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Zeliha Körpinar

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
optical solitons, the time fractional Phi-four equation, conformable derivative, mapping methods
PAPER SUBMITTED: 2019-01-08
PAPER REVISED: 2019-06-20
PAPER ACCEPTED: 2019-07-10
PUBLISHED ONLINE: 2019-09-15
DOI REFERENCE: https://doi.org/10.2298/TSCI190108341K
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 6, PAGES [S1815 - S1822]
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Some analytical solutions by mapping methods for non-linear conformable time-fractional PHI-4 equation

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