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Group classification and exact solutions of fractional differential equation with quintic non-Kerr nonlinearity term.

Authors :
Kumar, Manish
Gupta, Rajesh Kumar
Source :
Optical & Quantum Electronics. Jun2023, Vol. 55 Issue 6, p1-19. 19p.
Publication Year :
2023

Abstract

The present study examines the fractional Triki-Biswas model, which provides insight into the ultrashort pulse propagation phenomenon in optical fibers. A classical symmetry analysis is conducted to obtain generalized symmetries and solutions, including functions such as Weierstrass elliptic and Jacobi elliptic. Additionally, the generalized Arnous scheme is employed to derive more general solutions, including hyperbolic functions. The dynamic behavior of these solutions is studied using 2D and 3D graphs. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03068919
Volume :
55
Issue :
6
Database :
Academic Search Index
Journal :
Optical & Quantum Electronics
Publication Type :
Academic Journal
Accession number :
163870564
Full Text :
https://doi.org/10.1007/s11082-023-04754-4