Results 21 to 30 of about 16,811 (181)
Riemann Invariants and Rank-k Solutions of Hyperbolic Systems
, 2006 In this paper we employ a "direct method" in order to obtain rank-k solutions of any hyperbolic system of first order quasilinear differential equations in many dimensions.
Huard, Benoit, Grundland, A. Michel
core +1 more source
Advanced Nonlinear StudiesResorting to the spectral analysis of the 4 × 4 matrix spectral problem, we construct a 4 × 4 matrix Riemann–Hilbert problem to solve the initial value problem for the Hermitian symmetric space derivative nonlinear Schrödinger equation.
Chen Mingming, Geng Xianguo, Liu Huan
doaj +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
wiley +1 more source
TBA equations and resurgent Quantum Mechanics
Journal of High Energy Physics, 2019 We derive a system of TBA equations governing the exact WKB periods in one-dimensional Quantum Mechanics with arbitrary polynomial potentials. These equations provide a generalization of the ODE/IM correspondence, and they can be regarded as the solution
Katsushi Ito +2 more
doaj +1 more source
On exact solvability of N=4 super Yang-Mills
Nuclear Physics B, 2022 We consider the ambitwistor description of N=4 supersymmetric extension of U(N) Yang-Mills theory on Minkowski space R3,1. It is shown that solutions of super-Yang-Mills equations are encoded in real analytic U(N)-valued functions on a domain in ...
Alexander D. Popov
doaj +1 more source
The relationship between a strip Wiener–Hopf problem and a line Riemann–Hilbert problem
, 2015 In this paper, the Wiener–Hopf factorization problem is presented in a unified framework with the Riemann–Hilbert factorization. This allows to establish the exact relationship between the two types of factorization.
Kisil, Anastasia V.; id_orcid
core +1 more source
Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar +3 more
wiley +1 more source
A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation
Frontiers in Applied Mathematics and StatisticsWe develop a Riemann–Hilbert approach to the modified focusing complex short pulse (mfcSP) equationuxt=u+12u¯(u2)xxwith zero boundary conditions (as |x| → ∞).
Ruslan Barkov +2 more
doaj +1 more source
A Riemann-Hilbert approach to rotating attractors
Journal of High Energy Physics, 2017 We construct rotating extremal black hole and attractor solutions in gravity theories by solving a Riemann-Hilbert problem associated with the Breitenlohner-Maison linear system. By employing a vectorial Riemann-Hilbert factorization method we explicitly
M. C. Câmara +3 more
doaj +1 more source
The Riemann-Hilbert problem and the generalized Neumann kernel
, 2005 This paper presents two new Fredholm integral equations associated to the interior and the exterior Riemann-Hilbert problems in simply connected regions with smooth boundaries. The kernel of these integral equations is the generalized Neumann kernel. The
Nasser, M.M.S. +7 more
core +1 more source