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- Title
Lie symmetry analysis, exact solutions, and conservation laws to multi-component nonlinear Schrödinger equations.
- Authors
Bai, Yu-Shan; Liu, Ya-Na; Ma, Wen-Xiu
- Abstract
The multi-component nonlinear Schrödinger equations (MNLS) are derived by extending the single-component nonlinear Schrödinger equation to multiple interacting fields. These equations often describe the dynamics of wave packets in quantum mechanics or nonlinear optics. In this paper, we investigate MNLS equations via the Lie symmetry method. The Lie infinitesimal symmetries of the MNLS equations are derived by solving recursive determining equations, and the symmetry reductions of the equations are given by using symmetry variables. Moreover, some interesting explicit solutions for the equations are constructed. Finally, the conservation laws of the MNLS equations are obtained utilizing Ibragimov's method with detailed derivation.
- Subjects
NONLINEAR Schrodinger equation; WAVE packets; CONSERVATION laws (Mathematics); CONSERVATION laws (Physics); SYMMETRY; QUANTUM mechanics; NONLINEAR mechanics
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 19, p18439
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08833-9