Results 41 to 50 of about 79 (75)

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, Volume 40, Issue 3, Page 544-564, March 2026.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Fractional Novel Analytical Method (FNAM): An Improved Innovative Numerical Scheme to Solve Fractional Differential‐Difference Equations

Engineering Reports, Volume 8, Issue 2, February 2026.
This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad, Mariam Sultana, Homan Emadifar, Atul Kumar   +3 more
wiley   +1 more source

Exploring solitary wave solutions to the simplified modified camassa-holm equation through a couple sophisticated analytical approaches

Results in Physics
The simplified modified Camassa-Holm equation, a developed Korteweg-de Vries equation, is an integrable nonlinear dispersive water wave equation with potential applications in diverse fields such as shallow water waves, liquid drop patterning, water ...
Sujoy Devnath, Shahansha Khan, M. Ali Akbar   +2 more
doaj   +1 more source

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +1 more source

Extraction of newly soliton wave structure of generalized stochastic NLSE with standard Brownian motion, quintuple power law of nonlinearity and nonlinear chromatic dispersion

Physics Open
Stochastic optical solitons are a fascinating phenomenon in nonlinear optics where soliton-like behavior emerges in systems affected by stochastic noise. This study investigates the influence of Brownian motion on wave propagation in optical fibers.
Islam Samir, Karim K. Ahmed, Hamdy M. Ahmed, Homan Emadifar, Wafaa B. Rabie   +4 more
doaj   +1 more source

Exploring the impact of Brownian motion on novel closed-form solutions of the extended Kairat-II equation.

PLoS ONE
This work considers a stochastic form of an extended version of the Kairat-II equation by adding Browning motion into the deterministic equation. Two analytical approaches are utilized to derive analytical solutions of the modified equation.
Khaled Aldwoah, Alaa Mustafa, Tariq Aljaaidi, Khidir Mohamed, Amer Alsulami, Mohammed Hassan   +5 more
doaj   +1 more source

Bifurcation analysis, chaotic behavior, sensitivity demonstration and dynamics of fractional solitary waves to nonlinear dynamical system

Ain Shams Engineering Journal
In various fields of nonlinear sciences, fractional derivatives improve the accuracy and understanding of nonlinear dynamics. This study explores the fractional (2+1) dimensional nonlinear Schrödinger equation arising in the diversity of engineering ...
Usman Younas, Ejaz Hussain, Jan Muhammad, Mubariz Garayev, Mohammed El-Meligy   +4 more
doaj   +1 more source

Investigating the stochastic higher dimensional nonlinear Schrodinger equation to telecommunication engineering

Scientific Reports
In this paper, we examine numerous soliton solutions of the nonlinear (3+1)-dimensional stochastic Schrödinger equation which is indispensable for describing wave propagation in noisy or random conditions, and catches the interaction between nonlinearity
Aziz Khan, Jan Muhammad, Usman Younas, Rajermani Thinakaran, Thabet Abdeljawad, Manar A. Alqudah   +5 more
doaj   +1 more source

Abundant soliton solutions in saturated ferromagnetic materials modeled via the fractional Kraenkel–Manna–Merle system

Scientific Reports
The Modified Generalized Riccati Equation Mapping Technique is employed to discover novel solutions for the Fractional Kraenkel–Manna–Merle system. In this system, a nonlinear of ultra_short wave pulse propagates across saturated ferromagnetic-materials ...
Loubna Ouahid, Maryam Alshahrani, A. Mohamed Abdel-Baset, M. A. Abdou, Ali Akgül, Murad Khan Hassani   +5 more
doaj   +1 more source

Exploring the multistability, sensitivity, and wave profiles to the fractional Sharma–Tasso–Olver equation in the mathematical physics

AIP Advances
In this work, we study the solitary wave profiles of the fractional-Sharma–Tasso–Olver equation, which is applicable to particle fission and fusion mechanisms in nuclear physics.
Li Ming, Jan Muhammad, David Yaro, Usman Younas   +3 more
doaj   +1 more source