@Article{JICS-19-103,
author = {He , XiuqiLu , Changna and Hou , Cunjuan},
title = {Lie Symmetries, Conservation Laws and Solutions for (4+1)-Dimensional Time Fractional KP Equation with Variable Coefficients in Fluid Mechanics},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {19},
number = {2},
pages = {103--130},
abstract = {<p style="text-align: justify;">In recent years, high-dimensional fractional equations have gained prominence as a pivotal focus of interdisciplinary research spanning mathematical physics,
fluid mechanics, and related fields. In this paper, we investigate a (4+1)-dimensional
time-fractional Kadomtsev-Petviashvili (KP) equation with variable coefficients. We
first derive the (4+1)-dimensional time-fractional KP equation with variable coefficients
in the sense of the Riemann-Liouville fractional derivative using the semi-inverse and
variational methods. The symmetries and conservation laws of this equation are analyzed through Lie symmetry analysis and a new conservation theorem, respectively.
Finally, both exact and numerical solutions of the fractional-order equation are obtained
using the Hirota bilinear method and the pseudo-spectral method. The effectiveness
and reliability of the proposed approach are demonstrated by comparing the numerical
solutions of the derived models with exact solutions in cases where such solutions are
known.</p>},
issn = {3080-180X},
doi = {https://doi.org/10.4208/JICS-2024-007},
url = {http://global-sci.org/intro/article_detail/jics/23893.html}
}