Results 1 to 10 of about 518,086 (284)
New Neumann System Associated with a 3 × 3 Matrix Spectral Problem [PDF]
Advances in Mathematical Physics, 2014 The nonlinearization approach of Lax pair is applied to the case of the Neumann constraint associated with a 3 × 3 matrix spectral problem, from which a new Neumann system is deduced and proved to be completely integrable in the Liouville sense.
Fang Li, Liping Lu
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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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Spectral proximal method for solving large scale sparse optimization [PDF]
ITM Web of Conferences, 2021 In this paper, we propose to use spectral proximal method to solve sparse optimization problems. Sparse optimization refers to an optimization problem involving the ι0 -norm in objective or constraints.
Woo Gillian Yi Han +3 more
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Mathematics, 2022 In this work, a novel integrable evolution system in the sense of Lax’s scheme associated with a mixed spectral Ablowitz-Kaup-Newell-Segur (AKNS) matrix problem is first derived.
Sheng Zhang, Jiao Gao, Bo Xu
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IEEE Access, 2021 The resolution related with the image quality of acoustic imaging using a microphone array is limited by the size and density of the array. However, non-synchronous measurements can exceed the constraints defined by measurements with a single fixed array.
Liang Yu +5 more
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Integration of the Matrix Nonlinear Schr¨odinger Equation with a Source
Известия Иркутского государственного университета: Серия "Математика", 2021 This paper is concerned with studying the matrix nonlinear Schr¨odinger equation with a self-consistent source. The source consists of the combination of the eigenfunctions of the corresponding spectral problem for the matrix Zakharov-Shabat system which
G.U. Urazboev +2 more
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Building and solving matrix spectral problems [PDF]
PAMM, 2007 AbstractWhen an infinite dimensional operator T: X → X is approximated with (a slight perturbation of) an operator Tn : X → X of finite rank less than or equal to n, the spectral elements of an auxiliary matrix Z ∈ ℂn ×n , lead to those of Tn, if they are computed exactly.
Mario Ahues, Alain Largillier
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Mathematics, 2022 Reduced nonlocal matrix integrable modified Korteweg–de Vries (mKdV) hierarchies are presented via taking two transpose-type group reductions in the matrix Ablowitz–Kaup–Newell–Segur (AKNS) spectral problems.
Wen-Xiu Ma
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Spectral Curves, Variational Problems and the Hermitian Matrix Model with External Source [PDF]
Communications in Mathematical Physics, 2021 We consider the hermitian random matrix model with external source and general polynomial potential, when the source has two distinct eigenvalues but is otherwise arbitrary. All such models studied so far have a common feature: an associated cubic equation (spectral curve), one of whose solutions can be expressed in terms of the Cauchy transform of the
Andrei Martínez-Finkelshtein +1 more
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Spectral-Based SPD Matrix Representation for Signal Detection Using a Deep Neutral Network
Entropy, 2020 The symmetric positive definite (SPD) matrix has attracted much attention in classification problems because of its remarkable performance, which is due to the underlying structure of the Riemannian manifold with non-negative curvature as well as the use
Jiangyi Wang, Xiaoqiang Hua, Xinwu Zeng
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