Results 1 to 10 of about 72,758 (294)
On the Formal Integrability Problem for Planar Differential Systems [PDF]
Abstract and Applied Analysis, 2013 We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of
Antonio Algaba +2 more
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Integrable Kondo problems [PDF]
Journal of High Energy Physics, 2021 AbstractWe discuss the integrability and wall-crossing properties of Kondo problems, where an 1d impurity is coupled to a 2d chiral CFT and triggers a defect RG flow. We review several new and old examples inspired by constructions in four-dimensional Chern-Simons theory and by affine Gaudin models.
Gaiotto, D, Lee, JH, Wu, J
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Electronic Journal of Qualitative Theory of Differential Equations, 2021 During the last forty years the theory of integrability of Darboux, in terms of algebraic invariant curves of polynomial systems has been very much extended and it is now an active area of research.
Regilene Oliveira +3 more
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The Meyers Estimates for Domains Perforated along the Boundary
Mathematics, 2021 In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
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Complete solution to Gaussian tensor model and its integrable properties
Physics Letters B, 2020 Similarly to the complex matrix model, the rainbow tensor models are superintegrable in the sense that arbitrary Gaussian correlators are explicitly expressed through the Clebsh-Gordan coefficients.
H. Itoyama, A. Mironov, A. Morozov
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Comptes Rendus. Mécanique, 2021 In this paper we obtain an estimate for the increased integrability of the gradient of the solution to the Zaremba problem for divergent elliptic operator in a bounded domain with nontrivial capacity of the Dirichlet boundary conditions.
Alkhutov, Yurij A., Chechkin, Gregory A.
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Nuclear Physics B, 2023 The nonlinear Schrödinger (NLS) types of equations play a key role in quantum mechanics, Quantum communication and physical applications. However, how to deal with explicit solutions and other properties of the NLS equations, especially for the variable ...
Hanze Liu
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Bifurcations of Liouville tori of coupled sextic anharmonic oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2023 In the current paper, the problem of sextic anharmonic oscillators is investigated. There are three integrable cases of this problem. Emphasis is placed on two integrable cases, and a full description of each one is provided.
Fawzy M El-Sabaa +3 more
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Integrability and non integrability of some n body problems [PDF]
, 2015 We prove the non integrability of the colinear $3$ and $4$ body problem, for any masses positive masses. To deal with resistant cases, we present strong integrability criterions for $3$ dimensional homogeneous potentials of degree $-1$, and prove that ...
Combot, Thierry
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Nonlocal PT-symmetric integrable equations and related Riemann–Hilbert problems
Partial Differential Equations in Applied Mathematics, 2021 We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems.
Wen-Xiu Ma
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