Well-posedness of a higher-order Schrödinger–Poisson–Slater system
Boundary Value Problems, 2018 In this paper, we show the global well-posedness of a higher-order nonlinear Schrödinger equation. Specifically, we consider a system of infinitely many coupled higher-order Schrödinger–Poisson–Slater equations with a self-consistent Coulomb potential ...
Saber Trabelsi
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Meromorphic solutions of nonlinear ordinary differential equations [PDF]
, 2010 Exact solutions of some popular nonlinear ordinary differential equations are analyzed taking their Laurent series into account. Using the Laurent series for solutions of nonlinear ordinary differential equations we discuss the nature of many methods for
Aslan +52 more
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On Galilean invariance and nonlinearity in electrodynamics and quantum mechanics [PDF]
, 2000 Recent experimental results on slow light heighten interest in nonlinear Maxwell theories. We obtain Galilei covariant equations for electromagnetism by allowing special nonlinearities in the constitutive equations only, keeping Maxwell's equations ...
Barut +17 more
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The Sine-Cosine Wavelet and Its Application in the Optimal Control of Nonlinear Systems with Constraint [PDF]
Journal of Electrical and Computer Engineering Innovations, 2013 In this paper, an optimal control of quadratic performance index with nonlinear constrained is presented. The sine-cosine wavelet operational matrix of integration and product matrix are introduced and applied to reduce nonlinear differential equations ...
R. Hajmohammadi +2 more
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A Unified Approach to Some Classes of Nonlinear Integral Equations
Journal of Function Spaces, 2014 We are going to discuss some important classes of nonlinear integral equations such as integral equations of Volterra-Chandrasekhar type, quadratic integral equations of fractional orders, nonlinear integral equations of Volterra-Wiener-Hopf type, and ...
Nurgali K. Ashirbayev +2 more
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Applied Sciences, 2022 Explicit solutions to vertical and horizontal displacements are derived for large deformation of a cantilever beam under point load at the free end by an improved homotopy analysis method (IHAM).
Yinshan Li +3 more
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A method for constructing a complete bifurcation picture of a boundary value problem for nonlinear partial differential equations: application of the Kolmogorov-Arnold theorem [PDF]
Известия высших учебных заведений: Прикладная нелинейная динамикаThe purpose of this study is to develop a numerical method for bifurcation analysis of nonlinear partial differential equations, based on the reduction of partial differential equations to ordinary ones, using the Kolmogorov-Arnold theorem.
Gromov, Vasily Alexandrovich +4 more
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Global existence and blow-up for a class of nonlocal nonlinear Cauchy problems arising in elasticity [PDF]
, 2009 We study the initial-value problem for a general class of nonlinear nonlocal wave equations arising in one-dimensional nonlocal elasticity. The model involves a convolution integral operator with a general kernel function whose Fourier transform is ...
Duruk, Nilay +3 more
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MATEC Web of Conferences, 2017 This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
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Thresholds for global existence and blow-up in a general class of doubly dispersive nonlocal wave equations [PDF]
, 2013 In this article we study global existence and blow-up of solutions for a general class of nonlocal nonlinear wave equations with power-type nonlinearities, $u_{tt}-Lu_{xx}=B(- |u|^{p-1}u)_{xx}, ~(p>1)$, where the nonlocality enters through two pseudo ...
Erbay, Husnu A. +2 more
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