A5101996026- Nonlinear Waves and Solitons
- Nonlinear Photonic Systems
- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Advanced Mathematical Physics Problems
- Algebraic structures and combinatorial models
- Laser-Plasma Interactions and Diagnostics
- Pulsed Power Technology Applications
- Magnetic confinement fusion research
- High voltage insulation and dielectric phenomena
- Electrostatic Discharge in Electronics
- Crystallography and Radiation Phenomena
- Advanced Differential Equations and Dynamical Systems
- Gyrotron and Vacuum Electronics Research
- Molecular spectroscopy and chirality
- Lightning and Electromagnetic Phenomena
- Inorganic Fluorides and Related Compounds
- advanced mathematical theories
- Statistical Mechanics and Entropy
- Particle accelerators and beam dynamics
- Advanced Fiber Laser Technologies
- Plasma Diagnostics and Applications
- Quantum Mechanics and Non-Hermitian Physics
- Laser Design and Applications
- Polynomial and algebraic computation
Universidad de Santiago de Chile
2019-2021
Universidad de Cádiz
2009-2020
Sandia National Laboratories California
2009
Sandia National Laboratories
2002-2005
We have conducted a series of experiments designed to measure the flashover strength various azimuthally symmetric $45\ifmmode^\circ\else\textdegree\fi{}$ vacuum-insulator configurations. The principal objective was identify configuration with greater than that standard design, which consists polymethyl-methacrylate (PMMA) insulator between flat electrodes. thickness $d$ and circumference $C$ insulators tested were held constant at 4.318 95.74 cm, respectively. peak voltage applied ranged...
We have developed a statistical model for the flashover of $45\ifmmode^\circ\else\textdegree\fi{}$ vacuum-insulator interface (such as would be found in an accelerator) subject to pulsed electric field. The assumes that initiation plasma is stochastic process, characteristic component delay time much greater than formative time, and average rate at which flashovers occur power-law function instantaneous value Under these conditions, we find probability given by...
We have conducted dielectric-breakdown tests on water subject to a single unipolar pulse. The peak voltages used for the range from 5.8 6.8 MV; effective pulse widths 0.60 $1.1\text{ }\text{ }\ensuremath{\mu}\mathrm{s}$; and areas tested $1.8\ifmmode\times\else\texttimes\fi{}{10}^{5}$ $3.6\ifmmode\times\else\texttimes\fi{}{10}^{6}\text{ }{\mathrm{cm}}^{2}$. were water-insulated coaxial capacitors. two electrodes of each capacitor outer inner radii 99 56 cm, respectively. Results are...
In this paper we make a full analysis of the symmetry reductions beam equation by using classical Lie method infinitesimals and nonclassical method.We consider travelling wave depending on form an arbitrary function.We have found several new classes solutions that not been considered before: expressed in terms Jacobi elliptic functions, Wadati solitons compactons.Several coherent structures are displayed some solutions: kinks, solitons, two humps compactons.
We have obtained new classes of solutions for the (2+1)-dimensional Schwarzian Korteweg–de Vries equation by considering several types reductions a system equivalent to this equation. The first analysis is done studying nonclassical system. Further are attained means other symmetry or ansatz-based reductions. Most depend on Jacobian elliptic functions and Riemann wave equation, including cnoidal waves solutions. can display coherent structures exhibit overturning intertwining phenomena,...
In this paper new symmetry reductions and exact solutions are found for the one-dimensional quantum drift?diffusion model semiconductors based on Bohm potential. The derived by using nonclassical method developed Bluman Cole. Further obtained means of other types or ansatz-based reductions. particular, several derived: kinks, k-hump compactons elliptic traveling waves. can display coherent structures.
Similarity reductions and new exact solutions are obtained for a nonlinear diffusion equation.These by using the classical symmetry group reducing partial differential equation to various ordinary equations.For equations so obtained, first integrals deduced which consequently give rise explicit solutions.Potential symmetries, realized as local symmetries of related auxiliary system, obtained.For some special nonlinearities derived nonclassical method.
We determine symmetry reductions of a Generalized Dullin-Gottwald-Holm equation. obtain the subclasses these general equations which are quasi self-adjoint and weak self-adjoint.
The aim of this work is to show existence, uniqueness and regularity properties nonlinear fractional Schrödinger equation with time derivative order $α\in (0,1)$ a Hartree-type term.