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- Title
Exact N-soliton solutions and dynamics of two types of matrix nonlinear Schrödinger equation.
- Authors
Wang, Xinyu; Zhi, Hongyan
- Abstract
The dynamical properties of the optical solitons in two types of matrix nonlinear Schrödin-ger (NLS) equation are studied by Riemann–Hilbert method. Firstly, the inverse scattering transform of the matrix NLS equation is investigated and the corresponding Riemann–Hilbert problem is established. Then, by solving the Riemann–Hilbert problem of discrete spectrum, the N-soliton solutions of the matrix NLS equations are obtained. Finally, the single-soliton solution, two-soliton solution and three-soliton solution of the matrix NLS equations are attained. It is proved that the two-soliton solution is decomposed into two single-soliton solutions when the time approaches infinity and the multiple solitons will overlap and form a bound state advancing at the same velocity when they have the same velocity.
- Subjects
SCHRODINGER equation; NONLINEAR Schrodinger equation; INVERSE scattering transform; RIEMANN-Hilbert problems; OPTICAL solitons; S-matrix theory; BOUND states
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 22, p21191
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08903-y