## THERMAL SCIENCE

International Scientific Journal

### SOME ANALYTICAL SOLUTIONS BY MAPPING METHODS FOR NON-LINEAR CONFORMABLE TIME-FRACTIONAL PHI-4 EQUATION

**ABSTRACT**

In this paper, the practice of two types of mapping methods are used to solve the time fractional Phi-four equation by means of conformable fractional derivative. The solutions are derived using Jacobi's elliptic functions for two different value of the modulus and are obtained the some soliton solutions. The found solutions are identified bright optical soliton, dark soliton, singular soliton, combo soliton solution and periodic solutions.

**KEYWORDS**

PAPER SUBMITTED: 2019-01-08

PAPER REVISED: 2019-06-20

PAPER ACCEPTED: 2019-07-10

PUBLISHED ONLINE: 2019-09-15

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**Supplement 6**, PAGES [S1815 - S1822]

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