A New Variable-Coefficient Riccati Subequation Method for Solving Nonlinear Lattice Equations by Fanwei Meng

“…We propose a new variable-coefficient Riccati subequation method to establish new exact solutions for nonlinear differential-difference equations. For illustrating the validity of this method, we apply it to the discrete (2 + 1)-dimensional Toda lattice equation. …”
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The Extended Hyperbolic Function Method for Generalized Forms of Nonlinear Heat Conduction and Huxley Equations by Yong Huang, Yadong Shang

“…The extended hyperbolic function method is used to derive abundant exact solutions for generalized forms of nonlinear heat conduction and Huxley equations. The extended hyperbolic function method provides abundant solutions in addition to the existing ones. …”
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Global Asymptotic Stability of Nonlinear Strict Feedback System via Backstepping Control Approach by Suka Garagara Kinwi, Stephen Ekwueme Aniaku, Christopher Chukwuma Asogwa, Emmanuel Chukwudi Mbah

“…The design of controller for nonlinear system in strict feedback form in which the equilibrium point is the origin is the focus of the study. …”
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Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density by Nasser-Eddine Tatar

“…We consider a nonlinear viscoelastic problem and prove that the solutions are uniformly bounded and decay exponentially to zero as time goes to infinity. …”
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Traveling wavefronts for a discrete diffusive Lotka-Volterra competition system with nonlocal nonlinearities by Zhi-Jiao Yang, Guo-Bao Zhang, Juan He

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Nonlinear Fractional Jaulent-Miodek and Whitham-Broer-Kaup Equations within Sumudu Transform by Abdon Atangana, Dumitru Baleanu

“…We solve the system of nonlinear fractional Jaulent-Miodek and Whitham-Broer-Kaup equations via the Sumudu transform homotopy method (STHPM). …”
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Spatial Domain Adaptive Control of Nonlinear Rotary Systems Subject to Spatially Periodic Disturbances by Yen-Hsiu Yang, Cheng-Lun Chen

“…We propose a generic spatial domain control scheme for a class of nonlinear rotary systems of variable speeds and subject to spatially periodic disturbances. …”
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Positive Solutions to Periodic Boundary Value Problems of Nonlinear Fractional Differential Equations at Resonance by Lei Hu

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Stochastic Nonlinear Thermoelastic System Coupled Sine-Gordon Equation Driven by Jump Noise by Shuilin Cheng, Yantao Guo, Yanbin Tang

“…This paper considers a stochastic nonlinear thermoelastic system coupled sine-Gordon equation driven by jump noise. …”
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Multiplicity Results for Variable-Order Nonlinear Fractional Magnetic Schrödinger Equation with Variable Growth by Jianwen Zhou, Bianxiang Zhou, Yanning Wang

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Positive Solutions for Systems of Nonlinear Higher Order Differential Equations with Integral Boundary Conditions by Yaohong Li, Xiaoyan Zhang

“…By constructing some general type conditions and using fixed point theorem of cone, this paper investigates the existence of at least one and at least two positive solutions for systems of nonlinear higher order differential equations with integral boundary conditions. …”
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Positive Solutions for a Coupled System of Nonlinear Semipositone Fractional Boundary Value Problems by S. Nageswara Rao, M. Zico Meetei

“…In this paper, we consider a four-point coupled boundary value problem for system of the nonlinear semipositone fractional differential equation D0+αu(t)+λf(t,u(t),v(t))=0,  0<t<1, D0+αv(t)+μg(t,u(t),v(t))=0,  0<t<1, u(0)=v(0)=0,  a1D0+βu(1)=b1D0+βv(ξ), a2D0+βv(1)=b2D0+βu(η),  η,ξ∈(0,1), where the coefficients ai,bi,i=1,2 are real positive constants, α∈(1,2],β∈(0,1],D0+α, D0+β are the standard Riemann-Liouville derivatives. …”
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A Novel Adaptive Probabilistic Nonlinear Denoising Approach for Enhancing PET Data Sinogram by Musa Alrefaya, Hichem Sahli

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Numerical Blow-Up Time for a Semilinear Parabolic Equation with Nonlinear Boundary Conditions by Louis A. Assalé, Théodore K. Boni, Diabate Nabongo

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An analytical investigation of nonlinear time-fractional Schrödinger and coupled Schrödinger–KdV equations by Yogeshwari F. Patel, Mohammad Izadi

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Nonlinear Failure Analysis of Critical Area of Transmission Towers Based on the Continuum Damage Theory by Nailong Zhang, Jie Chen, Chao Gao, Xiao Tan, Hongze Li

“…This paper introduces a nonlinear damage analysis method rooted in the continuous damage theory, specifically designed for critical areas of transmission towers. …”
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Feedforward and Feedback Vibration Control and Algorithm Design for Cable-Bridge Structure Nonlinear Systems by Yan-Jun Liang, Shi-Liang Wu, De-Xin Gao, Xiao-Rong Xue

“…Buffeting loading systems of long-span cable-bridge structure are constructed by weighted amplitude wave superposition method. Nonlinear model of cable-bridge coupled vibration control system is established and the corresponding system of state space form is described. …”
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Critical Blow-Up and Global Existence for Discrete Nonlinear p-Laplacian Parabolic Equations by Soon-Yeong Chung

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Kamenev-Type Oscillation Criteria of Second-Order Nonlinear Dynamic Equations on Time Scales by Yang-Cong Qiu, Qi-Ru Wang

“…Using functions from some function classes and a generalized Riccati technique, we establish Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales of the form (p(t)ψ(x(t))k∘xΔ(t))Δ+f(t,x(σ(t)))=0. …”
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Linear and nonlinear record high optical birefringence in anisotropic van der Waals crystals by Luca Sortino

“…Recent reports highlight novel vdW materials, particularly PdPSe, a pentagonal crystal with strong nonlinear responses, and As2S3, a record high birefringence crystal, as favorable candidates to engineer nonlinear responses and miniaturization of optical components, owing to the combination of high refractive index and strong optical anisotropy of the underlying crystal structures. …”
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