Results 21 to 30 of about 26,470 (301)

Extended Hamilton–Jacobi Theory, Symmetries and Integrability by Quadratures

open access: yesMathematics, 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
doaj   +1 more source

Energy transport in chiral clock model

open access: yesNew 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
doaj   +1 more source

Perfect Integrability and Gaudin Models

open access: yes, 2020
We suggest the notion of perfect integrability for quantum spin chains and conjecture that quantum spin chains are perfectly integrable. We show the perfect integrability for Gaudin models associated with simple Lie algebras of all finite types, with ...
Lu, Kang
core   +1 more source

On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN

open access: yesAdvances 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
doaj   +1 more source

Integrity [PDF]

open access: yesJournal of Investigative Surgery, 2006
Integrity is the dedicated commitment to an accepted conduct and form of living ... is the honest response to professional attitudes and values.
openaire   +2 more sources

On the non-integrability of the Popowicz peakon system [PDF]

open access: yes, 2009
We consider a coupled system of Hamiltonian partial differential equations introduced by Popowicz, which has the appearance of a two-field coupling between the Camassa-Holm and Degasperis-Procesi equations.
Irle, Michael V., Hone, Andrew N.W.
core   +1 more source

Searching for New Integrals in the Euler–Poisson Equations

open access: yesAxioms
In 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
doaj   +1 more source

TO INTEGRATE OR NOT TO INTEGRATE [PDF]

open access: yesBMJ Supportive & Palliative Care, 2014
The Development of an Integrated Community Advance Care Planning Service across neighbouring Boroughs and its impact on the uptake of End of Life Care Tools.BackgroundThe first Advance Care Facilitator was introduced in Knowsley in December 2008; the overall purpose of the post was to make quality improvements in the provision of End of Life Care by ...
Janet Cummins   +2 more
openaire   +1 more source

Two-Field Integrable Evolutionary Systems of the Third Order and Their Differential Substitutions

open access: yesSymmetry, 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
doaj   +1 more source

Diverse wave propagation in shallow water waves with the Kadomtsev–Petviashvili–Benjamin–Bona–Mahony and Benney–Luke integrable models

open access: yesOpen 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
doaj   +1 more source

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