journal article·2024-01-01Open access

Disturbation to Lie symmetry for constrained Hamiltonian system within Agrawal’s operators

Shi-Lei Shen, Chuan-Jing Song

AIP Advances· Volume 14· Issue 1

Abstract

Lie theorem for a constrained Hamiltonian system under Agrawal’s operators is studied and proved. First, two fractional singular systems are listed. Second, the Lie symmetry of the constrained Hamiltonian system under Agrawal’s operators is defined. Third, Lie theorems of two fractional constrained Hamiltonian systems are derived and proved, and Lie conserved quantities are obtained. Furthermore, the disturbation to symmetry under Agrawal’s operators is studied. An application is given in the end.
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Research context

OpenAlex topics: Fractional Differential Equations Solutions · Nonlinear Waves and Solitons · Advanced Differential Equations and Dynamical Systems

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Mathematical Sciences, Suzhou University of Science and Technology , Suzhou 215009, People’s Republic of China

Funding

National Natural Science Foundation of China

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