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Optical soliton solutions of stochastic the third-order nonlinear Schrödinger equation with multiplicative white noise via Itô calculus
This research paper tackles with the optical soliton solutions of stochastic the third-order nonlinear Schrödinger equation having multiplicative...
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Stochastic optical solitons of the perturbed nonlinear Schrödinger equation with Kerr law via Ito calculus
In this paper, we studied stochastic perturbed nonlinear Schrödinger equation in fibers with Kerr law nonlinearity. The investigated model is...
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The Dynamics of the Hubbard Model Through Stochastic Calculus and Girsanov Transformation
As a typical quantum many body problem, we consider the time evolution of density matrix elements in the Bose-Hubbard model. For an arbitrary initial...
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High-stochastic solitons for the eighth-order NLSE through Itô calculus and STD with higher polynomial nonlinearity and multiplicative white noise
This research is the first to deal with high stochastic solitons of the eighth-order NLSE that have higher polynomial nonlinearity and use Itô...
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Stochastic Mechanics The Unification of Quantum Mechanics with Brownian Motion
Stochastic mechanics is a theory that holds great promise in resolving the mathematical and interpretational issues encountered in the canonical and...
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Adaptive synchronization of the switching stochastic neural networks with time-dependent delays
This paper investigates the synchronization analysis of stochastic neural networks (SNNs) with Markovian switching parameters and time-dependent...
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Non-fragile event-triggered control for PMSM model with stochastic disturbances
This paper aims to design a non-fragile event-triggered control algorithm to stabilize the performance of wind energy conversion systems involving...
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Optimal control system of multi-term fractional stochastic inclusion with Clarke’s subdifferential
This article examines the optimal control of multi-term fractional stochastic inclusion with Clarke’s subdifferential driven by mixed fractional...
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Numerical treatment of singular functional systems in quantum calculus: adaptive backpropagated Levenberg–Marquardt neural networks
AbstractThe purpose of this research is to investigate the numerical solutions of singular functional delay differential equations (SFDDEs) of third,...
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Quantum mechanics from stochastic processes
We construct an explicit one-to-one correspondence between non-relativistic stochastic processes and solutions of the Schrödinger equation and...
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New bright and dark stochastic optical solitons related to an eighth-order NLSE in the presence of higher order polynomial nonlinearity
The main objective of this research is to investigates the intricate realm of high stochastic solitons. The underlying model is an eighth-order...
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Stochastic Approach to Population Dynamics
We analyze a stochastic approach to population dynamics in which the number of individuals in each class is treated as a stochastic variable. The...
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Stochastic and corpuscular theory of (polarized) light
Both the corpuscular theory of light and the theory of stochastic processes are well known in the literature. However, they are not systematically...
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Diffusion with Stochastic Resetting
The stochastic resetting processes, whereby the position of the particle is reset to a fixed location at a random sequence of times, are frequently...
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Software Technology Management Under Stochastic Environment
Software Technology plays a vital role in our day-to-day life. Hence it becomes important to manage software technology. One of the important aspects...
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Optimal Total Variation Bounds for Stochastic Differential Delay Equations with Small Noises
In this paper, we study the central limit theorem for the solutions of stochastic differential delay equations with small noises. Our aim is to...
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Borel resummation of secular divergences in stochastic inflation
We make use of Borel resummation to extract the exact time dependence from the divergent series found in the context of stochastic inflation....
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Optical solitons for the stochastic perturbed Schrödinger–Hirota equation using two different methods
Our goal in this paper is to obtain the stochastic wave solutions of the stochastic perturbed Schrödinger–Hirota equation. Our study mainly depends...
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Diffusion models as stochastic quantization in lattice field theory
In this work, we establish a direct connection between generative diffusion models (DMs) and stochastic quantization (SQ). The DM is realized by...