMLCite \textit{C. Wang} et al., Phys. Lett., A 457, Article ID 128580, 14 p. (2023; Zbl 1524.76508) Full Text: DOI
Wang, Cong; Li, Jingjing; Yang, Hongwei Modulation instability analysis of Rossby waves based on \((2 + 1)\)-dimensional high-order Schrödinger equation. (English) Zbl 1511.35331 Commun. Theor. Phys. 74, No. 7, Article ID 075002, 12 p. (2022). MSC: 35Q55 76E30 76B15 PDFBibTeX XMLCite \textit{C. Wang} et al., Commun. Theor. Phys. 74, No. 7, Article ID 075002, 12 p. (2022; Zbl 1511.35331) Full Text: DOI
Yu, Di; Zongguo, Zhang; Yang, Hongwei A new nonlinear integral-differential equation describing Rossby waves and its related properties. (English) Zbl 1502.76127 Phys. Lett., A 443, Article ID 128205, 7 p. (2022). MSC: 76U65 76B25 76M45 86A05 PDFBibTeX XMLCite \textit{D. Yu} et al., Phys. Lett., A 443, Article ID 128205, 7 p. (2022; Zbl 1502.76127) Full Text: DOI
Yu, Zheyuan; Zhang, Zongguo; Yang, Hongwei \((2+1)\)-dimensional coupled Boussinesq equations for Rossby waves in two-layer cylindrical fluid. (English) Zbl 1514.35400 Commun. Theor. Phys. 73, No. 11, Article ID 115005, 12 p. (2021). MSC: 35Q53 35Q51 35B06 76M60 PDFBibTeX XMLCite \textit{Z. Yu} et al., Commun. Theor. Phys. 73, No. 11, Article ID 115005, 12 p. (2021; Zbl 1514.35400) Full Text: DOI
Fu, Lei; Zhang, Heng; He, Hailun; Dong, Huanhe; Yang, Hongwei Effect of nonlinearity on interaction between the vortices in the f-plane shallow water system. (English) Zbl 1476.35281 Z. Angew. Math. Phys. 72, No. 4, Paper No. 144, 18 p. (2021). MSC: 35Q86 35Q35 35Q51 35B40 35C08 76B47 76U60 76U65 86A05 35R35 65H10 65M70 65N30 PDFBibTeX XMLCite \textit{L. Fu} et al., Z. Angew. Math. Phys. 72, No. 4, Paper No. 144, 18 p. (2021; Zbl 1476.35281) Full Text: DOI
Ren, Yanwei; Tao, Mengshuang; Dong, Huanhe; Yang, Hongwei Analytical research of (\(3+1\))-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach. (English) Zbl 1458.35353 Adv. Difference Equ. 2019, Paper No. 13, 9 p. (2019). MSC: 35Q35 35C07 35B06 PDFBibTeX XMLCite \textit{Y. Ren} et al., Adv. Difference Equ. 2019, Paper No. 13, 9 p. (2019; Zbl 1458.35353) Full Text: DOI
Lu, Changna; Fu, Chen; Yang, Hongwei Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. (English) Zbl 1426.76721 Appl. Math. Comput. 327, 104-116 (2018). MSC: 76U65 35Q53 35C08 35Q35 35Q86 35R11 86A05 86A10 PDFBibTeX XMLCite \textit{C. Lu} et al., Appl. Math. Comput. 327, 104--116 (2018; Zbl 1426.76721) Full Text: DOI
Zhao, Bao Jun; Wang, Ru Yun; Sun, Wen Jin; Yang, Hong Wei Combined ZK-mzk equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions. (English) Zbl 1445.35280 Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018). MSC: 35Q51 35C08 37K40 37K45 PDFBibTeX XMLCite \textit{B. J. Zhao} et al., Adv. Difference Equ. 2018, Paper No. 42, 16 p. (2018; Zbl 1445.35280) Full Text: DOI
Yang, Hong Wei; Chen, Xin; Guo, Min; Chen, Yao Deng A new ZK-BO equation for three-dimensional algebraic Rossby solitary waves and its solution as well as fission property. (English) Zbl 1390.76044 Nonlinear Dyn. 91, No. 3, 2019-2032 (2018). MSC: 76B25 35C08 37K10 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 91, No. 3, 2019--2032 (2018; Zbl 1390.76044) Full Text: DOI
Chen, Xin; Yang, Hongwei; Guo, Min; Yin, Baoshu (2 + 1)-dimensional coupled model for envelope Rossby solitary waves and its solutions as well as chirp effect. (English) Zbl 1426.35200 Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017). MSC: 35Q53 37K10 35Q51 76U65 PDFBibTeX XMLCite \textit{X. Chen} et al., Math. Probl. Eng. 2017, Article ID 1378740, 12 p. (2017; Zbl 1426.35200) Full Text: DOI
Yang, Hong Wei; Xu, Zhen Hua; Yang, De Zhou; Feng, Xing Ru; Yin, Bao Shu; Dong, Huan He ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. (English) Zbl 1419.35180 Adv. Difference Equ. 2016, Paper No. 167, 22 p. (2016). MSC: 35Q53 35Q51 35C08 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Adv. Difference Equ. 2016, Paper No. 167, 22 p. (2016; Zbl 1419.35180) Full Text: DOI
Shi, Yun-Long; Yang, Hong-Wei; Yin, Bao-Shu; Yang, De-Zhou; Xu, Zhen-Hua; Feng, Xing-Ru Dissipative nonlinear Schrödinger equation with external forcing in rotational stratified fluids and its solution. (English) Zbl 1325.35206 Commun. Theor. Phys. 64, No. 4, 464-472 (2015). MSC: 35Q55 35C05 35C08 76U05 PDFBibTeX XMLCite \textit{Y.-L. Shi} et al., Commun. Theor. Phys. 64, No. 4, 464--472 (2015; Zbl 1325.35206) Full Text: DOI
Yang, Hongwei; Jin, Shanshan; Yin, Baoshu Benjamin-Ono-Burgers-MKdV equation for algebraic Rossby solitary waves in stratified fluids and conservation laws. (English) Zbl 1470.76024 Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014). MSC: 76B25 35Q53 76U65 37K10 PDFBibTeX XMLCite \textit{H. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 175841, 5 p. (2014; Zbl 1470.76024) Full Text: DOI
Yang, Hong Wei; Wang, Xiang Rong; Yin, Bao Shu A kind of new algebraic Rossby solitary waves generated by periodic external source. (English) Zbl 1314.76019 Nonlinear Dyn. 76, No. 3, 1725-1735 (2014). MSC: 76B25 35Q53 35B20 PDFBibTeX XMLCite \textit{H. W. Yang} et al., Nonlinear Dyn. 76, No. 3, 1725--1735 (2014; Zbl 1314.76019) Full Text: DOI
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Shi, Yun-Long Algebraic Rossby solitary waves excited by non-stationary external source. (English) Zbl 1264.76030 Commun. Theor. Phys. 58, No. 3, 425-431 (2012). MSC: 76B65 76B47 76E20 76M22 35Q53 35C08 35L65 65M70 PDFBibTeX XMLCite \textit{H.-W. Yang} et al., Commun. Theor. Phys. 58, No. 3, 425--431 (2012; Zbl 1264.76030) Full Text: DOI
Yang, Hong-Wei; Yin, Bao-Shu; Dong, Huan-He; Ma, Zhen-Dong Generation of solitary Rossby waves by unstable topography. (English) Zbl 1247.76022 Commun. Theor. Phys. 57, No. 3, 473-476 (2012). MSC: 76B25 76B65 76E20 76M22 86A05 86A10 35Q53 PDFBibTeX XMLCite \textit{H.-W. Yang} et al., Commun. Theor. Phys. 57, No. 3, 473--476 (2012; Zbl 1247.76022) Full Text: DOI