Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions

Combined ZK-mZK equation for Rossby solitary waves with complete Coriolis force and its conservation laws as well as exact solutions

Blog Article

Abstract In the present paper, a new partial differential equation has been obtained to describe the Rossby solitary waves with makita rf1101 complete Coriolis force by employing multi-scale analysis and perturbation method, we call it combined ZK-mZK equation.The equation can reflect the propagation of Rossby waves on the plane and is more appropriate for the real ocean and atmosphere than the ( 1 + 1 ) $(1+1)$ dimensional models (such as KdV and mKdV), which can only represent the propagation of Rossby solitary waves in a line.Furthermore, by adopting the multiplier method, we construct conservation laws of the jordan 12 nubuck combined ZK-mZK equation, which is meaningful for researching the global stability of solutions.

Finally, we deduce the exact solutions of the combined ZK-mZK equation via the semi-inverse variational principle.By applying these exact solutions, some propagation features of Rossby solitary waves are analyzed.