Optical envelope soliton solutions for coupled nonlinear Schrödinger equations applicable to high birefringence fibers

AM Wazwaz, W Albalawi, SA El-Tantawy - Optik, 2022 - Elsevier
In this work, a two coupled nonlinear Schrödinger equation (CNLSE) which is applicable to
high birefringence fibers is investigated. We operate a variety of ansatze to derive a variety …

Optical soliton and modulation instability in the high birefringence fiber

WT Huang, FF Liu, X Lü, JP Wang, HT Xu - Nonlinear Dynamics, 2022 - Springer
In this paper, we investigate a coupled nonlinear Schrödinger equation which describes the
propagation of optical signal in the high birefringence fiber. Analytic one-and two-soliton …

[HTML][HTML] Numerical study of generalized 2-D nonlinear Benjamin–Bona–Mahony–Burgers equation using modified cubic B-spline differential quadrature method

P Joshi, M Pathak, J Lin - Alexandria Engineering Journal, 2023 - Elsevier
The objective of this work is to present the modified cubic B-spline differential quadrature
(MCBSDQ) method for the numerical study of the generalized 2-D nonlinear Benjamin …

TT-M finite element algorithm for the coupled Schrödinger–Boussinesq equations

J Tian, Z Sun, Y Liu, H Li - Axioms, 2022 - mdpi.com
In this article, the coupled Schrödinger–Boussinesq equations are solved numerically using
the finite element method combined with the time two-mesh (TT-M) fast algorithm. The …

Modeling the level of drinking water clarity in surabaya city drinking water regional company using combined estimation of multivariable fourier series and kernel

AT Ampa, IN Budiantara, I Zain - Sustainability, 2022 - mdpi.com
The purpose of this study is to propose an appropriate model to predict chemical
composition during water purification at the Regional Water Company (PDAM) Surabaya, in …

Solitons, kink-solitons and breather solutions of the two-coupled incoherent nonlinear Schrödinger equation

L Yang, B Gao - Nonlinear Dynamics, 2024 - Springer
In this paper, we attain the analytical soliton solutions for the two-coupled incoherent
nonlinear Schrödinger equation via the Hirota bilinear method, and this equation is always …

A numerical solver based on Haar wavelet to find the solution of fifth-order differential equations having simple, two-point and two-point integral conditions

M Ahsan, W Lei, M Junaid, M Ahmed… - Journal of Applied …, 2024 - Springer
This article introduces a Haar wavelet-based numerical method for solving fifth-order linear
and nonlinear differential equations. This method easily handles both homogeneous and …

A unified framework of high order structure-preserving B-splines Galerkin methods for coupled nonlinear Schrödinger systems

P Castillo, S Gómez - Computers & Mathematics with Applications, 2021 - Elsevier
Using a general computational framework, we derive an optimal error estimate in the L 2
norm for a semi discrete method based on high order B-splines Galerkin spatial …

[PDF][PDF] Stability analysis of the implicit finite difference schemes for nonlinear Schrödinger equation

E Lee, D Kim - AIMS Mathematics, 2022 - aimspress.com
This paper analyzes the stability of numerical solutions for a nonlinear Schrödinger equation
that is widely used in several applications in quantum physics, optical business, etc. One of …

Quintic and biquintic B-spline finite element solutions of clamped structures

LM Kuhn, K Champagne, C Ennis… - International Journal for …, 2024 - Taylor & Francis
Recent studies on the control of smart material partial differential equation systems point
toward a need for considering higher-ordered polynomial splines in the formulation of bases …