Solutions of Nonlinear Integro-Partial Differential Equations by the Method of G′/G,1/G by Daba Meshesha Gusu, Chala Bulo

“…In this article, a special expansion method is implemented in solving nonlinear integro-partial differential equations of 2+1-dimensional using a special expansion method of G′/G,1/G. …”
Get full text

Method of Lower and Upper Solutions for Elliptic Systems with Nonlinear Boundary Condition and Its Applications by Ruyun Ma, Ruipeng Chen, Yanqiong Lu

“…We develop the method of lower and upper solutions for a class of elliptic systems with nonlinear boundary conditions. As its application, an elliptic system modeling a population divided into juvenile and adult age groups is studied, and we find sufficient conditions in terms of the principal eigenvalue of the corresponding linearized system, to guarantee the existence of coexistence states of the above juvenile-adult model.…”
Get full text

Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation by Judy Day, Jonathan Rubin, Gilles Clermont

Subjects: Get full text

New Nonlinear Systems Admitting Virasoro-Type Symmetry Algebra and Group-Invariant Solutions by Lizhen Wang, Qing Huang, Yanmei Di

“…With the aid of symbolic computation by Maple, we extend the application of Virasoro-type symmetry prolongation method to coupled systems with two-component nonlinear equations. New nonlinear systems admitting infinitely dimensional centerless Virasoro-type symmetry algebra are constructed. …”
Get full text

Corrigendum to “A Review of Critical Conditions for the Onset of Nonlinear Fluid Flow in Rock Fractures” by Liyuan Yu, Richeng Liu, Yujing Jiang

Get full text

Nonlinear Dynamic Characteristics of Multidisk Rod Fastening Rotor with Axial Unbalance Mass Distribution by Li Zhao, Haosui Zhang, Yibing Liu, Chao Zhou

“…The mass unbalance on different disks was used to simulate blade faults in different parts, and nonlinear factors such as oil film force and disk contact effect were considered. …”
Get full text

Nonlinearities in Drug Release Process from Polymeric Microparticles: Long-Time-Scale Behaviour by Elena Simona Bacaita, Costica Bejinariu, Borsos Zoltan, Catalina Peptu, Gabriela Andrei, Marcel Popa, Daniela Magop, Maricel Agop

“…This indicates that, in the case of long-time-scale evolutions, the drug particles assemble in a lattice of nonlinear oscillators occur macroscopically, through variations of drug concentration. …”
Get full text

Applications of the nonlinear Klein/Sinh-Gordon equations in modern physics: a numerical study by Ihteram Ali, Imtiaz Ahmad

Get full text

Nonlinear Dynamics Analysis of the Wind Turbine Gear Transmission System Considering Friction Effect by Xu Fan, Liu Wenbin, Zhang Haibo, Zhang Qiang, Wu Shijing, Wang Xiaosun, Duan Jiujun

Subjects: Get full text

The Generalized Projective Riccati Equations Method for Solving Nonlinear Evolution Equations in Mathematical Physics by E. M. E. Zayed, K. A. E. Alurrfi

“…We apply the generalized projective Riccati equations method to find the exact traveling wave solutions of some nonlinear evolution equations with any-order nonlinear terms, namely, the nonlinear Pochhammer-Chree equation, the nonlinear Burgers equation and the generalized, nonlinear Zakharov-Kuznetsov equation. …”
Get full text

Distributed Adaptive Synchronization for Complex Dynamical Networks with Uncertain Nonlinear Neutral-Type Coupling by Shi Miao, Li Junmin

“…By means of the parameters separation, the nonlinear functions can be transformed into the linearly form. …”
Get full text

Nonlinear modeling of oral glucose tolerance test response to evaluate associations with aging outcomes. by Grant Schumock, Karen Bandeen-Roche, Chee W Chia, Rita R Kalyani, Luigi Ferrucci, Ravi Varadhan

“…First, we fit OGTT curves with the Ackerman model-a nonlinear, parametric model of the glucose-insulin system-and with functional principal components analysis. …”
Get full text

Nonlinear Seismic Response Based on Different Site Types: Soft Soil and Rock Strata by Meng Xiao, Jie Cui, Ya-dong Li, Van-Quang Nguyen

“…The results show that the equivalent linear method is more effective than the nonlinear method, especially in the calculation of the strong nonlinear soft soil response induced by strong earthquakes. …”
Get full text

A New Method to Deal with the Stability of the Weak Solutions for a Nonlinear Parabolic Equation by Huashui Zhan

“…Consider the nonlinear parabolic equation ∂u/∂t-div(a(x)|∇u|p-2∇u)=f(x,t,u,∇u) with axx∈Ω>0 and a(x)x∈∂Ω=0. …”
Get full text

Global existence of weak solutions to a class of higher-order nonlinear evolution equations by Li-ming Xiao, Cao Luo, Jie Liu

Subjects: “…higher-order $ n $-dimensional nonlinear evolution equations…”
Get full text

Investigation of Nonlinear Behaviour of Semiburied Cylindrical Concrete Reservoir without Dynamic Load Effect by Mazhar Fatahi, Mahdi Meftah Halghi, Mehran Soltani Tehrani

“…The powerful numerical method FEM was used to study about the nonlinear behaviour of cylindrical reservoirs using static and dynamic nonlinear analysis. …”
Get full text

L1(R)-Nonlinear Stability of Nonlocalized Modulated Periodic Reaction-Diffusion Waves by Soyeun Jung

“…In this note, by using the pointwise estimates obtained in Jung, (2012) and Jung and Zumbrun (2016), we extend Lp(R)-nonlinear stability (p≥2) in Johnson et al. (2013) to L1(R)-nonlinear stability. …”
Get full text

NONLINEAR CHARACTERISTICS OF HERRINGBONE GEAR FOUR-BRANCHING TRANSMISSION CONSIDERING GEAR BACKLASH EFFECT by DONG Hao, FANG ZongDe, FANG Zhou, ZHAO XiaoLong

Subjects: Get full text

Nonlinear programming-based ranging optimization for three-dimensional indoor time of arrival localization by Jian Sun, Yongling Fu, Jie He, Shengguang Li, Jian Fu

“…The optimization of time of arrival ranging is defined as a nonlinear programming problem. Then, time of arrival ranging error model and geometric constraints are used to define the initial values, objective functions, and constraints of nonlinear programming, as well as to detect line of sight and nonline of sight. …”
Get full text

Nonlinear Vibrational Analysis of Nanobeams Embedded in an Elastic Medium including Surface Stress Effects by S. Azizi, B. Safaei, A. M. Fattahi, M. Tekere

“…In the present study, nonlinear free vibrational characteristics of embedded nanobeams are investigated including surface stress effects. …”
Get full text