Solving the Fornberg–Whitham Model Derived from Gilson–Pickering Equations by Analytical Methods

Solving the Fornberg–Whitham Model Derived from Gilson–Pickering Equations by Analytical Methods

This paper focuses on obtaining traveling wave solutions of the Fornberg–Whitham model derived from Gilson–Pickering equations, which describe the prorogation of waves in crystal lattice theory and plasma physics by some analytical techniques, i.e., the exp-function method (EFM), the multi-exp funct...

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Bibliographic Details
Main Authors: Donal O’Regan, Safoura Rezaei Aderyani, Reza Saadati, Tofigh Allahviranloo
Format: Article
Language:English
Published: MDPI AG 2024-01-01
Series:Axioms
Subjects:
Fornberg–Whitham model
Gilson–Pickering equation
analytical methods
partial differential equations
Online Access:https://www.mdpi.com/2075-1680/13/2/74
Description
Summary:This paper focuses on obtaining traveling wave solutions of the Fornberg–Whitham model derived from Gilson–Pickering equations, which describe the prorogation of waves in crystal lattice theory and plasma physics by some analytical techniques, i.e., the exp-function method (EFM), the multi-exp function method (MEFM) and the multi hyperbolic tangent method (MHTM). We analyze and compare them to show that MEFM is the optimum method.
ISSN:2075-1680

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