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Solving the coupled Gerdjikov–Ivanov equation via Riemann–Hilbert approach on the half line [PDF]
Scientific ReportsIn this research, the Fokas method is adopted to examine the coupled Gerdjikov–Ivanov equation within the half line interval $$(-\infty ,0]$$ . Meanwhile, the Riemann–Hilbert technique is engaged to work out the potential function associated with the ...
Jiawei Hu, Huanhe Dong, Ning Zhang
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New gravitational solutions via a Riemann-Hilbert approach
Journal of High Energy Physics, 2018 We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties of the ...
G. L. Cardoso, J. C. Serra
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A Theoretical Solution for Analyzing Bi-Layer Structures with Differing Thermal Properties [PDF]
MicromachinesBased on the Hilbert–Riemann theory, this paper develops a simplified model to address interfacial fracture in bi-layer laminated solar cells with significantly dissimilar thermal properties.
Qianhua Peng +3 more
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Unitarized one-loop graviton-graviton scattering [PDF]
EPJ Web of Conferences, 2022 In this work we interpret the Einstein-Hilbert (EH) Lagrangian of gravitation as the first term of a low-energy effective theory similar to those considered in the chiral Lagrangian approach to low-energy hadron physics or the electroweak chiral ...
Delgado Rafael L. +2 more
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Partial Differential Equations in Applied Mathematics, 2022 In this paper, the main work is to study the N-soliton solutions for the M-component nonlinear Schrödinger equations, the matrix Riemann–Hilbert problem is constructed for this integrable hierarchies by analyzing the block matrix spectral problem of the ...
Jian Li, Tiecheng Xia
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The inverse scattering transform in the form of a Riemann-Hilbert problem for the Dullin-Gottwald-Holm equation [PDF]
Opuscula Mathematica, 2017 The Cauchy problem for the Dullin-Gottwald-Holm (DGH) equation \[u_t-\alpha^2 u_{xxt}+2\omega u_x +3uu_x+\gamma u_{xxx}=\alpha^2 (2u_x u_{xx} + uu_{xxx})\] with zero boundary conditions (as \(|x|\to\infty\)) is treated by the Riemann-Hilbert approach to
Dmitry Shepelsky, Lech Zielinski
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Semi-classical quantisation of magnetic solitons in the anisotropic Heisenberg quantum chain
SciPost Physics, 2021 Using the algebro-geometric approach, we study the structure of semi-classical eigenstates in a weakly-anisotropic quantum Heisenberg spin chain. We outline how classical nonlinear spin waves governed by the anisotropic Landau-Lifshitz equation arise ...
Yuan Miao, Enej Ilievski, Oleksandr Gamayun
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Weyl metrics and Wiener-Hopf factorization
Journal of High Energy Physics, 2020 We consider the Riemann-Hilbert factorization approach to the construction of Weyl metrics in four space-time dimensions. We present, for the first time, a rigorous proof of the remarkable fact that the canonical Wiener-Hopf factorization of a matrix ...
P. Aniceto +3 more
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A coupled complex mKdV equation and its N-soliton solutions via the Riemann–Hilbert approach
Boundary Value Problems, 2023 This paper concerns the initial value problem of a coupled complex mKdV (CCMKDV) equations u t + u x x x + 6 ( | u | 2 + | v | 2 ) u x + 6 u ( | v | 2 ) x = 0 , v t + v x x x + 6 ( | u | 2 + | v | 2 ) v x + 6 v ( | u | 2 ) x = 0 , $$ \begin{aligned} &u_ ...
Siqi Xu
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Applied Sciences, 2022 The characterization of electromagnetic metamaterials (MMs) plays a fundamental role in their engineering processes. To this end, the Nicolson–Ross–Weir (NRW) method is intensively used to recover the effective parameters of MMs, even though this is ...
Giovanni Angiulli, Mario Versaci
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