Results 221 to 230 of about 72,141 (252)

Riemann–Hilbert Problem and Multi-Soliton Solutions of the Integrable Spin-1 Gross–Pitaevskii Equations

Zeitschrift für Naturforschung A, 2018
Under investigation in this article is the integrable spin-1 Gross–Pitaevskii (SGP) equations, which can be used to describe light transmission in bimodal nonlinear optical fibres.
Xiu-Bin Wang, B. Han
semanticscholar   +1 more source

Nonlinear Riemann-Hilbert Problems and Boundary Interpolation

Computational Methods and Function Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Semmler, Gunter, Wegert, Elias
openaire   +1 more source

Rogue wave and multi-pole solutions for the focusing Kundu–Eckhaus Equation with nonzero background via Riemann–Hilbert problem method

Nonlinear dynamics, 2021
N. Guo, Jian Xu, Lili Wen, E. Fan
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On a Class of Quasi-Linear Riemann-Hilbert Problems

Zeitschrift für Analysis und ihre Anwendungen, 1987
The existence of a solution of a class of quasi-linear Riemann-Hilbert problems for a holomorphic function is proved.
Wegert, Elias, von Wolfersdorf, Lothar
openaire   +2 more sources

Asymptotics of oscillatory Riemann–Hilbert problems

Journal of Mathematical Physics, 1996
A classical method of stationary phase for oscillatory integrals is generalized to oscillatory Riemann–Hilbert problems of the kind arising in the theory of integrable nonlinear equations. The proposed approach is developed for the phase with N first-order stationary points, and the final formulas can immediately be applied to the problem of long-time ...
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Riemann–Hilbert problem and N-soliton solutions for the n<

Communications in nonlinear science & numerical simulation, 2023
Xinxin Ma, Junyi Zhu
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On the Riemann-Hilbert problem for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation

Journal of Computational and Applied Mathematics, 2021
Beibei Hu, Ling Zhang, Ningyao Zhang
semanticscholar   +1 more source

Factorizations, Riemann-Hilbert problems and the corona theorem

Journal of the London Mathematical Society, 2012
The solvability of the Riemann–Hilbert boundary value problem on the real line is described in the case when its matrix coefficient admits a Wiener–Hopf-type factorization with bounded outer factors, but rather general diagonal elements of its middle factor.
M. C. Câmara, Cristina Diogo, Yu. I. Karlovich, Ilya M. Spitkovsky   +3 more
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A global Riemann-Hilbert problem for two-dimensional inverse scattering at fixed energy

, 2015
We develop the Riemann-Hilbert problem approach to inverse scattering for the two-dimensional Schrodinger equation at fixed energy. We obtain global or generic versions of the key results of this approach for the case of positive energy and compactly ...
E. Lakshtanov, R. Novikov, B. Vainberg
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Isomonodromy Aspects of the tt* Equations of Cecotti and Vafa II: Riemann–Hilbert Problem

, 2013
In Guest et al. (arXiv:1209.2045) (part I) we computed the Stokes data for the smooth solutions of the tt*-Toda equations whose existence we had previously established by p.d.e. methods.
M. Guest, A. Its, Changshou Lin
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