Results 21 to 30 of about 4,441 (247)

On classical symmetries of ordinary differential equations related to stationary integrable partial differential equations [PDF]

Opuscula Mathematica, 2021
We study the relationship between the solutions of stationary integrable partial and ordinary differential equations and coefficients of the second-order ordinary differential equations invariant with respect to one-parameter Lie group.
Ivan Tsyfra
doaj   +1 more source

Searching for New Integrals in the Euler–Poisson Equations

Axioms
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

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
doaj   +1 more source

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

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, Seadawy Aly R., Younis Muhammad, Rizvi Syed T. R., Althobaiti Saad   +4 more
doaj   +1 more source

Galoisian and qualitative approaches to linear Polyanin-Zaitsev vector fields

Open Mathematics, 2018
In this paper we study a particular parametric family of differential equations, the so-called Linear Polyanin-Zaitsev Vector Field, which has been introduced in a general case in [1] as a correction of a family presented in [2].
Acosta-Humánez Primitivo B., Reyes-Linero Alberto, Rodriguez-Contreras Jorge   +2 more
doaj   +1 more source

Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss

New Journal of Physics, 2020
We develop a Bethe ansatz based approach to study dissipative systems experiencing loss. The method allows us to exactly calculate the spectra of interacting, many-body Liouvillians.
Berislav Buča, Cameron Booker, Marko Medenjak, Dieter Jaksch   +3 more
doaj   +1 more source

Electronic information resources: integration - integration - integration

Serials: The Journal for the Serials Community, 2003
This article describes the ELIN@ service (Electronic Library Information Navigator), a system Lund University Libraries have managed to develop to tackle the problem of integration of electronic information resources, increase the use of these resources and make the administration of the e-resources more efficient.The development of the extended ...
Lotte Jørgensen, Anna Alwerud, Ingegerd Rabow, Salam Baker Shanawa, Lars Bjørnshauge   +4 more
openaire   +1 more source

Communication and Language Profiles of Children Treated for Posterior Fossa Brain Tumors

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background Cognitive and language deficits are frequently reported sequelae of posterior fossa brain tumors (PFBT). Typically, delayed onset impedes prompt assessment and early intervention. This has devastating implications for quality of life.
Zara Sved, Meghan Hesse, Jennie Cusiter, Annabel Webb, Kimberley Docking   +4 more
wiley   +1 more source

Remarks on Multi-Dimensional Conformal Mechanics

Symmetry, Integrability and Geometry: Methods and Applications, 2009
Recently, Galajinsky, Lechtenfeld and Polovnikov proposed an elegant group-theoretical transformation of the generic conformal-invariant mechanics to the free one.
Cestmír Burdík, Armen Nersessian
doaj   +1 more source

Convex integration theory without integration [PDF]

Mathematische Zeitschrift, 2021
We replace the usual Convex Integration formula by a Corrugation Process and introduce the notion of Kuiper differential relations. This notion provides a natural framework for the construction of solutions with self-similarity properties. We consider the case of the totally real relation, we prove that it is Kuiper and we state a totally real ...
openaire   +3 more sources