Results 41 to 50 of about 45,379 (233)

A Riemann–Hilbert approach to solution of the modified focusing complex short pulse equation

Frontiers in Applied Mathematics and Statistics
We 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, Dmitry Shepelsky, Dmitry Shepelsky   +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, G. L. Cardoso, T. Mohaupt, S. Nampuri   +3 more
doaj   +1 more source

Kubo-Martin-Schwinger relation for an interacting mobile impurity

Physical Review Research, 2023
In this work we study the Kubo-Martin-Schwinger (KMS) relation in the Yang-Gaudin model of an interacting mobile impurity. We use the integrability of the model to compute the dynamic injection and ejection Green's functions at finite temperatures.
Oleksandr Gamayun, Miłosz Panfil, Felipe Taha Sant'Ana   +2 more
doaj   +1 more source

Asymptotics of Polynomials Orthogonal with respect to a Logarithmic Weight

, 2018
In this paper we compute the asymptotic behavior of the recurrence coefficients for polynomials orthogonal with respect to a logarithmic weight $w(x){\rm d}x = \log \frac{2k}{1-x}{\rm d}x$ on $(-1,1)$, $k > 1$, and verify a conjecture of A. Magnus ...
Conway, Thomas Oliver, Deift, Percy
core   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

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, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source

The Soliton Solutions for Nonlocal Multi-Component Higher-Order Gerdjikov–Ivanov Equation via Riemann–Hilbert Problem

Fractal and Fractional
The Lax pairs of the higher-order Gerdjikov–Ivanov (HOGI) equation are extended to the multi-component formula. Then, we first derive four different types of nonlocal group reductions to this new system.
Jinshan Liu, Huanhe Dong, Yong Fang, Yong Zhang   +3 more
doaj   +1 more source

Matrix Jacobi biorthogonal polynomials via Riemann–Hilbert problem

Proceedings of the American Mathematical Society, 2023
We consider matrix orthogonal polynomials related to Jacobi type matrices of weights that can be defined in terms of a given matrix Pearson equation. Stating a Riemann–Hilbert problem we can derive first and second order differential-difference relations that these matrix orthogonal polynomials and the second kind functions associated to them verify ...
Branquinho, Amílcar, Foulquié-Moreno, Ana, Fradi, Assil, Mañas, Manuel   +3 more
openaire   +3 more sources

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

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, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

Weyl metrics and Wiener-Hopf factorization

Journal of High Energy Physics, 2020
We consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics in four space-time dimensions. We present, for the first time, a rigorous proof of the remarkable fact that the canonical Wiener-Hopf factorization of a matrix ...
P. Aniceto, M.C. Câmara, G.L. Cardoso, M. Rosselló   +3 more
doaj   +1 more source

A Riemann-Hilbert Problem for an Energy Dependent Schr\"odinger Operator

, 1997
\We consider an inverse scattering problem for Schr\"odinger operators with energy dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a Riemann surface.
Beals R, Beals R, Beals R, David H Sattinger, Deift P, Drazin P G, Fordy A P, Jacek Szmigielski, Jaulent M, Jaulent M, Jaulent M, Kaup D, Matveev V B, Novikov S P, Sachs R, Sachs R, Sattinger D H, Zakharov V E   +17 more
core   +1 more source