Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/57004
Title: Investigating the new perspectives of Caudrey-Dodd-Gibbon equation arising in quantum field theory
Authors: Şahinkaya, Abdullah Furkan
Kurt, Ali
Yalçınkaya,İIbrahim
Keywords: Beta derivative
Auxiliary equation method
Analytical solution
Partial-Differential-Equations
Publisher: Springer
Abstract: The main purpose of the paper is obtaining the analytical results for beta fractional Caudrey-Dodd-Gibbon equation which is used to resolve complex problems in fluid dynamics, chemical kinetics, plasma physics, quantum field theory, crystal dislocations, and nonlinear optics by using auxiliary method. Beta derivative is a useful fractional operator due to satisfying basic properties of integer order derivative and also, allows us using chain rule and wave transform to turn nonlinear fractional partial differential equations into integer order ordinary differential equations. By the way many analytical methods can be applied to these equations. In order to understand the physical features of the solutions, 3D and 2D graphical illustrations are given. Finally, authors expect that the obtained solutions may give a deep insight for the explanation of physical phenomena in the fluid dynamics, chemical kinetics, plasma physics, quantum field theory, crystal dislocations, and nonlinear optics.
URI: https://doi.org/10.1007/s11082-024-06636-9
https://hdl.handle.net/11499/57004
ISSN: 0306-8919
1572-817X
Appears in Collections:Fen Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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