Results 41 to 50 of about 37,190 (197)

An equivalent single layer shear deformation plate theory with superposed shape functions for laminated composite plates

open access: yesArchives of Mechanics, 2019
A single layer shear deformation plate theory with superposed shape functions for laminated composite plates has been proposed. Some of the previously developed, five degrees of freedom shear deformation theories, including parabolic [1], hyperbolic [2],
M. Aydogdu
doaj   +1 more source

Analytical Solutions of the Fractional Complex Ginzburg-Landau Model Using Generalized Exponential Rational Function Method with Two Different Nonlinearities

open access: yesAdvances in Mathematical Physics, 2023
The complex Ginzburg-Landau model appears in the mathematical description of wave propagation in nonlinear optics. In this paper, the fractional complex Ginzburg-Landau model is investigated using the generalized exponential rational function method. The
Ghazala Akram   +3 more
doaj   +1 more source

Indefinite integrals of products of some exponential and trigonometric functions [PDF]

open access: yes, 1972
Two integrals have been developed which are needed to solve certain problems of mathematical physics related to the Bessel and Euler equations.
Rostafinski, W. A.
core   +1 more source

Discrete Fourier analysis with lattices on planar domains

open access: yes, 2009
A discrete Fourier analysis associated with translation lattices is developed recently by the authors. It permits two lattices, one determining the integral domain and the other determining the family of exponential functions.
Li, Huiyuan, Sun, Jiachang, Xu, Yuan
core   +1 more source

Quasi-polynomials and the Bethe Ansatz [PDF]

open access: yes, 2007
We study solutions of the Bethe Ansatz equation related to the trigonometric Gaudin model associated to a simple Lie algebra g and a tensor product of irreducible finite-dimensional representations.
Mukhin, E, Varchenko, A
core   +4 more sources

The Benjamin–Ono Equation in the Zero‐Dispersion Limit for Rational Initial Data: Generation of Dispersive Shock Waves

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone   +3 more
wiley   +1 more source

Forecasting Count Data With Varying Dispersion: A Latent‐Variable Approach

open access: yesJournal of Forecasting, EarlyView.
ABSTRACT Count data, such as product sales and disease case counts, are common in business forecasting and many areas of science. Although the Poisson distribution is the best known model for such data, its use is severely limited by its assumption that the dispersion is a fixed function of the mean, which rarely holds in real‐world scenarios.
Easton Huch   +3 more
wiley   +1 more source

Implementation and Optimization of Extended Function Library Based on SW26010 Processor [PDF]

open access: yesJisuanji gongcheng, 2017
Intel,AMD and IBM have their vector extension libraries which accord with their own features.Compared with traditional scalar calculation,the speedup of vectorization technology is higher.Therefore,this paper develops a set of vector math library ...
CAO Dai,GUO Shaozhong,ZHANG Xin
doaj   +1 more source

Analytical and Numerical Soliton Solutions of the Shynaray II‐A Equation Using the G′G,1G$$ \left(\frac{G^{\prime }}{G},\frac{1}{G}\right) $$‐Expansion Method and Regularization‐Based Neural Networks

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq   +4 more
wiley   +1 more source

Abundant new computational wave solutions of the GM-DP-CH equation via two modified recent computational schemes

open access: yesJournal of Taibah University for Science, 2020
This work employs two new modified computational schemes to find the exact travelling and solitary wave solutions of the general modified Degasperis-Procesi Camassa-Holm (DP CH) equation that is used to illustrate the dynamical behaviour of shallow water.
Mostafa M. A. Khater   +4 more
doaj   +1 more source

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