TY - JOUR
T1 - Lie Symmetries, Conservation Laws, Optimal System and Similarity Reductions of (2+1)-Dimensional Fractional Hirota-Maccari System
AU - Yu , Jicheng
AU - Feng , Yuqiang
JO - Journal of Partial Differential Equations
VL - 2
SP - 208
EP - 226
PY - 2025
DA - 2025/06
SN - 38
DO - http://doi.org/10.4208/jpde.v38.n2.6
UR - https://global-sci.org/intro/article_detail/jpde/24217.html
KW - Lie symmetry analysis, fractional Hirota-Maccari system, one-dimensional optimal system, conservation laws.
AB - <p style="text-align: justify;">In this paper, Lie symmetry analysis method is applied to one type of mathematical physics equations named the (2+1)-dimensional fractional Hirota-Maccari system. All Lie symmetries and the corresponding conserved vectors for the system are
obtained. The one-dimensional optimal system is utilized to reduce the aimed equations with Riemann-Liouville fractional derivative to the (1+1)-dimensional fractional
partial differential equations with Erdélyi-Kober fractional derivative.</p>