Error Analysis of an Implicit Spectral Scheme Applied to the Schrödinger-Benjamin-Ono System by Juan Carlos Muñoz Grajales

“…We develop error estimates of the semidiscrete and fully discrete formulations of a Fourier-Galerkin numerical scheme to approximate solutions of a coupled nonlinear Schrödinger-Benjamin-Ono system that describes the motion of two fluids with different densities under capillary-gravity waves in a deep water regime. …”
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Existence and blow up for viscoelastic hyperbolic equations with variable exponents by Ying Chu, Bo Wen, Libo Cheng

“…In this article, we consider a nonlinear viscoelastic hyperbolic problem with variable exponents. …”
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Vector Solitons of a Coupled Schrödinger System with Variable Coefficients by Juan Carlos Muñoz Grajales

“…We show the existence of waveforms of finite-energy (vector solitons) for a coupled nonlinear Schrödinger system with inhomogeneous coefficients. …”
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A multi-base harmonic balance method applied to Hodgkin-Huxley model by Aymen Balti, Valentina Lanza, Moulay Aziz-Alaoui

“…Our aim is to propose a new robust and manageable technique, called multi-base harmonic balance method, to detect and characterize the periodic solutions of a nonlinear dynamical system. Our case test is the Hodgkin-Huxley model, one of the most realistic neuronal models in literature. …”
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New Neumann System Associated with a 3 × 3 Matrix Spectral Problem by Fang Li, Liping Lu

“…The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense. …”
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Some Random Fixed-Point Theorems for Weakly Contractive Random Operators in a Separable Banach Space by Kenza Benkirane, Abderrahim EL Adraoui, El Miloudi Marhrani

“…Finally, the main result is supported by an example and used to prove the existence and the uniqueness of a solution of a nonlinear stochastic integral equation system.…”
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Exact Solutions of Newell-Whitehead-Segel Equations Using Symmetry Transformations by Khudija Bibi, Khalil Ahmad

“…In this article, Lie and discrete symmetry transformation groups of linear and nonlinear Newell-Whitehead-Segel (NWS) equations are obtained. …”
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Response Solutions for a Singularly Perturbed System Involving Reflection of the Argument by Shanliang Zhu, Shufang Zhang, Xinli Zhang, Qingling Li

“…In this paper, the existence and uniqueness of response solutions, which has the same frequency ω with the nonlinear terms, are investigated for a quasiperiodic singularly perturbed system involving reflection of the argument. …”
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Existence Results for a Class of Semilinear Fractional Partial Differential Equations with Delay in Banach Spaces by Bo Zhu, Baoyan Han, Xiangyun Lin

“…In this paper, we consider a class of nonlinear time fractional partial differential equations with delay. …”
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Ant Colony Optimization Analysis on Overall Stability of High Arch Dam Basis of Field Monitoring by Peng Lin, Xiaoli Liu, Hong-Xin Chen, Jinxie Kim

“…A typical dam parameter feedback problem is proposed for nonlinear back-analysis numerical model based on field monitoring deformation and ACO. …”
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Characterizing Climatic Socio‐Environmental Tipping Points in Coastal Communities: A Conceptual Framework for Research and Practice by J. E. Shortridge, A. Bukvic, M. Mitchell, J. Goldstein, T. Allen

“…Abstract The concept of climate tipping points in socio‐environmental systems is increasingly being used to describe nonlinear climate change impacts and encourage social transformations in response to climate change. …”
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Size Effect of Concrete Specimens on the Acoustic Emission Characteristics under Uniaxial Compression Conditions by Jianbo Wu, Enyuan Wang, Xuekun Ren, Mingwei Zhang

“…The cumulative AE rings at the peak stress showed nonlinear growth with the increase of the concrete size. …”
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Efficient Probabilistic and Geometric Anatomical Mapping Using Particle Mesh Approximation on GPUs by Linh Ha, Marcel Prastawa, Guido Gerig, John H. Gilmore, Cláudio T. Silva, Sarang Joshi

“…First, it requires a robust registration framework that does not depend on intensity measurements and can handle large nonlinear shape variations. Second, it involves the expensive computation of nonlinear deformations with high degrees of freedom. …”
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Application of mean maximum Young’s modulus value as a new parameter for differential diagnosis of prostate diseases by Nailei Huang, Xinge Cao, Zhong Li, Haoyu Wang, Wei Zhao, Jun Shi

“…The relationship between m-Emax and prostate disease was consistent with the nonlinear effect showed by tissues as an elastic model in normal physiological activity areas. …”
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Limitations of Smoothening Functions for Automotive Vibro-Impact Problems by Zhiwei Zhang, Rajendra Singh, Ashley R. Crowther

“…Nonlinear torsional models are used to analyze automotive transmission rattle problems and find solutions to reduce noise, vibration and dynamic loads. …”
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About one problem of optimal control synthesis by Muhametberdy Rakhimov

“…Despite the significant theoretical and practical implications, there is limited research exploring the application of spectral decomposition of non-self-adjoint differential operators to explicitly solve this nonlinear Riccati equation. Therefore, investigating operator Riccati equations holds potential to validate the dynamic programming method and address the synthesis problem…”
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Two-Dimensional Fredholm Integro-Differential Equation with Singular Kernel and Its Numerical Solutions by Abeer M. Al-Bugami

“…In this paper, we introduce the nonlinear Fredholm integro-differential equation of the second kind with singular kernel in two-dimensional NT-DFIDE. …”
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Coupled Coincidence Point Results for (ψ,α,β)-Weak Contractions in Partially Ordered Metric Spaces by A. Razani, V. Parvaneh

“…In this paper coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. …”
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Bounds of Double Integral Dynamic Inequalities in Two Independent Variables on Time Scales by S. H. Saker

“…Our aim in this paper is to establish some explicit bounds of the unknown function in a certain class of nonlinear dynamic inequalities in two independent variables on time scales which are unbounded above. …”
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The Multisoliton Solutions for the (2+1)-Dimensional Sawada-Kotera Equation by Zhenhui Xu, Hanlin Chen, Wei Chen

“…These results show that the high-dimensional nonlinear evolution equation has rich dynamical behavior.…”
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