Results 1 to 10 of about 26,863 (194)

The generalized riemann-hilbert boundary value problem for nonlinear and nonhomogeneous complex polyharmonic equation in the sobolev spaceW_n,p(D)

, 2000
Ali Seif Mshimba
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Riemann-Hilbert Boundary Value Problem for Generalized Hyperbolic Regular Functions in the General Bicylinder

, 2006
Yang Pi-wen
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Hierarchical structure and N-soliton solutions of the generalized Gerdjikov–Ivanov equation via Riemann–Hilbert problem

Nonlinear Dynamics
Wanguang Zheng, Yaqing Liu
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Generalized Riemann-Hilbert Problem for Generalized Analytic Function

, 2009
Wang Kai-min
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Generalized Orthogonal Polynomials, Discrete KP and Riemann-Hilbert Problems [PDF]

Communications in Mathematical Physics, 1999
Classically, a single weight on an interval of the real line leads to moments, orthogonal polynomials and tridiagonal matrices. Appropriately deforming this weight with times t=(t_1,t_2,...), leads to the standard Toda lattice and tau-functions ...
Mark Adler, Pierre van Moerbeke
core   +6 more sources

Some addition to the generalized Riemann-Hilbert problem [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2010
We give some additions to the article "On the generalized Riemann-Hilbert problem with irregular singularities" by Bolibruch, Malek, Mitschi (math/0410483).
Renat Gontsov, Il'ya Vladimirovich Vyugin   +1 more
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Analytical Method for Generalized Nonlinear Schrödinger Equation with Time-Varying Coefficients: Lax Representation, Riemann-Hilbert Problem Solutions [PDF]

Mathematics, 2022
In this paper, a generalized nonlinear Schrödinger (gNLS) equation with time-varying coefficients is analytically studied using its Lax representation and the associated Riemann-Hilbert (RH) problem equipped with a symmetric scattering matrix in the ...
Bo Xu, Sheng Zhang
doaj   +3 more sources

Nonlinear Riemann-Hilbert Problems for Generalized Analytic Functions [PDF]

Functiones et Approximatio Commentarii Mathematici, 2009
In this study we deal with the nonlinear Riemann--Hilbert problem (in short (RHP)) for generalized analytic functions in multiply connected domains. Using a similarity principle for multiply connected domains (presented here for the first time), we reduce the nonlinear RHP for generalized analytic functions to a corresponding nonlinear RHP for ...
Messoud Efendiev, Wolfgang L. Wendland
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Generalized Riemann-Hilbert Transmission and Boundary Value Problems, Fredholm Pairs and Bordisms [PDF]

, 2001
AMS-tex, 16 pages, 1 figure. to appear in Bull. Polish Acad.
Bogdan Bojarski, Andrzej Weber
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Inverse Scattering Transform for the Generalized Derivative Nonlinear Schrödinger Equation via Matrix Riemann–Hilbert Problem [PDF]

Mathematical Problems in Engineering, 2022
The inverse scattering transformation for a generalized derivative nonlinear Schrödinger (GDNLS) equation is studied via the Riemann–Hilbert approach. In the direct scattering process, we perform the spectral analysis of the Lax pair associated with a 2 × 2
Fang Fang, Beibei Hu, Ling Zhang
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