Results 21 to 30 of about 1,065,720 (348)
A note on the qualitative analysis of Volterra integro-differential equations
Journal of Taibah University for Science, 2019 The aim of paper is to analyse some qualitative properties of solutions of nonlinear Volterra integro-differential equations (VIDDEs) with constant delay and Volterra integro-differential equations (VIDEs) without delay by means of the Razumikhin method.
Cemil Tunç, Osman Tunç
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Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures
Mathematics, 2021 In this paper, we study the extended Hamilton–Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group G on a manifold M and a G-invariant vector field X on M, we construct complete solutions of the Hamilton ...
Sergio Grillo +2 more
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Energy transport in chiral clock model
New Journal of Physics, 2022 We characterize the energy transport in a one dimensional ${\mathbb{Z}}_{3}$ chiral clock model. The model generalizes the ${\mathbb{Z}}_{2}$ symmetric Transverse Field Ising Model (TFIM).
Naveen Nishad, G J Sreejith
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On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN
Advances in Nonlinear Analysis, 2021 We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei +3 more
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Integrability and level crossing manifolds in a quantum Hamiltonian system [PDF]
, 1998 We consider a two-spin model, represented classically by a nonlinear autonomous Hamiltonian system with two degrees of freedom and a nontrivial integrability condition, and quantum mechanically by a real symmetric Hamiltonian matrix with blocks of ...
E. Magyari +12 more
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Searching for New Integrals in the Euler–Poisson Equations
AxiomsIn the classical problem of the motion of a rigid body around a fixed point, which is described by the Euler–Poisson equations, we propose a new method for computing cases of integrability: first, we provide algorithms for computing values of parameters ...
Alexander D. Bruno, Alexander B. Batkhin
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Nearly circular domains which are integrable close to the boundary are ellipses
, 2018 The Birkhoff conjecture says that the boundary of a strictly convex integrable billiard table is necessarily an ellipse. In this article, we consider a stronger notion of integrability, namely integrability close to the boundary, and prove a local ...
Huang, Guan +2 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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Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A list of forty third-order exactly integrable two-field evolutionary systems is presented. Differential substitutions connecting various systems from the list are found. It is proved that all the systems can be obtained from only two of them.
Maxim Ju. Balakhnev, Anatoly G. Meshkov
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Open Physics, 2021 The shallow water wave model is one of the completely integrable models illustrating many physical problems. In this article, we investigate new exact wave structures to Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and the Benney–Luke equations which ...
Younas Usman +4 more
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