Results 31 to 40 of about 16,815 (181)
A general framework for solving Riemann-Hilbert problems\ud numerically [PDF]
, 2010 A new, numerical framework for the approximation of solutions to matrix-valued Riemann-Hilbert problems is developed, based on a recent method for the homogeneous Painlev\'e II Riemann- Hilbert problem.
Olver, Sheehan
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A Hilbert Boundary Value Problem for Generalised Cauchy-Riemann Equations [PDF]
, 2017 We elaborate a boundary Fourier method for studying an analogue of the Hilbert problem for analytic functions within the framework of generalised Cauchy-Riemann equations.
Tarkhanov, Nikolai Nikolaevich +1 more
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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
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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
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Journal of Time Series Analysis, EarlyView.ABSTRACT The paper deals with the construction of a synthetic indicator of economic growth, obtained by projecting a quarterly measure of aggregate economic activity, namely gross domestic product (GDP), into the space spanned by a finite number of smooth principal components, representative of the medium‐to‐long‐run component of economic growth of a ...
Alessandro Giovannelli +2 more
wiley +1 more source
The “Good” Boussinesq Equation: a Riemann-Hilbert Approach [PDF]
, 2022 We develop an inverse scattering transform formalism for the “good” Boussinesq equation on the line. Assuming that the solution exists, we show that it can be expressed in terms of the solution of a 3 × 3 matrix Riemann-Hilbert problem.
Charlier, Christophe,, Lenells, Jonatan,
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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
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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
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Fractal and FractionalThe 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 +3 more
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