Conservation law of harmonic mappings in supercritical dimensions by Guo, Chang-Yu, Xiang, Chang-Lin

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Positive Solutions for a System of Semipositone Fractional Difference Boundary Value Problems by Cheng Chen, Jiafa Xu, Donal O’Regan, Zhengqing Fu

“…We adopt nonnegative concave functions and nonnegative matrices to characterize the coupling behavior of our nonlinear terms.…”
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Analyzing Similarity Solution of Modified Fisher Equation by Esen Hanaç Duruk, Mehmet Emir Koksal, Ram Jiwari

“…In this paper, we first examine the type of structure of the solutions to the modified form of a nonlinear Fisher’s reaction-diffusion equation. The existence of the traveling wave solution to the equation in the long term is observed by using dynamical system theory and exhibiting a phase space analysis of its stable points. …”
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A Family of Integrable Different-Difference Equations, Its Hamiltonian Structure, and Darboux-Bäcklund Transformation by Xi-Xiang Xu, Meng Xu

“…Based on the gauge transformation between the Lax pair, a Darboux-Bäcklund transformation of the first nonlinear different-difference equation in obtained family is deduced. …”
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Dynamics Simulation of Multistage Planetary Gear Transmission System based on LMS Motion by Zhang Zhonggang, Fang Bin, Xu Ming

“…The dynamics simulation model is established in LMS with the two- stage planetary gear system coupled model and considering the problem of nonlinear vibration of gear system. The frequency domain load map and time domain load map of gear meshing force of the system are obtained by simulation that can be used for the research of vibration and noise later. …”
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Chewing Khat Transmission Dynamics: A Mathematical Model and Stability Analysis by Abayneh Kebede Fantaye, Zerihun Kinfe Birhanu

“…In this study, the authors proposed a nonlinear deterministic model and stability analysis for the transmission dynamics of chewing khat. …”
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考虑支承跨距的非线性转子系统动力学特性研究 by 李辉, 管洪杰, 邵凤翔, 刘希东

“…According to the geometric model of spindle deformation,the total displacement relation of the front end of the spindle is obtained,and the optimum bearing span of the spindle is determined according to the minimum displacement of the front end.By means of numerical integration,the nonlinear dynamic response of the rotor system with the optimal span support is given,and the influence of rotational speed on the system dynamic response is analyzed by using axial trajectory diagram,phase portraits and Poincaré map.The results show that the rotor bearing system has good stability when it is running under the optimum support span.…”
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A Scalar Field Dark Matter Model and Its Role in the Large-Scale Structure Formation in the Universe by Mario A. Rodríguez-Meza

“…The equations that govern the evolution of the scale factor of the universe are derived together with the appropriate Newtonian equations to follow the nonlinear evolution of the structures. Results are given in terms of the power spectrum that gives quantitative information on the large-scale structure formation. …”
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Bezier Curves Method for Fourth-Order Integrodifferential Equations by F. Ghomanjani, A. V. Kamyad, A. Kılıçman

“…The Bezier curves method is applied to solve both linear and nonlinear BVPs for fourth-order integrodifferential equations. …”
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Numerical Simulation of Fractional Fornberg-Whitham Equation by Differential Transformation Method by Mehmet Merdan, Ahmet Gökdogan, Ahmet Yıldırım, Syed Tauseef Mohyud-Din

“…It is indicated that the solutions obtained by the two-dimensional DTM are reliable and present an effective method for strongly nonlinear partial equations. Exact solutions can also be obtained from the known forms of the series solutions.…”
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The Study of the Solution to a Generalized KdV-mKdV Equation by Xiumei Lv, Tengwei Shao, Jiacheng Chen

“…A mathematical technique based on an auxiliary equation and the symbolic computation system Matlab is employed to investigate a generalized KdV-mKdV equation which possesses high-order nonlinear terms. Some new solutions including the Jacobi elliptic function solutions, the degenerated soliton-like solutions, and the triangle function solutions to the equation are obtained.…”
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Electrostrictive Mechanism of Radiation Self-Action in Nanofluids by Albert Livashvili, Victor Krishtop, Margarita Yakunina

“…Explicit expressions for the nonlinear part of the refractive index and concentration lens focal length are presented. …”
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Regularization of the Shock Wave Solution to the Riemann Problem for the Relativistic Burgers Equation by Ting Zhang, Chun Shen

“…For Riemann initial data consisting of a single decreasing jump, we find that the regularization of nonlinear convective term cannot capture the correct shock wave solution. …”
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Rapid Convergence for Telegraph Systems with Periodic Boundary Conditions by Peiguang Wang, Xiang Liu

“…We consider the case in which the forcing function F(t,x,U) satisfies the following condition: ∂n-1F(t,x,U)/∂Un-1 exists and is quasimonotone nondecreasing or nonincreasing. We develop nonlinear iterates of order n-1 which will be different with n being even or odd. …”
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An Analytical Study of the External Environment of the Coevolution between Manufacturing and Logistics Based on the Logistic Model by Yunfei Zhou, Li Yan

“…This paper discusses the cooperative mechanism of external random interference factors on system evolution, analyzes the nonlinear variation of external environmental factors with time, and gives the estimation method. …”
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New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness by Wei-Shih Du

“…Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper. …”
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Cluster Synchronization of Time-Varying Delays Coupled Complex Networks with Nonidentical Dynamical Nodes by Shuguo Wang, Hongxing Yao, Mingping Sun

“…This paper investigates a new cluster synchronization scheme in the nonlinear coupled complex dynamical networks with nonidentical nodes. …”
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Solvability of Three-Point Boundary Value Problems at Resonance with a p-Laplacian on Finite and Infinite Intervals by Hairong Lian, Patricia J. Y. Wong, Shu Yang

“…By using a new continuation theorem, sufficient conditions are given, under the resonance conditions, to guarantee the existence of solutions to such boundary value problems with the nonlinear term involving in the first-order derivative explicitly.…”
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Approximate Solution of Tuberculosis Disease Population Dynamics Model by Abdon Atangana, Necdet Bildik

“…We examine possible approximate solutions of both integer and noninteger systems of nonlinear differential equations describing tuberculosis disease population dynamics. …”
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Vessel-Bridge Collision Reliability Assessment Based on Structural Dynamic Analysis by Fu Tao, Ren Xiaoqian, Wang Kai

“…This method combines the method of moments with nonlinear dynamic finite element analysis, which can enhance the efficiency of calculating failure probability.…”
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