Results 11 to 20 of about 1,055,018 (270)
Communications in Analysis and Mechanics, 2022 In the framework of the self-consistent Maxwell-Pauli theory, the non-linear Pauli equation is obtained. Stationary and nonstationary solutions of the nonlinear Pauli equation for the hydrogen atom are studied. We show that spontaneous emission and the related rearrangement of the internal structure of an atom, which is traditionally called a ...
openaire +2 more sources
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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Integrable systems and modular forms of level 2 [PDF]
, 2006 A set of nonlinear differential equations associated with the Eisenstein series of the congruent subgroup $\Gamma_0(2)$ of the modular group $SL_2(\mathbb{Z})$ is constructed. These nonlinear equations are analogues of the well known Ramanujan equations,
Ablowitz, Mark J +2 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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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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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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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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SIAC Filtering for Nonlinear Hyperbolic Equations [PDF]
, 2015 We present the results of the symmetric and one-sided Smoothness-Increasing Accuracy-Conserving (SIAC) filter applied to a discontinuous Galerkin (DG) approximation for two examples of nonlinear hyperbolic conservation laws.
Li, Xiaozhou, Ryan, Jennifer
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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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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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