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- Title
The integrability, equivalence and solutions of two kinds of integrable deformed fourth-order matrix NLS equations.
- Authors
Yao, Yuqin; Zhou, Hui; Li, Fei
- Abstract
Based on the higher-order restricted flows, the first type of integrable deformed fourth-order matrix NLS equations, that is, the fourth-order matrix NLS equations with self-consistent sources (FMNLSSCS), is derived. By virtue of the ∂ ¯ -dressing method, the second type of integrable deformed fourth-order matrix NLS equations called the fourth-order matrix NLS–Maxwell–Bloch system (FMNLS-MB) is presented. We prove the equivalence of the FMNLSSCS and the FMNLS-MB successfully. Furthermore, N-soliton solutions are explicitly obtained by means of the Cauchy matrix method starting from corresponding Sylvester equation.
- Subjects
SYLVESTER matrix equations; EQUATIONS; MATHEMATICAL equivalence
- Publication
Nonlinear Dynamics, 2023, Vol 111, Issue 9, p8673
- ISSN
0924-090X
- Publication type
Article
- DOI
10.1007/s11071-023-08275-3