Time-fractional generalized fifth-order KdV equation: Lie symmetry analysis and conservation laws
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Published:2023-03-10
Issue:
Volume:11
Page:
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ISSN:2296-424X
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Container-title:Frontiers in Physics
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language:
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Short-container-title:Front. Phys.
Author:
Wang Zhenli,Sun Liangji,Hua Rui,Su Lingde,Zhang Lihua
Abstract
The purpose of this study is to apply the Lie group analysis method to the time-fractional order generalized fifth-order KdV (TFF-KdV) equation. We examine applying symmetry analysis to the TFF-KdV equation with the Riemann–Liouville (R–L) derivative, employing the G′/G-expansion approach to yield trigonometric, hyperbolic, and rational function solutions with arbitrary constants. The discovered solutions are unique and have never been studied previously. For solving non-linear fractional partial differential equations, we find that the G′/G-expansion approach is highly effective. Finally, conservation laws for the equation are well-built with a full derivation based on the Noether theorem.
Funder
National Natural Science Foundation of China
Publisher
Frontiers Media SA
Subject
Physical and Theoretical Chemistry,General Physics and Astronomy,Mathematical Physics,Materials Science (miscellaneous),Biophysics
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