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Hina Zulfiqar

Publications and source records attributed to Hina Zulfiqar.

4 recordsLinked to original sources
arXiv2024

On the solitary wave configurations of nonlinear Schrödinger equation under the effect of Lévy noise

This study aims to examine the effect of Lévy noise on the solutions of the nonlinear Schrödinger equation. An improved diversity of stochastic solutions is instinctively located discretely on certain conditions by applying the generalized Kudryashov method. Moreover, the dynamical behaviors of these exact results of the nonlinear Schrödinger equation are interpreted in the context of the effect of Lévy noise. Even mathematical evaluations have been conducted and presented.

math.DS↗
arXiv2022

Slow manifolds for stochastic Koper models with stable Lévy noises

The Koper model is a vector field in which the differential equations describe the electrochemical oscillations appearing in diffusion processes. This work focuses on the understanding of the slow dynamics of stochastic Koper model perturbed by stable Lévy noise. We establish the slow manifold for stochastic Koper model with stable Lévy noise and verify exponential tracking property. We also present a practical example to demonstrate the analytical results with numerical simulations.

math.DS↗
arXiv2018

Slow manifold and parameter estimation for a nonlocal fast-slow stochastic evolutionary system

We establish a slow manifold for a fast-slow stochastic evolutionary system with anomalous diffusion, where both fast and slow components are influ- enced by white noise. Furthermore, we prove the exponential tracking property for the random slow manifold and this leads to a lower dimensional reduced sys- tem based on the slow manifold. Also we consider parameter estimation for this nonlocal fast-slow stochastic dynamical system, where only the slow component is observable. In quantifying parameters in stochastic evolutionary systems, this offers an advantage of dimension reduction.

math.DS↗