Results 31 to 40 of about 133,722 (289)

On the Integrability, B\"Acklund Transformation and Symmetry Aspects of a Generalized Fisher Type Nonlinear Reaction-Diffusion Equation [PDF]

, 2004
The dynamics of nonlinear reaction-diffusion systems is dominated by the onset of patterns and Fisher equation is considered to be a prototype of such diffusive equations.
Bluman G. W., Brazhnik P. K., Fokas A. S., M. LAKSHMANAN, M. SENTHILVELAN, Mathews P. M., Murphy G. M., Nucci M. C., P. S. BINDU, Qu C. Z., Qu C. Z., Scott A. C., Showalter K., Walgraef D., Whitham G. B.   +14 more
core   +3 more sources

Progresses on Some Open Problems Related to Infinitely Many Symmetries

Mathematics
The quest to reveal the physical essence of the infinitely many symmetries and/or conservation laws that are intrinsic to integrable systems has historically posed a significant challenge at the confluence of physics and mathematics.
Senyue Lou
doaj   +1 more source

New reductions of integrable matrix PDEs: $Sp(m)$-invariant systems

, 2011
We propose a new type of reduction for integrable systems of coupled matrix PDEs; this reduction equates one matrix variable with the transposition of another multiplied by an antisymmetric constant matrix.
Manakov S. V., Manakov S. V., Satake I., Serre D., Takayuki Tsuchida, Tsuchida T.   +5 more
core   +1 more source

Out of Equilibrium Solutions in the $XY$-Hamiltonian Mean Field model [PDF]

, 2009
Out of equilibrium magnetised solutions of the $XY$-Hamiltonian Mean Field ($XY$-HMF) model are build using an ensemble of integrable uncoupled pendula. Using these solutions we display an out-of equilibrium phase transition using a specific reduced set ...
Bonifacio R., Chavanis P. H., D. Fanelli, Elskens Y., Lynden-Bell D., T. L. Van Den Berg, Van den Berg T. L., X. Leoncini, Zaslavsky G. M.   +8 more
core   +5 more sources

Symmetries and integrable systems

Fundamental Research
Symmetry plays key roles in modern physics especially in the study of integrable systems because of the existence of infinitely many local and nonlocal generalized symmetries.
Sen-Yue Lou, Bao-Feng Feng
doaj   +1 more source

An integrable semi-discretization of the Camassa-Holm equation and its determinant solution

, 2008
An integrable semi-discretization of the Camassa-Holm equation is presented. The keys of its construction are bilinear forms and determinant structure of solutions of the CH equation.
Ablowitz M J, Ablowitz M J, Bao-Feng Feng, Dai H H, Ferreira M C, Grammaticos B, Holden H, Hone A N W, Iwasaki M, Ken-ichi Maruno, Kraenkel R A, Levi D, Yasuhiro Ohta   +12 more
core   +1 more source

Signatures of chaos and non-integrability in two-dimensional gravity with dynamical boundary

EPJ Web of Conferences, 2016
We propose a model of two-dimensional dilaton gravity with a boundary. In the bulk our model coincides with the classically integrable CGHS model; the dynamical boundary cuts of the CGHS strong-coupling region.
Fitkevich Maxim
doaj   +1 more source

Generalization of a result of Matsuo and Cherednik to the Calogero-Sutherland- Moser integrable models with exchange terms

, 1995
A few years ago, Matsuo and Cherednik proved that from some solutions of the Knizhnik-Zamolodchikov (KZ) equations, which first appeared in conformal field theory, one can obtain wave functions for the Calogero integrable system.
A. Matsuo, A. P. Polychronakos, B. Sutherland, C. F. Dunkl, C. N. Yang, Christiane Quesne, D. Bernard, D. E. Rutherford, E. H. Lieb, F. Calogero, F. Calogero, F. Calogero, F. Calogero, G. Felder, J. Moser, L. Brink, L. Brink, M. A. Olshanetsky, V. G. Knizhnik   +18 more
core   +2 more sources

eHealth Solutions for the Integrated Healthcare [PDF]

Journal of Healthcare Engineering, 2018
Information and communication technologies (ICT) bring a whole new dimension into the healthcare arena by introducing electronic media that open the door to the use of new methodologies. Today, ICT support electronic gathering, storage, processing, and exchange of information to treat disease, prevent illness, promote healthy lifestyle, manage patients
Giedrius Vanagas, Rolf Engelbrecht, Robertas Damaševičius, Reima Suomi, Agusti Solanas   +4 more
openaire   +3 more sources

Dexamethasone for Chemotherapy‐Induced Nausea and Vomiting Prevention in Pediatric Patients: International Consensus

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Background An international Delphi panel of experts developed consensus statements to delineate the circumstances where the risks of dexamethasone as an antiemetic do and do not outweigh its benefits. Procedure Experts in supportive care of pediatric patients were invited to participate.
Negar Shavandi, Paula D. Robinson, Shana Jacobs, L. Lee Dupuis, the International Pediatric Dexamethasone Panel, Sameer Bakhshi, Tiene Bauters, Eva Brack, Simone Cesaro, Claire Fosbrook, Jason Freedman, Tamara MacDonald, Eloise Neumann, Venkatraman Radhakrishnan, Rod Rassekh, Florian Slimano, Johnathan Soggee, Joel Thompson, Marianne van de Wetering, Milena Villarroel, Jasper Wong   +20 more
wiley   +1 more source