Articles with "phi equation" as a keyword



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Two reliable techniques for the analytical study of conformable time-fractional Phi-4 equation

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Published in 2017 at "Optical and Quantum Electronics"

DOI: 10.1007/s11082-017-1288-9

Abstract: In this article, two newly developed methods, namely the exp$$(-~\Phi (\xi ))$$(-Φ(ξ)) method and the modified Kudryashov method are used to extract the exact solutions of the nonlinear fractional Phi-4 equation in the sense of… read more here.

Keywords: conformable time; time fractional; phi equation; fractional phi ... See more keywords
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Periodic solution of fractal Phi-4 equation

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Published in 2021 at "Thermal Science"

DOI: 10.2298/tsci200502032l

Abstract: This paper focuses on a fractal Phi-4 equation with time-space fractal derivatives, though its solitary solutions have been deeply studied, its periodic solution was rarely revealed due to its strong non-linearity. Now the condition is… read more here.

Keywords: periodic solution; phi equation; solution fractal; equation ... See more keywords