Solutions of Smooth Nonlinear Partial Differential Equations by Jan Harm van der Walt

“…As an indication of how the general theory can be applied to particular nonlinear equations, we construct generalized solutions of the parametrically driven, damped nonlinear Schrödinger equation in one spatial dimension.…”
Get full text

Theoretical and Computational Advances in Nonlinear Dynamical Systems by Zhi-Yuan Sun, Panayotis G. Kevrekidis, Xin Yu, K. Nakkeeran

Get full text

Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…In the present work, an interesting mini-review of hidden attractors in dynamical systems with associated nonlinear functions is carried out. Chaotic systems with nonlinear functions often possess hidden attractors due to their inherent complexity. …”
Get full text

Analytical Solutions for Nonlinear Dispersive Physical Model by Wen-Xiu Ma, Mohamed R. Ali, R. Sadat

“…Nonlinear evolution equations widely describe phenomena in various fields of science, such as plasma, nuclear physics, chemical reactions, optics, shallow water waves, fluid dynamics, signal processing, and image processing. …”
Get full text

Network traffic nonlinear prediction combined with mutifractal by WANG Sheng-hui, QIU Zheng-ding

Get full text

Nonstationary Heat Equation with Nonlinear Side Condition by Tomas Belickas, Kristina Kaulakytė, Gintaras Puriuškis

Subjects: “…nonstationary heat equation, inverse problem, very weak solution, nonlinear side condition…”
Get full text

The Stability of Nonlinear Differential Systems with Random Parameters by Josef Diblík, Irada Dzhalladova, Miroslava Růžičková

“…The paper deals with nonlinear differential systems with random parameters in a general form. …”
Get full text

Gaussian Pyramid for Nonlinear Support Vector Machine by Rawan Abo Zidan, George Karraz

“…Despite its generalization capability, SVM is usually posed as a quadratic programming (QP) problem to find a separation hyperplane in nonlinear cases. This needs huge quantities of computational time and memory for large datasets, even for moderately sized ones. …”
Get full text

A Simple Solution and Dilatancy Characterization for a Circular Tunnel Excavated in the Nonlinear Strain-Softening and Nonlinear Dilatancy Rock Mass by Xiuling Wang

“…This solution allows for the description of the intermediate principal stress effect, the nonlinear strain-softening and dilatancy behaviors of the rock mass. …”
Get full text

Geometric numerical integrators based on the Magnus expansion in bifurcation problems for non-linear elastic solids by A. Castellano, P. Foti, A. Fraddosio, S. Marzano, M. D. Piccioni

Subjects: “…Nonlinear elasticity…”
Get full text

Haar Wavelet Method for Nonlinear Vibration of Functionally Graded CNT-Reinforced Composite Beams Resting on Nonlinear Elastic Foundations in Thermal Environment by Jianyu Fan, Jin Huang

“…This paper presents a simple and effective approach based on the Haar wavelet discretization method (HWDM) for the nonlinear vibration analysis of carbon nanotube-reinforced composite (CNTRC) beams resting on a nonlinear elastic foundation in a thermal environment. …”
Get full text

Modelling of low-velocity impacts on composite beams in large displacement by M. Utzeri, M. Sasso, G. Chiappini, S. Lenci

Subjects: Get full text

Nonlinear Vibration Analysis of Submerged Floating Tunnel Tether by Sheng-nan Sun, Zhi-bin Su, Yun-fen Feng

“…To study the nonlinear vibration characteristics of submerged floating tunnel tether, the nonlinear vibration partial differential equation of tether is set up, in which the inclination, sag, initial tension force, and length of tether are taken into account. …”
Get full text

Controllability and Observability Analysis of Nonlinear Positive Discrete Systems by Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir

“…This article studies the controllability and observability of nonlinear positive discrete systems. These properties play a fundamental role in system analysis before controller and observer design is engaged. …”
Get full text

Viscosity solutions of fully nonlinear functional parabolic PDE by Liu Wei-an, Lu Gang

“…By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. …”
Get full text

On Newton-Kantorovich Method for Solving the Nonlinear Operator Equation by Hameed Husam Hameed, Z. K. Eshkuvatov, Anvarjon Ahmedov, N. M. A. Nik Long

“…We develop the Newton-Kantorovich method to solve the system of 2×2 nonlinear Volterra integral equations where the unknown function is in logarithmic form. …”
Get full text

Nonlinear normalized fractional electroosmotic spacelike fluid model by Talat Körpinar, Zeliha Körpinar, Ali Akgül, Qasem Al-Mdallal

Get full text

On Weakly Singular Versions of Discrete Nonlinear Inequalities and Applications by Kelong Cheng, Chunxiang Guo, Qingke Zeng

“…Some new weakly singular versions of discrete nonlinear inequalities are established, which generalize some existing weakly singular inequalities and can be used in the analysis of nonlinear Volterra type difference equations with weakly singular kernels. …”
Get full text

On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay by Fang Li, Ti-Jun Xiao, Hong-Kun Xu

“…Of concern is a class of nonlinear neutral fractional integrodifferential inclusions with infinite delay in Banach spaces. …”
Get full text

A model for the nonlinear mechanism responsible for cochlear amplification by Kimberly Fessel, Mark H. Holmes

Subjects: Get full text