Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics

Explicit travelling wave solutions to the time fractional Phi-four equation and their applications in mathematical physics

Abstract In applied research, fractional calculus plays an important role for comprehending a wide range of intricate physical phenomena. One of the Klein-Gordon model’s peculiar case yields the Phi-four equation. Additionally, throughout the past few decades it has been utilized to explain the kink...

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Bibliographic Details
Main Authors: Ayesha Farooq, Tooba Shafique, Muhammad Abbas, Asnake Birhanu, Y. S. Hamed
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
Subjects:
Time-fractional Phi-Four equation
Bernoulli sub-ODE method
Extended direct algebraic method
$$\beta$$ -Derivative
M-truncated derivative
Conformable derivative
Online Access:https://doi.org/10.1038/s41598-025-86177-7
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https://doi.org/10.1038/s41598-025-86177-7

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