THE SIMULATION OF ELECTRICAL SIGNALS PROPAGATION IN THE HEART MUSCLE OF THE HUMAN USING SOFTWARE PACKAGE COMSOL by A. V. Dyadova, A. S. Ogorodnikov

“…In this paper, it can be formulated as a solution to a system of nonlinear differential equations with given initial and boundary conditions. …”
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Novel Multivariate Integral Operators Incorporating Trigonometric Transformations by Christophe Chesneau

“…The creation of new nonlinear multivariate integral operators is motivated by the need for mathematical tools that can handle the complex interdependencies that naturally arise in contemporary applications. …”
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Higher Dimensional Kadomtsev–Petviashvili Equation: New Collision Phenomena by Hajar F. Ismael, Usman Younas, Tukur Abdulkadir Sulaiman, Muhammad Amin S. Murad, Nehad Ali Shah, Shams Forruque Ahmed

“…The higher dimensional Kadomtsev−Petviashvili equation and its expansions have attracted a great deal of scientific interest during the past few decades. Several nonlinear phenomena in a range of domains, like the dynamics of long waves with modest amplitudes in oceans and plasma physics, are studied using this family. …”
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The non-Fourier–Fick’s heat and mass flux effect in a bioconvective nanofluid flow over a stretching cylinder with suction/injection and convective conditions by Endale Ersino Bafe, Mitiku Daba Firdi, Lemi Guta Enyadene

“…The governing equations are transformed into nonlinear ODEs and solved using a spectral local linearization method. …”
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TEMPORALITY OF THE NARRATIVE OF CONTEMPORARY TRAVEL LITERATURE (Based on Cees Nooteboom’s work) by Olena I. Kretova, Pavlo V. Kretov

“…The temporality of the narrative of modern travel literature also implies an increased role of the imagological aspect, that is, visualization based on images or descriptions, which reflects the emergence of virtual subgenres of the meta-genre. …”
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An Open-Source Framework for Modeling RC Shear Walls Using Deep Neural Networks by German Solorzano, Vagelis Plevris

“…Reinforced concrete (RC) shear walls macroscopic models are simplified strategies able to simulate the complex nonlinear behavior of RC shear walls to some extent, but their efficacy and robustness are limited. …”
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Computational Analysis of a Novel Iterative Scheme with an Application by Fayyaz Ahmad, Kifayat Ullah, Junaid Ahmad, Ahmad Aloqaily, Nabil Mlaiki

“…Eventually, we solve a 2D nonlinear Volterra Integral Equation (VIE) via the application of our main outcome. …”
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Analytical insights and physical behavior of solitons in the fractional stochastic Allen-Cahn equations using a novel method by A. Nazari-Golshan

“…The FESGM offered a robust framework for handling fractional stochastic systems, while the MGM provided complementary insights into nonlinear dynamics. The findings were validated through 2D and 3D visualizations, highlighting the interplay between fractional effects and noise. …”
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Research on Calibration Method of Laser Camera Sensor by LIU Shiwang, HU Yunqing, LIN Jun

“…Laser camera sensor calibration is a key work step for a visual inspection system, and accurate solution of calibration model parameters is the difficulty of laser camera sensor calibration. …”
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Fractals and Chaotic Solitons Phenomena in Conformable Coupled Higgs System by Naveed Iqbal, Wael W. Mohammed, Amjad E. Hamza, Shah Hussain, Yousef Jawarneh, Rasool Shah

“…To achieve our goal, we utilize a transformation-based analytical technique, namely, the generalized Bernoulli equation method (gBEM), which reduces CCHS to nonlinear ordinary differential equations (NODEs) via a fractional complex transformation. …”
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Multiscale Hjorth Descriptor on Epileptic EEG Classification by Achmad Rizal, Sugondo Hadiyoso, Suci Aulia, Inung Wijayanto, null Triwiyanto, Ziani Said

“…Since the characteristics of EEG signals are nonlinear and nonstationary, visual inspection becomes very difficult. …”
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PENYELESAIAN PERSAMAAN DUFFING OSILATOR PADA APLIKASI WEAK SIGNAL DETECTION MENGGUNAKAN METODE AVERAGING by Z A Tamimi, S B Waluya

“…</p><p class="BasicParagraph"><em>On the differential equations there is classificaton i.e linear differential equations and nonlinear differential equations. One example of nonlinear differential equations is Duffing equation. …”
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Analyzing the chaotic and stability behavior of a duffing oscillator excited by a sinusoidal external force by MK Abohamer, TS Amer, A Arab, AA Galal

“…The influence of excitation and the quadratic parameter on bifurcation diagrams, LES, and Poincaré maps helps us understand the intricate behavior of nonlinear oscillatory systems, such as DO. The presented oscillator is a compelling example of elucidating the nonlinear behavior observed in numerous engineering and physics phenomena.…”
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Dynamics of thermophoretic waves in graphene sheets: on the study of interaction phenomena by Usman Younas, Tukur A. Sulaiman, A. A. Rahimzai, Hajar F. Ismael, Naila Nasreen, Adil Jhangeer

“…These results illustrate the physical properties of solutions and the collision-related components of a variety of nonlinear physical processes.…”
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Modulation instability, and dynamical behavior of solitary wave solution of time M- fractional clannish random Walker's Parabolic equation via two analytic techniques by Mohammed Kbiri Alaoui, Mahtab Uddin, Md. Mamunur Roshid, Harun Or Roshid, M.S. Osman

“…The theory of solitary waves or solitons is crucial in nonlinear models due to their ability to propagate without distortion, making them essential in fields like physics, biology, engineering, and mathematics. …”
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New insights into fractional twin-core couplers: bifurcation and sensitivity analysis by Zizhao Zhou, M. S. Abbas, K. El-Rashidy, Intakhab Alam Qadri, Muhammad Abuzar, Ali Akgül, Murad Khan Hassani

“…Subsequently, a planar dynamical system is introduced, and bifurcation analysis is performed to determine the bifurcation structures of the nonlinear and super-nonlinear travelling wave solutions of the proposed model. …”
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A Petrov–Galerkin approach for the numerical analysis of soliton and multi-soliton solutions of the Kudryashov–Sinelshchikov equation by H. Samy, W. Adel, I. Hanafy, M. Ramadan

“…This equation has multiple applications including the modeling of propagation for nonlinear waves in various physical systems. Through detailed numerical simulations using the finite element approach, we present a set of accurate solitary and soliton solutions for this equation. …”
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An analytical investigation of the Van Der Waals gas system: Dynamics insights into bifurcation, optical pattern along with sensitivity and chaotic analysis by Muhammad Moneeb Tariq, Muhammad Aziz-ur-Rehman, Muhammad Bilal Riaz

“…This paper focuses on obtaining exact solutions for the nonlinear Van der Waals gas system using the modified Khater method. …”
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Mathematical modeling of tumor-immune dynamics: stability, control, and synchronization via fractional calculus and numerical optimization by Safoura Rezaei Aderyani, Reza Saadati, Fatemeh Rezaei Aderyani, Osman Tunç

“…We establish the well-posedness of this model by demonstrating the existence and uniqueness of solutions through fixed point theorems and examine stability via nonlinear analysis. Numerical simulations are performed using Lagrangian-piecewise interpolation across various fractional and fractal parameters, providing visual insights into the complex interplay between immune cells and cancer cells under different conditions. …”
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Medical Image Classification Algorithm Based on Weight Initialization-Sliding Window Fusion Convolutional Neural Network by Feng-Ping An

“…A new network weight initialization method is proposed, which alleviates the problem that existing deep learning model initialization is limited by the type of the nonlinear unit adopted and increases the potential of the neural network to handle different visual tasks. …”
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