Results 41 to 50 of about 1,494 (182)

Soliton solutions and a bi-Hamiltonian structure of the fifth-order nonlocal reverse-spacetime Sasa-Satsuma-type hierarchy via the Riemann-Hilbert approach

AIMS Mathematics
Our objective is to explore the intricacies of a nonlinear nonlocal fifth-order scalar Sasa-Satsuma equation in reverse spacetime which is rooted in a nonlocal 5 × 5 matrix AKNS spectral problem.
Ahmed M. G. Ahmed , Alle Adjiri, Solomon Manukure   +2 more
doaj   +1 more source

The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation [PDF]

Opuscula Mathematica, 2017
The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to
Dmitry Shepelsky, Lech Zielinski
doaj   +1 more source

Error Estimates for the Averaging of the Riemann–Hilbert Problem for a System of n-Beltrami Equations [PDF]

, 2021
Магомед Магомедалиевич Сиражудинов, M.L. Amaeva   +1 more
openalex   +1 more source

Imagined Chinese Speech Decoding Based on Initials and Finals From EEG Activity

IET Signal Processing, Volume 2026, Issue 1, 2026.
Brain‐computer interface (BCI) plays an important role in various fields, such as neuroscience, rehabilitation, and machine learning. The silent BCI, which can reconstruct inner speech from neural activity, holds great promise for aphasia patients. In this paper, we design an imagined Chinese speech experimental paradigm based on initials and finals ...
Jingyu Gu, Jiuchuan Jiang, Qian Cai, Haixian Wang, Chao Zhai   +4 more
wiley   +1 more source

The Hilbert problem in a half-plane for generalized analytic functions with a singular point on the real axis

Учёные записки Казанского университета: Серия Физико-математические науки
This article analyzes the inhomogeneous Hilbert boundary value problem for an upper half-plane with the finite index and boundary condition on the real axis for one generalized Cauchy–Riemann equation with a singular point on the real axis.
P. L. Shabalin, R. R. Faizov
doaj   +1 more source

Dynamically Consistent Analysis of Realized Covariations in Term Structure Models

Mathematical Finance, Volume 36, Issue 1, Page 203-236, January 2026.
ABSTRACT In this article, we show how to analyze the covariation of bond prices nonparametrically and robustly, staying consistent with a general no‐arbitrage setting. This is, in particular, motivated by the problem of identifying the number of statistically relevant factors in the bond market under minimal conditions.
Dennis Schroers
wiley   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

Well-posedness of discontinuous boundary-value problems for nonlinear elliptic complex equations in multiply connected domains

Electronic Journal of Differential Equations, 2013
In the first part of this article, we study a discontinuous Riemann-Hilbert problem for nonlinear uniformly elliptic complex equations of first order in multiply connected domains. First we show its well-posedness. Then we give the representation of
Guo-Chun Wen
doaj  

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley   +1 more source

Exact solutions of a local fractional nonisospectral complex mKdV equation based on Riemann–Hilbert method with time-varying spectrum

Alexandria Engineering Journal
This article combines the Riemann–Hilbert method with fractional power-law time-varying spectrum for the first time to solve a time fractional nonisospectral complex mKdV (tfniscmKdV) equation. Firstly, the tfniscmKdV equation and its associated Lax pair
Bo Xu, Sheng Zhang
doaj   +1 more source