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We study null 1/4 BPS deformations of flat domain wall solutions (NDDW) in N=2, d=5 gauged supergravity with hypermultiplets and vector multiplets coupled. These are uncharged time-dependent configurations and contain as special case, 1/2…

High Energy Physics - Theory · Physics 2010-10-27 Alessio Celi

In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for small solutions in the weighted Sobolev class. Imposing the Lorenz gauge condition,…

Analysis of PDEs · Mathematics 2022-08-26 Yonggeun Cho , Soonsik Kwon , Kiyeon Lee , Changhun Yang

In order to avoid the electron oscillation of the cathode and enhance the work efficiency of a vacuum diode, an approach for analyzing the solutions and complex bifurcation has been proposed and used to determine the optimal trajectory of…

Analysis of PDEs · Mathematics 2025-11-05 Denis Sidorov , Alexander Sinitsyn , Omar Toledo Leguizamón , Liguo Wang

We present a new approach to the construction of the Darboux matrix. This is a generalization of the recently formulated method based on the assumption that the square of the Darboux matrix vanishes for some values of the spectral…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 J. L. Cieslinski , W. Biernacki

In this paper we discuss a new approach to the quasinormal-mode problem in general relativity. By combining a characteristic formulation of the perturbation equations with the integration of a suitable phase-function for a complex valued…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Lars Samuelsson , Nils Andersson , Asimina Maniopoulou

The propagation of Dyakonov surface waves (DSWs) at the planar interface between an isotropic material and a linear electro-optic birefringent material can be dynamically controlled using the Pockels effect. The range of directions for DSW…

Optics · Physics 2008-05-01 S. R. Nelatury , J. A. Polo , A. Lakhtakia

This paper is concerned with the strong solution to the Cauchy-Dirichlet problem for backward stochastic partial differential equations of parabolic type. Existence and uniqueness theorems are obtained, due to an application of the…

Probability · Mathematics 2010-06-14 Kai Du , Shanjian Tang

This article is devoted to forward and inverse problems associated with time-independent semilinear nonlocal wave equations. We first establish comprehensive well-posedness results for some semilinear nonlocal wave equations. The main…

Analysis of PDEs · Mathematics 2024-02-09 Yi-Hsuan Lin , Teemu Tyni , Philipp Zimmermann

In this work, we establish some abstract results on the perspective of the fractional Musielak-Sobolev spaces, such as: uniform convexity, Radon-Riesz property with respect to the modular function, $(S_{+})$-property, Brezis-Lieb type Lemma…

Analysis of PDEs · Mathematics 2023-01-12 J. C. de Albuquerque , L. R. S. de Assis , M. L. M. Carvalho , A. Salort

We present solutions of the Dirac equation with spin symmetry for vector and scalar modified P\"oschl-Teller potential within framework of an approximation of the centrifugal term. The relativistic energy spectrum is obtained using the…

Mathematical Physics · Physics 2015-05-20 D. Agboola

This paper delves into the study of multi-component derivative nonlinear Schrodinger (n-DNLS) equations featuring nonzero boundary conditions. Employing the Darboux transformation (DT) method, we derive higher-order vector rogue wave…

Exactly Solvable and Integrable Systems · Physics 2023-12-20 Lin Huian , Ling Liming

Approximate bound state solutions of the Dirac equation with -deformed Woods-Saxon plus a new generalized ring-shaped potential are obtained for any arbitrary L-state. The energy eigenvalue equation and corresponding two-component wave…

Nuclear Theory · Physics 2013-08-02 Sameer M. Ikhdair , Majid Hamzavi

The plane wave solutions of the three-wave resonant interaction in the plane are considered. It is shown that rank-one constraints over the right derivatives of invertible operators on an arbitrary linear space gives solutions of the…

solv-int · Physics 2008-02-03 F. Guil , M. Mañas

For Lax-pair isospectral deformations whose associated spectrum, for given initial data, consists of the disjoint union of a finitely denumerable discrete spectrum (solitons) and a continuous spectrum (continuum), the matrix Riemann-Hilbert…

Exactly Solvable and Integrable Systems · Physics 2016-09-08 A. H. Vartanian

An elegant and convenient rigorous approach for solving circular open-ended dielectric-loaded waveguide diffraction problems is presented. It uses the solution of corresponding Wiener-Hopf-Fock equation and leads to an infinite linear…

Accelerator Physics · Physics 2021-04-27 Sergey N. Galyamin , Viktor V. Vorobev , Andrey V. Tyukhtin

In this work, we provide an estimate of the Morse index of radially symmetric sign changing bounded weak solutions $u$ to the semilinear fractional Dirichlet problem $$ (-\Delta)^su = f(u)\qquad \text{ in $\mathcal{B}$},\qquad \qquad u =…

Analysis of PDEs · Mathematics 2021-03-25 Mouhamed Moustapha Fall , Pierre Aime Feulefack , Remi Yvant Temgoua , Tobias Weth

We study supersymmetry of a self-isospectral one-gap Poschl-Teller system in the light of a mirror symmetry that is based on spatial and shift reflections. The revealed exotic, partially broken nonlinear supersymmetry admits seven…

High Energy Physics - Theory · Physics 2014-11-21 Mikhail S. Plyushchay , Luis-Miguel Nieto

Conformal transformation optics provides a simple scheme for manipulating light rays with inhomogeneous isotropic dielectrics. However, there is usually discontinuity for refractive index profile at branch cuts of different virtual Riemann…

Optics · Physics 2018-02-08 Lin Xu , Tomáš Tyc , Huanyang Chen

We develop a unified and easy to use framework to study robust fully discrete numerical methods for nonlinear degenerate diffusion equations $$ \partial_t u-\mathfrak{L}^{\sigma,\mu}[\varphi(u)]=f \quad\quad\text{in}\quad\quad…

Numerical Analysis · Mathematics 2019-06-20 Félix del Teso , Jørgen Endal , Espen R. Jakobsen

We present a new technique for the design of transformation-optics devices based on large-scale optimization to achieve the optimal effective isotropic dielectric materials within prescribed index bounds, which is computationally cheap…

Optics · Physics 2013-06-11 David Liu , Lucas H. Gabrielli , Michal Lipson , Steven G. Johnson