Results 31 to 40 of about 5,858,604 (175)
Matrix Riemann–Hilbert problems with jumps across Carleson contours [PDF]
, 2017 We develop a theory of n x n-matrix Riemann-Hilbert problems for a class of jump contours and jump matrices of low regularity. Our basic assumption is that the contour Gamma is a finite union of simple closed Carleson curves in the Riemann sphere.
Jonatan Lenells, Lenells, Jonatan,
core +1 more source
Riemann–Hilbert problem and matrix biorthogonal polynomials [PDF]
, 2021 Recently the Riemann-Hilbert problem, with jumps supported on appropriate curves in the complex plane, has been presented for matrix biorthogonal polynomials, in particular non-Abelian Hermite matrix biorthogonal polynomials in the real line ...
Amílcar Branquinho +5 more
core +1 more source
The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Nuclear Physics BUsing the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
doaj +1 more source
The Riemann Hilbert problem for generalized Q-holomorphic functions
, 2010 In this work, the classical Riemann Hilbert boundary value problem is extended to generalized Q-holomorphic ...
ÇAĞLIYAN, MEHMET +3 more
core +1 more source
Well-posedness of a Riemann–Hilbert problem on d-regular quasidisks
, 2017 We prove the well-posedness of a Riemann-Hilbert problem on d-regular qua-sidisks, with boundary data in a class of Besov ...
Eric Schippers +5 more
core +2 more sources
The Riemann–Hilbert problem for nonsymmetric systems
, 1991 A comparison of the Riemann-Hilbert problem and the Wiener-Hopf factorization problem arising in the solution of half-space singular integral equations is presented.
Zweifel, Paul F. +5 more
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
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