Journal ArticleDOI
Exploring Solutions of Nonlinear Rossby Waves in Shallow Water Equations
B Bagchi,C Venkatesan +1 more
TLDR
In this article, the authors derived analytical conditions for the existence of finite amplitude nonlinear wave solutions in shallow water equations, including solitary wave, periodic trigonometrical and decaying exponential types.Abstract:
We study shallow water equations to derive analytical conditions for the existence of finite amplitude nonlinear wave solutions. The bounded solutions obtained by us include solitary wave, periodic trigonometrical and decaying exponential types.read more
Citations
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Journal ArticleDOI
Blow-up of solutions of strongly nonlinear equations of pseudoparabolic type
TL;DR: In this paper, strong generalized solvability, uniqueness, and blow-up of solutions of Cauchy problems are discussed. But they do not consider the problem of finding a global solution of the problem.
Journal ArticleDOI
Exploring Solutions of Nonlinear Rossby Waves with Complete Coriolis Force
Zhao Qiang,Yu Xin +1 more
TL;DR: In this article, nonlinear Rossby waves in a Boussinesq fluid model were studied by using the semi-geostrophic approximation and the method of travelling-wave solution.
Journal ArticleDOI
Nonlinear Shock and Kink Waves with Complete Coriolis Force in Earth's Atmosphere
Yu Xin,Zhao Qiang +1 more
TL;DR: In this paper, Taylor series expansion has been employed to isolate the characteristics of the linear Rossby waves and to identify the nonlinear shock and kink waves in a Boussinesq fluid model which includes both the vertical and horizontal components of Coriolis force.
References
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Book ChapterDOI
Solitons, Nonlinear Evolution Equations and Inverse Scattering: References
M. A. Ablowitz,Peter A. Clarkson +1 more
Journal ArticleDOI
Nonlinear evolution equations and ordinary differential equations of painlevè type
Solitary Rossby waves in zonal shear flows and their interactions. [in Jupiter atmosphere]
L. G. Redekopp,P. D. Weidman +1 more
Journal ArticleDOI
Solitary Rossby waves in zonal shear flows and their interactions
Larry G. Redekopp,P. D. Weidman +1 more
TL;DR: In this paper, a coupled pair of Korteweg-de-vries equations is used to describe the interaction of long-wave solitons propagating in shear flows.
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