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Volume 38, Issue 2
Lie Symmetries, Conservation Laws, Optimal System and Similarity Reductions of (2+1)-Dimensional Fractional Hirota-Maccari System

Jicheng Yu & Yuqiang Feng

DOI: 10.4208/jpde.v38.n2.6

J. Part. Diff. Eq., 38 (2025), pp. 208-226.

Published online: 2025-06

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  • 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.

  • Keywords

Lie symmetry analysis, fractional Hirota-Maccari system, one-dimensional optimal system, conservation laws.

  • AMS Subject Headings

76M60, 35G50, 37C79, 34K37

  • Copyright

COPYRIGHT: © Global Science Press

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@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} }
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 -

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.

Yu , Jicheng and Feng , Yuqiang. (2025). Lie Symmetries, Conservation Laws, Optimal System and Similarity Reductions of (2+1)-Dimensional Fractional Hirota-Maccari System. Journal of Partial Differential Equations. 38 (2). 208-226. doi:10.4208/jpde.v38.n2.6
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