Linearization: Geometric, Complex, and Conditional by Asghar Qadir

“…Lie symmetry analysis provides a systematic method of obtaining exact solutions of nonlinear (systems of) differential equations, whether partial or ordinary. …”
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Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications by Sumei Ai, Yongfu Su

“…The authors have obtained the following results: (1) the definition of uniformly closed countable family of nonlinear mappings, (2) strong convergence theorem by the monotone hybrid algorithm for two countable families of hemirelatively nonexpansive mappings in a Banach space with new method of proof, (3) two examples of uniformly closed countable families of nonlinear mappings and applications, (4) an example which is hemirelatively nonexpansive mapping but not weak relatively nonexpansive mapping, and (5) an example which is weak relatively nonexpansive mapping but not relatively nonexpansive mapping. …”
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Traveling Wave Solutions of the Kadomtsev-Petviashvili-Benjamin-Bona-Mahony Equation by Zhengyong Ouyang

“…The results imply that we can deduce bell-shaped waves from periodic waves for some nonlinear evolution equations.…”
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Traveling Wave Solutions of Space-Time Fractional Generalized Fifth-Order KdV Equation by Dianchen Lu, Chen Yue, Muhammad Arshad

“…At the end, three types of exact traveling wave solutions are obtained which indicate that the method is very practical and suitable for solving nonlinear fractional partial differential equations.…”
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Communication channels with variable parameters by V. L. Khazan, M. N. Kovaleva

“…The theory of «paired echoes» is a universal mathematical apparatus for analyzing linear and nonlinear phenomena in radio engineering circuits and communication channels. …”
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Fractional Integral Inequalities via Hadamard’s Fractional Integral by Weerawat Sudsutad, Sotiris K. Ntouyas, Jessada Tariboon

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Separation method of predistortion for Wiener PA by CHEN Kai-ya, WANG Min-xi

“…The method first separated memory subsystem and nonlinear subsystem from Wiener PA, and then got their corresponding predistortion subsystems by identification algorithm. …”
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Existence and Attractivity for Fractional Evolution Equations by Yong Zhou, Jia Wei He, Bashir Ahmad, Ahmed Alsaedi

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Impulsive Multiorders Riemann-Liouville Fractional Differential Equations by Weera Yukunthorn, Sotiris K. Ntouyas, Jessada Tariboon

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Irregular Attractors by Vadim S. Anishchenko, Galina I. Strelkova

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A Pseudospectral Algorithm for Solving Multipantograph Delay Systems on a Semi-Infinite Interval Using Legendre Rational Functions by E. H. Doha, D. Baleanu, A. H. Bhrawy, R. M. Hafez

“…A new Legendre rational pseudospectral scheme is proposed and developed for solving numerically systems of linear and nonlinear multipantograph equations on a semi-infinite interval. …”
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Adaptive Asymptotic Tracking Control for a Class of Uncertain Switched Systems via Dynamic Surface Technique by Xuemiao Chen, Qianjin Zhao, Chunsheng Zhang, Jian Wu

“…A novel adaptive tracking control scheme is proposed for a class of uncertain nonlinear switched systems with perturbations in this paper. …”
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Behavior of Uniform Anisotropic Beams of Rectangular Section under Transverse Impact of a Mass by Lu Chun, K. Y. Lam

“…The impactor and laminated composite beam are treated as a system. The nonlinear differential governing equations of motion are then derived based on the Lagrange principle and modified nonlinear contact law, and solved numerically. …”
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Analyse the effect of carbon fiber reinforced polymer (CFRP) strengthening of beams using ANSYS by Sabiha Barour, Abdesselam Zergua, Farid Bouziadi, Waleed Abed Jasim

“… This paper presents a nonlinear finite element model analysis to effect of carbon fiber reinforced polymer (CFRP) strengthening of beams using ANSYS, Finite element software ANSYS 12.0 has been used for modeling the beams by conducting nonlinear static analysis. …”
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Online Detection of Abnormal Events in Video Streams by Tian Wang, Jie Chen, Hichem Snoussi

“…The algorithm consists of an image descriptor and online nonlinear classification method. We introduce the covariance matrix of the optical flow and image intensity as a descriptor encoding moving information. …”
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Functional differential equations with infinite delay in Banach spaces by Jin Liang, Tijun Xiao

“…Moreover, we discuss the relation between the exponential asymptotic stability of the zero solution of nonlinear functional differential equation with infinite delay in a Banach space and the exponential stability of the solution semigroup of the corresponding linear equation, and find that the exponential stability problem of the zero solution for the nonlinear equation can be discussed only in the exponentially fading memory phase space.…”
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Positive Solutions for a Class of Third-Order Three-Point Boundary Value Problem by Xiaojie Lin, Zhengmin Fu

“…We investigate the problem of existence of positive solutions for the nonlinear third-order three-point boundary value problem u‴(t)+λa(t)f(u(t))=0, 0<t<1, u(0)=u′(0)=0, u″(1)=∝u″(η), where λ is a positive parameter, ∝∈(0,1), η∈(0,1), f:(0,∞)→(0,∞), a:(0,1)→(0,∞) are continuous. …”
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Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method by Yinghui He, Shaolin Li, Yao Long

“…This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. …”
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Higher Order Compact Finite Difference Schemes for Unsteady Boundary Layer Flow Problems by P. G. Dlamini, S. S. Motsa, M. Khumalo

“…This work extends its applications to nonlinear partial differential equations modelling unsteady boundary layer flows. …”
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A Collocation Method for Solving Fractional Riccati Differential Equation by Yalçın Öztürk, Ayşe Anapalı, Mustafa Gülsu, Mehmet Sezer

“…Using collocation points, we have the system of nonlinear algebraic equation. Then, we solve the system of nonlinear algebraic equation using Maple 13, and we have the coefficients of the truncated Taylor sum. …”
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