Dynamics of optical solitons in the fifth-order nonlinear Schrödinger equation.
- Resource Type
- Article
- Authors
- Feng, Haoxuan; Wang, Xinyu
- Source
- Optik - International Journal for Light & Electron Optics. Aug2022, Vol. 264, pN.PAG-N.PAG. 1p.
- Subject
- *NONLINEAR Schrodinger equation
*OPTICAL solitons
*SCHRODINGER equation
*RIEMANN-Hilbert problems
*INVERSE scattering transform
- Language
- ISSN
- 0030-4026
The dynamics of optical solitons in the fifth-order equation of nonlinear Schrödinger type is investigated by Riemann–Hilbert formulation and asymptotic analysis. Firstly, the inverse scattering transform of the fifth-order equation of nonlinear Schrödinger type is developed and the corresponding Riemann–Hilbert problem is established. Then the N -soliton solution is derived by analyzing the Riemann–Hilbert problem in term of discrete spectrums. Finally, the dynamical behaviors of the exact single-soliton, second-order soliton and third-order soliton solutions are analyzed graphically and it is proved that two-soliton solution will be decomposed into two one-soliton solution as time tends to infinity. [ABSTRACT FROM AUTHOR]