Results 21 to 30 of about 11,643,850 (92)

A Riemann–Hilbert problem for uncoupled BPS structures [PDF]

open access: yes, 2019
We study the Riemann–Hilbert problem attached to an uncoupled BPS structure proposed by Bridgeland in (“Riemann–Hilbert problems from Donaldson–Thomas theory I”).
Barbieri, A., Anna Barbieri
core   +1 more source

A Riemann–Hilbert approach to the Heun equation [PDF]

open access: yes, 2018
We describe the close connection between the linear system for the sixth Painlevé equation and the general Heun equation, formulate the Riemann–Hilbert problem for the Heun functions and show how, in the case of reducible monodromy, the Riemann–Hilbert ...
Dubrovin, B.   +3 more
core   +1 more source

Dark effects in $$\tilde{f}(R,P)$$ f ~ ( R , P ) gravity

open access: yesEuropean Physical Journal C: Particles and Fields, 2021
In the present paper a new cosmological model is proposed by extending the Einstein–Hilbert Lagrangian with a generic functional $$\tilde{f}(R,P)$$ f ~ ( R , P ) , which depends on the scalar curvature R and a term P which encodes a possible influence ...
Mihai Marciu
doaj   +1 more source

Riemann-Hilbert problem associated with Angelesco systems [PDF]

open access: yes, 2009
Angelesco systems of measures with Jacobi-type weights are considered. For such systems, strong asymptotics for the related multiple orthogonal polynomials are found as well as the Szego-type functions.
Branquinho, A.   +4 more
core   +1 more source

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

open access: yesFrontiers 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   +2 more
doaj   +1 more source

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

open access: yesAlexandria 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

Riemann–Hilbert Problems for Monogenic Functions on Upper Half Ball of R^4 [PDF]

open access: yes, 2017
In this paper we are interested in finding solutions to Riemann– Hilbert boundary value problems, for short Riemann–Hilbert problems, with variable coefficients in the case of axially monogenic functions defined over the upper half unit ball centred at ...
Ku, Min   +7 more
core   +1 more source

Planar Coulomb Gas on a Jordan Arc at Any Temperature

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
ABSTRACT We study a planar Coulomb gas confined to a sufficiently smooth Jordan arc γ$\gamma$ in the complex plane, at inverse temperature β>0$\beta > 0$. Let Z¯nβ(γ)=Znβ(γ)((2cap(γ))βn2/2e(1−β/2)n(H(νe,γ)−H(νe,I)),$$\begin{equation*} \bar{Z}_{n}^\beta (\gamma)=\frac{Z_n^\beta (\gamma)}{((2\text{cap}(\gamma))^{\beta n^2/2}e^{(1-\beta /2)n(H(\nu _{e ...
K. Courteaut, K. Johansson, F. Viklund
wiley   +1 more source

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

open access: yesMathematical 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

Riemann--Hilbert problem approach for two-dimensional flow inverse scattering

open access: yes, 2014
International audienceWe consider inverse scattering for the time-harmonic wave equation with first-order perturbation in two dimensions. This problem arises in particular in the acoustic tomography of moving fluid.
Agaltsov, Alexey, Novikov, Roman
core   +2 more sources

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