## THERMAL SCIENCE

International Scientific Journal

### THE NEW EXACT SOLITARY SOLUTIONS FOR THE (3+1)-DIMENSIONAL ZAKHAROV-KUZNETSOV EQUATION USING THE RICCATI EQUATION

**ABSTRACT**

In this paper, a non-linear (3+1)-dimensional Zakharov-Kuznetsov equation is investigated by employing the subsidiary equation method, which arises in quantum magneto plasma. The periodic solutions, rational wave solutions, soliton solutions for the quantum Zakharov-Kuznetsov equation which play an important role in mathematical physics are obtained with the help of the Riccati equation expansion method. Meanwhile, the electrostatic potential can be accordingly obtained. Compared to the other methods, the exact solutions obtained will extend on earlier reports by using the Riccati equation.

**KEYWORDS**

PAPER SUBMITTED: 2020-05-01

PAPER REVISED: 2020-08-01

PAPER ACCEPTED: 2020-08-25

PUBLISHED ONLINE: 2020-11-27

**THERMAL SCIENCE** YEAR

**2020**, VOLUME

**24**, ISSUE

**Issue 6**, PAGES [3995 - 4000]

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