LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR (2+1)-DIMENSIONAL COUPLED TIME-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS

Fang Wang; Xiufang Feng; Shangqin He; Panpan Wang

doi:10.11948/20240318

2025 Volume 15 Issue 3

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Article navigation > Journal of Applied Analysis & Computation > 2025 > 15(3): 1601-1615

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Fang Wang, Xiufang Feng, Shangqin He, Panpan Wang. LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR (2+1)-DIMENSIONAL COUPLED TIME-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1601-1615. doi: 10.11948/20240318

Citation:

Fang Wang, Xiufang Feng, Shangqin He, Panpan Wang. LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR (2+1)-DIMENSIONAL COUPLED TIME-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS[J]. Journal of Applied Analysis & Computation, 2025, 15(3): 1601-1615. doi: 10.11948/20240318

LIE SYMMETRY ANALYSIS AND CONSERVATION LAWS FOR (2+1)-DIMENSIONAL COUPLED TIME-FRACTIONAL NONLINEAR SCHRÖDINGER EQUATIONS

1.
School of Mathematics and Statistics, Ningxia University, Ningxia 750021, China
2.
School of Mathematics and Information Sciences, North Minzu University, Ningxia 750021, China

Author Bio: Email: 12021140036@stu.nxu.edu.cn(F. Wang); Email: 12022140038@stu.nxu.edu.cn(P. Wang)
Corresponding authors: Email: xf_feng@nxu.edu.cn(X. Feng); Email: hsq101@163.com(S. He)
Fund Project: This work were supported by the National Science Foundation of Ningxia Province (Grant No. 2023AAC03257), Scientific research project of Ningxia Education Department (Grant No. NYG2022062) and the National Natural Science Foundation of China (Grant No. 11961054)

Abstract

Abstract

Lie symmetry analysis is used to solve coupled time-fractional nonlinear Schrödinger equations. Having established the Lie point symmetries of the original equations, they are reduced to nonlinear fractional ordinary differential equations. Exact solutions are found and then subjected to in-depth convergence analysis. Also, conservation laws for the coupled time-fractional nonlinear Schrödinger equations are derived systematically by leveraging the powerful Ibragimov method.
- Lie symmetry analysis /
- coupled time-fractional nonlinear Schrödinger equations /
- exact solutions /
- conservation laws
MSC: 34K37, 35Q55

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