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- Title
Integrability of the vector nonlinear Schrödinger–Maxwell–Bloch equation and the Cauchy matrix approach.
- Authors
Zhou, Hui; Huang, Yehui; Yao, Yuqin
- Abstract
We investigate the integrability and soliton solutions of the vector nonlinear Schrödinger–Maxwell–Bloch (VNLS–MB) equation. This equation is derived using the generalized -dressing method in a local matrix -problem. The vector nonlinear Schrödinger equation with self-consistent sources (VNLSSCS) is obtained and is proved to be equivalent to the VNLS–MB equation. Starting with Sylvester equation and the equivalence between the VNLS–MB and VNLSSCS equations, the -soliton solutions of the VNLS–MB equation are successfully obtained by the Cauchy matrix approach. As an application, some interesting patterns of dynamical behavior are displayed.
- Subjects
NONLINEAR equations; NONLINEAR Schrodinger equation; SYLVESTER matrix equations
- Publication
Theoretical & Mathematical Physics, 2023, Vol 215, Issue 3, p805
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1134/S0040577923060053