Search results for "ACS"
showing 10 items of 259 documents
From particular polynomials to rational solutions to the mKdV equation
2022
Rational solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of determinants involving certain particular polynomials. This gives a very efficient method to construct solutions. We construct very easily explicit expressions of these rational solutions for the first orders n = 1 until 10.
N order solutions with multi-parameters to the Boussinesq and KP equations and the degenerate rational case
2021
From elementary exponential functions which depend on several parameters, we construct multi-parametric solutions to the Boussinesq equation. When we perform a passage to the limit when one of these parameters goes to 0, we get rational solutions as a quotient of a polynomial of degree N (N + 1) − 2 in x and t, by a polynomial of degree N (N + 1) in x and t for each positive integer N depending on 3N parameters. We restrict ourself to give the explicit expressions of these rational solutions for N = 1 until N = 3 to shortened the paper. We easily deduce the corresponding explicit rational solutions to the Kadomtsev Petviashvili equation for the same orders from 1 to 3.
Multi-parameters rational solutions to the mKdV equation
2021
N-order solutions to the modified Korteweg-de Vries (mKdV) equation are given in terms of a quotient of two wronskians of order N depending on 2N real parameters. When one of these parameters goes to 0, we succeed to get for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N real parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 6.
Solutions to the Gardner equation with multiparameters and the rational case
2022
We construct solutions to the Gardner equation in terms of trigonometric and hyperbolic functions, depending on several real parameters. Using a passage to the limit when one of these parameters goes to 0, we get, for each positive integer N , rational solutions as a quotient of polynomials in x and t depending on 2N parameters. We construct explicit expressions of these rational solutions for orders N = 1 until N = 3. We easily deduce solutions to the mKdV equation in terms of wronskians as well as rational solutions depending on 2N real parameters.
Isomeric state of $^{80}$Y and its role in the astrophysical rp-process
2001
5 pages, 7 figures.-- PACS nrs: 21.10.Tg; 23.20.Nx; 27.50.+e.
Multiple scattering approach for two-electron resonant emission studied by angle-resolved coincidence spectroscopy.
2008
International audience; We have developed a generalization of the multiple-scattering formalism to deal with Auger-photoelectron coincidence spectroscopy APECS in the solid state. We have merged the exact atomic treatment of the angular correlations between the two electrons and the single-particle approach, on which the multiplescattering description of condensed matter relies. This allows the recovering, even in extended systems, of the entangled form of the electron-pair wave function characterizing the coincidence angular diffraction pattern. In the atomic limit our formalism correctly reproduces the cross section, as calculated within the statistical-tensors approach, usually employed …
Casimir-Lifshitz force out of thermal equilibrium between dielectric gratings
2014
We calculate the Casimir-Lifshitz pressure in a system consisting of two different 1D dielectric lamellar gratings having two different temperatures and immersed in an environment having a third temperature. The calculation of the pressure is based on the knowledge of the scattering operators, deduced using the Fourier Modal Method. The behavior of the pressure is characterized in detail as a function of the three temperatures of the system as well as the geometrical parameters of the two gratings. We show that the interplay between non-equilibrium effects and geometrical periodicity offers a rich scenario for the manipulation of the force. In particular, we find regimes where the force can…
Report of the Scientific Committee of the Spanish Agency for Food Safety and Nutrition (AESAN) on the review and update of Dietary Recommendations fo…
2020
*This record is given in both English and Spanish Until now, the established dietary patterns have not demonstrated to achieve the goal of maintaining good health in the general population. In addition to the human health, the current dietary models, called “Sustainable Healthy Diets”, take into account the concept of sustainability in all its aspects. With this goal in mind the World Health Organization (WHO) and the Food and Agriculture Organization of the United Nations (FAO) encourage the development of national food-based dietary recommendations within the specific context of the Sustainable Healthy Diets, taking into account the social, cultural, economic, ecological and environmental…
Report of the Scientific Committee of the Spanish Agency for Food Safety and Nutrition (AESAN) on the presence and safety of plastics as contaminants…
2020
* This record is given in both English and Spanish. The use of plastics is widespread in both industry and domestic life as food packaging material and as a material that comes into contact with food. Therefore, plastics and their environmental impact, especially in the marine environment, arouse great interest and concern. Microplastics have been the focus of most of the studies carried out so far due to their growing presence in the natural environment and their potential to be transferred between trophic levels. It is necessary not only to make an exhaustive assessment of the presence of microplastics in the environment and food, but also of their effects on human’s health. This report a…
Efficacité interne de l'enseignement primaire aux pays de la Communauté Economique des Pays des Grands Lacs (CEPGL) : question approfondie sur le Rwa…
2011
This PhD study has been achieved with objective to carry out the level of internal efficiency of the primary education in the CEPGL countries and the progress reaches toward the education for all after the period of ethnic and armed conflicts. In addition, specifically for Rwanda, to underline the individual, families and school factors explanatory of the repetition and drop-out in the primary schools. The data of our analysis come from different reports of ministries, international organizations and publications of researchers. The analysis of the primary education inside CEPGL countries, by the indicators that document education supply and demand, show that, after the period of conflicts,…