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   Articles with "hilbert problem" as a keyword



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The N‐coupled higher‐order nonlinear Schrödinger equation: Riemann‐Hilbert problem and multi‐soliton solutions

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recommendations! Published in 2019 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.6055

Abstract: In this work, the Riemann‐Hilbert (RH) problem of the N‐coupled high‐order nonlinear Schrödinger (N‐CHNLS) equations is studied carefully, which controls the propagation of N fields with all high‐order effects such as high‐order dispersion, self‐steepening effect,… read more here.

Keywords: hilbert problem; order; order nonlinear; problem ... See more keywords
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Waring-Hilbert problem on Cantor sets

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recommendations! Published in 2021 at "Expositiones Mathematicae"

DOI: 10.1016/j.exmath.2021.03.004

Abstract: Abstract Analogs of Waring-Hilbert problem on Cantor sets are explored. The focus of this paper is on the Cantor ternary set C . It is shown that, for each m ≥ 3 , every real… read more here.

Keywords: problem cantor; cantor; waring hilbert; hilbert problem ... See more keywords
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Riemann–Hilbert problem for the Cauchy–Riemann operator in lens and lune

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recommendations! Published in 2017 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2016.1244189

Abstract: Abstract This article is devoted to study the solvability of the Riemann–Hilbert problem, with arbitrary index, for the Cauchy–Riemann operator in a lens and two complementary lunes. We generalize the corresponding results obtained by Begehr… read more here.

Keywords: riemann hilbert; cauchy riemann; hilbert problem; operator lens ... See more keywords
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Riemann–Hilbert problem on a torus and a vortex patch in a wedge

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recommendations! Published in 2021 at "Complex Variables and Elliptic Equations"

DOI: 10.1080/17476933.2021.1954624

Abstract: An exact formula for the conformal map from the exterior of two slits onto the doubly connected flow domain is obtained when a fluid flows in a wedge about a vortex. The map is employed… read more here.

Keywords: riemann hilbert; patch wedge; problem torus; vortex patch ... See more keywords
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Asymptotics of the Riemann–Hilbert Problem for a Magnetic Reconnection Model in Plasma

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recommendations! Published in 2020 at "Computational Mathematics and Mathematical Physics"

DOI: 10.1134/s0965542520110056

Abstract: For the Riemann–Hilbert problem in a singularly deformed domain, an asymptotic expansion is found that corresponds to the limit transition from Somov’s magnetic reconnection model to Syrovatskii’s one as the relative shock front length $$\varrho… read more here.

Keywords: riemann hilbert; reconnection model; hilbert problem; magnetic reconnection ... See more keywords
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Riemann–Hilbert problem for the generalized modified Korteweg–de Vries equation with N distinct arbitrary-order poles

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recommendations! Published in 2021 at "Modern Physics Letters B"

DOI: 10.1142/s021798492150233x

Abstract: In this work, the generalized modified Korteweg–de Vries (gmKdV) equation is constructed by the first time and is solved by the Riemann–Hilbert method with the zero boundary condition. In the direct scattering transform, the analytical… read more here.

Keywords: riemann hilbert; generalized modified; hilbert problem; modified korteweg ... See more keywords