The (2+1)-dimensional time-fractional Kundu-Mukherjee-Naskar equation: Lie point symmetries, exact solutions and conservation laws

被引：0
作者：
Ling, Tao [1 ]
Wang, Hui [1 ]
Wang, Yunhu [1 ]
机构：
[1] Shanghai Maritime Univ, Sch Sci, Shanghai 201306, Peoples R China
来源：
CHINESE JOURNAL OF PHYSICS | 2025年 / 96卷
基金：
中国国家自然科学基金;
关键词：
Lie point symmetry; Time-fractional Kundu-Mukherjee-Naskar; equation; Exact solutions; Conservation laws; DIFFUSION; ORDER;
D O I：
10.1016/j.cjph.2025.05.004
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper, the Lie point symmetry method is employed to investigate the (2+1)-dimensional time-fractional Kundu-Mukherjee-Naskar equation. Through the obtained Lie point symmetries, the studied fractional partial differential equation can be reduced to lower dimensional equations with Erd & eacute;lyi-Kober fractional operators. Meanwhile, the reduced equations are solved using the power series method, followed by a detailed convergence analysis of the power series solutions. Furthermore, conservation laws for the time-fractional Kundu-Mukherjee-Naskar equation are derived through the conservation theorem and generalized Noether operators.
引用
收藏
页码：700 / 715
页数：16
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