Analytical research of ( 3 + 1 $3+1$ )-dimensional Rossby waves with dissipation effect in cylindrical coordinate based on Lie symmetry approach

Author:

Ren Yanwei,Tao Mengshuang,Dong Huanhe,Yang Hongwei

Funder

Natural Science Foundation of Shandong Province

Postdoctoral Foundation of Hei Long Jiang Province

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Reference27 articles.

1. Zhao, B.J., Wang, R.Y., Sun, W.J., Yang, H.W.: Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions. Adv. Differ. Equ. 2018, 42 (2018)

2. Zhang, R.G., Yang, L.G., Song, J., Yang, H.L.: ( 2 + 1 $2+1$ )-dimensional Rossby waves with complete Coriolis force and its solution by homotopy perturbation method. Comput. Math. Appl. 73, 1996–2003 (2017)

3. Lu, C.N., Fu, C., Yang, H.W.: Time-fractional generalized Boussinesq equation for Rossby solitary waves with dissipation effect in stratified fluid and conservation laws as well as exact solutions. Appl. Math. Comput. 327, 104–116 (2018)

4. Yang, H.W., Xu, Z.H., Yang, D.Z., Feng, X.R., Yin, B.S., Dong, H.H.: ZK-Burgers equation for three-dimensional Rossby solitary waves and its solutions as well as chirp effect. Adv. Differ. Equ. 2016, 167 (2016)

5. Guo, M., Zhang, Y., Wang, M., Chen, Y.D., Yang, H.W.: A new ZK-ILW equation for algebraic gravity solitary waves in finite depth stratified atmosphere and the research of squall lines formation mechanism. Comput. Math. Appl. 75, 5468–5478 (2018)

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