Cubic-quartic optical solitons with polarization-mode dispersion by the improved adomian decomposition scheme by Afrah M. Almalki, A.A. AlQarni, H.O. Bakodah, A.A. Alshaery, Ahmed H. Arnous, Anjan Biswas

“…This method decomposes both linear and nonlinear differential equations into simpler sub-problems, enabling the extraction of approximate analytical solutions without the need for linearization or perturbation techniques. …”
Get full text

Sliding Mode Controller-Based BFCL for Fault Ride-Through Performance Enhancement of DFIG-Based Wind Turbines by Mehdi Firouzi, Mojtaba Nasiri, Saleh Mobayen, G. B. Gharehpetian

“…This paper proposes a nonlinear sliding mode controller (SMC) for the BFCL to enhance the FRT performance of the DFIG-based WT. …”
Get full text

Unveiling uncertain forces in second-order driven oscillators via internal model: A discrete-time feedback by R. Femat, C. Jiménez-gallegos

“…In principle, if the internal model tracks the trajectory of the nonlinear system, then the uncertain force is recovered by the stabilizing command.…”
Get full text

On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative by Mehmet Merdan

“…Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. …”
Get full text

A Toeplitz Jacobian Matrix/Fast Fourier Transformation Method for Steady-State Analysis of Discontinuous Oscillators by T. Ge, A. Y. T. Leung

“…Oscillators with piecewise nonlinear characteristics are taken as illustrative examples. …”
Get full text

Exact Boundary Controller Design for a Kind of Enhanced Oil Recovery Models by Ping Guo, Changhua Wei, Wenjun Xiong, Chunlan Zhao

“…With a simple transformation, the enhanced oil recovery model is first affirmed to be neither genuinely nonlinear nor linearly degenerate. It is then shown that the enhanced oil recovery system with nonlinear boundary conditions is exactly boundary controllable by applying a constructed method. …”
Get full text

Some Modern Problems in Structural Engineering Dynamics by I. Elishakoff, D. Pentaras

“…One problem is linear, the other is nonlinear. Authors have a biased preferential view on these problems because of their active involvement in the discussed research topics. …”
Get full text

Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising by Yuying Shi, Qianshun Chang

“…The algorithm consists of an efficient solver for the nonlinear system and an acceleration strategy for the outer iteration. …”
Get full text

Best Proximity Point for the Sum of Two Non-Self-Operators by V. Pragadeeswarar, R. Gopi, M. De la Sen

“…Moreover, we provide the existence of the best proximity point for the cyclic contraction through the notion of the nonlinear D-set contraction. Finally, we give the existence of the best proximity point for the sum of the nonlinear D-set contraction mapping and partially completely continuous mapping in the setting of the partially ordered complete normed linear space.…”
Get full text

Generation and Modified Projective Synchronization for a Class of New Hyperchaotic Systems by Nuo Jia, Tao Wang

“…A class of new hyperchaotic systems with different nonlinear terms is proposed, and the existence of hyperchaos is exhibited by calculating their Lyapunov exponent spectrums. …”
Get full text

Existence and blow up of solutions of a viscoelastic <mml:math display="inline"><mml:mrow><mml:mi>m</mml:mi><mml:mo class="MathClass-open">(</mml:mo><mml:mi>x</mml:mi><mml:mo class... by Gülistan Butakın, Erhan Pişkin

“…In this paper, we are concerned with a logarithmic nonlinear viscoelastic m(x)…”
Get full text

Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations by Shaobo Zhou

“…A highly nonlinear example is provided to illustrate the main theory.…”
Get full text

Statistical and Dynamical Decoupling of the IGM from Dark Matter by Li-Zhi Fang, Weishan Zhu

“…The dynamical reason of the decoupling is the difference of the nonlinear evolution of baryon fluid from that of collisionless dark matter. …”
Get full text

Numerical Analysis on Chaotic Vibration of Drive System for a Movable Tooth Piezoelectric Motor by Chong Li, Jichun Xing, Jiwen Fang, Zhong Zhao

“…The nonlinear dynamic equations of the drive system for movable tooth piezoelectric motor are established. …”
Get full text

Analysis of the Fractional-Order Kaup–Kupershmidt Equation via Novel Transforms by Naveed Iqbal, Humaira Yasmin, Ali Rezaiguia, Jeevan Kafle, A. Othman Almatroud, Taher S. Hassan

“…This technique is a mixture of the novel integral transformation Elzaki transformation and the new iteration technique. The nonlinear term can be handled easily by a new iteration technique. …”
Get full text

Feng’s First Integral Method Applied to the ZKBBM and the Generalized Fisher Space-Time Fractional Equations by Huitzilin Yépez-Martínez, Ivan O. Sosa, Juan M. Reyes

“…The fractional derivatives in the sense of the modified Riemann-Liouville derivative and Feng’s first integral method are employed to obtain the exact solutions of the nonlinear space-time fractional ZKBBM equation and the nonlinear space-time fractional generalized Fisher equation. …”
Get full text

The New Semianalytical Technique for the Solution of Fractional-Order Navier-Stokes Equation by Nehad Ali Shah, Mounirah Areshi, Jae Dong Chung, Kamsing Nonlaopon

“…Precisely, we provide the details of implementing the suggested technique to investigate the fractional-order nonlinear models. Second, we test the efficiency and the validity of the technique on the fractional-order Navier-Stokes models. …”
Get full text

Rogue Wave for the (3+1)-Dimensional Yu-Toda-Sasa-Fukuyama Equation by Hanlin Chen, Zhenhui Xu, Zhengde Dai

“…This result shows rogue wave can come from extreme behavior of breather solitary wave for (3+1)-dimensional nonlinear wave fields.…”
Get full text

On an Initial Boundary Value Problem for a Class of Odd Higher Order Pseudohyperbolic Integrodifferential Equations by Said Mesloub

“…This paper is devoted to the study of the well-posedness of an initial boundary value problem for an odd higher order nonlinear pseudohyperbolic integrodifferential partial differential equation. …”
Get full text

New Wavelets Collocation Method for Solving Second-Order Multipoint Boundary Value Problems Using Chebyshev Polynomials of Third and Fourth Kinds by W. M. Abd-Elhameed, E. H. Doha, Y. H. Youssri

“…This paper is concerned with introducing two wavelets collocation algorithms for solving linear and nonlinear multipoint boundary value problems. The principal idea for obtaining spectral numerical solutions for such equations is employing third- and fourth-kind Chebyshev wavelets along with the spectral collocation method to transform the differential equation with its boundary conditions to a system of linear or nonlinear algebraic equations in the unknown expansion coefficients which can be efficiently solved. …”
Get full text