## THERMAL SCIENCE

International Scientific Journal

### A FORCED 3-D TIME FRACTIONAL ZK-BURGERS MODEL FOR ROSSBY SOLITARY WAVES WITH DISSIPATION AND THERMAL FORCING

**ABSTRACT**

In the paper, beginning from the quasi-geostrophic potential vorticity equation with the dissipation and thermal forcing in stratified fluid, by employing multi-scale analysis and perturbation method, we derive a forced 3-D Zakharov Kuznetsor (ZK)-Burgers equation describe the propagation of the Rossby solitary waves within the fractional derivative. The exact solutions are given by virtue of the (G’/G)-expansion method to analyze the excitation effect of thermal forcing on the Rossby waves.

**KEYWORDS**

PAPER SUBMITTED: 2018-06-12

PAPER REVISED: 2018-09-20

PAPER ACCEPTED: 2019-02-27

PUBLISHED ONLINE: 2019-05-26

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**3**, PAGES [1689 - 1695]

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