## THERMAL SCIENCE

International Scientific Journal

### EXACT SOLUTIONS WITH ARBITRARY FUNCTIONS OF THE (4+1)-DIMENSIONAL FOKAS EQUATION

**ABSTRACT**

In this paper, the (4+1)-dimensional Fokas equation is solved by the generalized F-expansion method, and new exact solutions with arbitrary functions are obtained. The obtained solutions include Jacobi elliptic function solutions, hyperbolic function solutions and trigonometric function solutions. It is shown that the generalized F-expansion method can be used for constructing exact solutions with arbitrary functions of some other high dimensional partial differential equations in fluids.

**KEYWORDS**

PAPER SUBMITTED: 2018-04-25

PAPER REVISED: 2018-06-23

PAPER ACCEPTED: 2019-08-01

PUBLISHED ONLINE: 2019-09-14

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Issue 4**, PAGES [2403 - 2411]

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