Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise
Yükleniyor...
Dosyalar
Tarih
2025-03-28
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media LLC
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we consider the coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. The coupled nonlinear Schrödinger equation, which shows the complex envelope amplitudes of the two modulated weakly resonant waves in two polarisations and is used to describe the pulse propagation in high birefringence fibre, has several uses in optical fibres.query:Journal instruction requires a city for affiliations; however, these are missing in affiliation [6]. Please verify if the provided city are correct and amend if necessary. The underlying model is analyzed numerically and analytically as well. For the computational results, the proposed stochastic backward Euler scheme is developed and its consistency is derived in the mean square sense. For the linear stability analysis, Von-Neumann criteria is used, given proposed stochastic scheme is unconditionally stable. The exact optical soliton solutions are constructed with the help of the [Formula: see text]-model expansion technique, which provided us with the Jacobi elliptic function solutions that will explore optical solitons and solitary waves as well. The initial and boundary conditions are constructed for the numerical result by some optical soliton solutions. The 3D, 2D and corresponding contour plot are drawn for the different values of noise. Mainly, the comparison of results is shown graphically in 3D and line plots for some newly constructed solutions by selecting suitable parameters value.
Açıklama
Anahtar Kelimeler
[Formula: see text]-model expansion, Comparison of results, Exact solutions, Proposed stochastic backward Euler scheme, Stochastic coupled NLSE.
Kaynak
Scientific Reports
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
15
Sayı
1
Künye
Baber, M. Z., Ahmed, N., Yasin, M. W., Iqbal, M. S., Akgül, A., Hassani, M. K., & Jawaz, M. (2025). Reliable numerical scheme for coupled nonlinear Schrödinger equation under the influence of the multiplicative time noise. Scientific Reports, 15(1), 10707.
