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Differential equations are equations that relate a function to one or more of its derivatives. Nonlinear means that the equation is not directly proportional to the function and its derivatives. In other words, its varia...

Sum frequency generation (SFG) has multiple applications, from optical sources to imaging, where efficient conversion requires either long interaction distances or large field concentrations in a quadratic nonlinear mate...

ABSTRACT In this paper we study the existence, uniqueness and stability solution of fractional nonlinear integro-differential equation, by using the Picard approximation method , and Banach fixed point method. also we ex...

In this work, we propose a novel method for continuous real-time measurement of the dynamics of the nonlinear refractive index n2. This is particularly important for characterizing phenomena or materials (such as biologi...

ABSTRACT In this study we investigate the existence and approximation of the periodic solutions for nonlinear system of differential equations of third order with boundary conditions. The numerical-analytic method has be...

Nonlinear wave dynamics play an essential role in understanding energy localization, pulse transmission, and stability events in a variety of physical systems. Inspired by its importance, we study a fourth-order nonlinea...

In this paper we study the existence and uniqueness solution for system of nonlinear integro-differential equations by usingRiemann integral. For this purpose, the study depends upon(Picard approximation Method) and (Ban...

This paper investigates the distributed state estimation problem for a class of continuous-time nonlinear systems over sensor networks. The nonlinearities considered are assumed to satisfy the Incremental Quadratic Const...

Abstract In previous studies about the synchronization of vibrators, the restoring forces of springs are mainly treated as linear directly, whereas the nonlinear features are rarely considered in vibrating systems. To ma...

ABSTRACT In this paper we study the existence and approximation of the periodicsolutions for system of second order nonlinear differential equations according to Lebesgue integrable concept and by assuming that each of ...

Abstract The impedance properties of the clamped forefinger soft tissue under dorsal contact conditions have been largely overlooked, posing challenges for risk assessment in human–robot coexistence. This study address...

Intercalation has been demonstrated to be a powerful tool for tuning the physical and chemical properties of two-dimensional (2D) materials, providing the highest possible doping level and an ideal system to study variou...

Recently, a three-terminal interface dipole modulation field-effect transistor (IDM FET) memory device has been proposed that leverages electric-field-induced dipole modulation at oxide/oxide interfaces. This device has ...

Spectroscopic characterization of individual nanoparticles is essential for understanding their structure-property relationship and for applications. Upconversion nanoparticles (UCNPs) in condensed phases can undergo bot...

Abstract This work investigates the impact of a generalized quadratic-cubic form of self-phase modulation together with nonlinear chromatic dispersion on perturbed quiescent optical solitons governed by the Fokas–Lenel...

Optical logic gates based on nonlinear optical property of material with ultrafast response speed and excellent computational processing power can break the performance bottleneck of electronic transistors. As one of the...

Nonlinear response conception in rotating machinery, particularly in systems with squeeze film dampers (SFDs), pose significant challenges for established time-domain numerical methods due to bifurcations and critical po...

A simple and robust nonlinear dilatation constitutive model with clear mechanics concept is introduced, and the stiffness coefficient matrix of constitutive relationship is presented. A kind of coarsed-grained soil is co...

ABSTRACT Oscillatory dynamics play a central role in the description of a broad spectrum of physical systems. While often well‐approximated by linear models, the essential long‐term evolution and stability of these s...

In this paper, we review and discuss how nanoantennas may be used to largely enhance the nonlinear response of optical materials. For single nanoantennas, there have been tremendous advancements in understanding how to e...

A procedure for obtaining the initial value of the costate in a regular, finite-horizon, nonlinear-quadratic problem is devised in dimension one. The optimal control can then be constructed from the solution to the Hamil...

"We propose an original, simple, and direct method to measure self-steepening (SS) in nonlinear waveguides. Our proposal is based on results derived from the recently introduced photon-conserving nonlinear Schrödinger e...

Abstract Identifying nonlinear interactions among magnons is crucial for advancing the field of magnonics and developing next-generation spintronic devices. In this work, we report the experimental observation of nonline...