@Article{JPDE-38-208, author = {Yu , Jicheng and Feng , Yuqiang}, title = {Lie Symmetries, Conservation Laws, Optimal System and Similarity Reductions of (2+1)-Dimensional Fractional Hirota-Maccari System}, journal = {Journal of Partial Differential Equations}, year = {2025}, volume = {38}, number = {2}, pages = {208--226}, abstract = {

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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v38.n2.6}, url = {http://global-sci.org/intro/article_detail/jpde/24217.html} }