A strong-form local meshless approach based on radial basis function-finite difference (RBF-FD) method for solving multi-dimensional coupled damped Schrödinger …
Ö Oruç - Communications in Nonlinear Science and Numerical …, 2022 - Elsevier
In this work, one-dimensional (1D), two-dimensional (2D) and three-dimensional (3D)
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …
coupled damped Schrödinger system is solved numerically. A strong-form local meshless …
Numerical solutions of nonlinear Schrodinger equation with applications in optical fiber communication
Optical soliton is a nonlinear wave with huge information or data which travels over larger
distance in optical fibers. This paramount application of optical soliton forced many …
distance in optical fibers. This paramount application of optical soliton forced many …
Structure of optical solitons of resonant Schrödinger equation with quadratic cubic nonlinearity and modulation instability analysis
The resonant nonlinear Schrödinger equation (NLSE) having quadratic-cubic nonlinearity
for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved …
for describing pulse phenomena and studied in nonlinear optics. In this work, we achieved …
[HTML][HTML] Numerical simulation of one-dimensional nonlinear Schrodinger equation using PSO with exponential B-spline
Particle swarm optimization (PSO) is a widely adopted, rapid, efficient, and computer-friendly
technique for optimization in various fields, including computer science, engineering, and …
technique for optimization in various fields, including computer science, engineering, and …
A numerical treatment of the coupled viscous Burgers' equation in the presence of very large Reynolds number
A Başhan - Physica A: Statistical Mechanics and its Applications, 2020 - Elsevier
A numerical investigation of the coupled viscous Burgers' equation for very large Reynolds
numbers do not exist in the literature. Coupled viscous Burgers' equations are solved …
numbers do not exist in the literature. Coupled viscous Burgers' equations are solved …
Highly efficient approach to numerical solutions of two different forms of the modified Kawahara equation via contribution of two effective methods
A Başhan - Mathematics and Computers in Simulation, 2021 - Elsevier
The numerical solutions of the two different forms of the modified Kawahara equation
namely bell-shaped soliton solutions and travelling wave solutions that occur thereby the …
namely bell-shaped soliton solutions and travelling wave solutions that occur thereby the …
An efficient approximation to numerical solutions for the Kawahara equation via modified cubic B-spline differential quadrature method
A Başhan - Mediterranean Journal of Mathematics, 2019 - Springer
The main purpose of this work is to obtain the numerical solutions for the Kawahara
equation via the Crank–Nicolson–Differential Quadrature Method based on modified cubic B …
equation via the Crank–Nicolson–Differential Quadrature Method based on modified cubic B …
Finite difference method combined with differential quadrature method for numerical computation of the modified equal width wave equation
The aim of this study is to improve the numerical solution of the modified equal width wave
equation. For this purpose, finite difference method combined with differential quadrature …
equation. For this purpose, finite difference method combined with differential quadrature …
Stochastic perturbation of analytical solutions for the dispersive concatenation model with spatio-temporal dispersion having multiplicative white noise
We present distinct types of analytical waveform solutions of the dispersive concatenation
model which involves spatio-temporal dispersion, Hamiltonian perturbation terms and …
model which involves spatio-temporal dispersion, Hamiltonian perturbation terms and …
A mixed algorithm for numerical computation of soliton solutions of the coupled KdV equation: Finite difference method and differential quadrature method
A Başhan - Applied Mathematics and Computation, 2019 - Elsevier
The aim of the manuscript is to investigate numerical solutions of the system of coupled
Korteweg-de Vries equation. For this approximation, we have used finite difference method …
Korteweg-de Vries equation. For this approximation, we have used finite difference method …