Results 111 to 120 of about 8,648 (287)

Integrable sigma-models and Drinfeld–Sokolov hierarchies [PDF]

Nuclear Physics B, 2001
25 pages ...
openaire   +3 more sources

Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende, Emilien Petit, Young Woo Park, Sophie Tezenas du Montcel, James M. Joers, Jonathan M. DuBois, H. Moore Arnold, Michal Povazan, Ipek Özdemir, Guita Banan, Romain Valabregue, Philipp Ehses, Jennifer Faber, Chiadi U. Onyike, Peter B. Barker, Jeremy D. Schmahmann, Eva‐Maria Ratai, Sub H. Subramony, Thomas H. Mareci, Khalaf O. Bushara, Henry Paulson, Thomas Klockgether, Alexandra Durr, Tetsuo Ashizawa, Christophe Lenglet, Gülin Öz, READISCA Investigators   +26 more
wiley   +1 more source

Nonlinear Bi-Integrable Couplings of Multicomponent Guo Hierarchy with Self-Consistent Sources

Advances in Mathematical Physics, 2012
Based on a well-known Lie algebra, the multicomponent Guo hierarchy with self-consistent sources is proposed. With the help of a set of non-semisimple Lie algebra, the nonlinear bi-integrable couplings of the multicomponent Guo hierarchy with self ...
Hongwei Yang, Huanhe Dong, Baoshu Yin, Zhenyu Liu   +3 more
doaj   +1 more source

The D-Boussinesq equation: Hamiltonian and symplectic structures; Noether and inverse Noether operators [PDF]

, 2005
Using new methods of analysis of integrable systems,based on a general geometric approach to nonlinear PDE,we discuss the Dispersionless Boussinesq Equation, which is equivalent to the Benney-Lax equation,being a system of equations of hydrodynamical ...
Kersten, P.H.M., Krasil'shchik, I., Verbovetsky, A., Verbovetsky, A.V.   +3 more
core   +1 more source

Integrable fractional Burgers hierarchy

Journal of Nonlinear Waves
Abstract Linear and integrable non-linear fractional evolution equations are discussed. Earlier results for the integrable fractional Korteweg–deVries (KdV) equation and the KdV hierarchy are reviewed. Using these as a guide, the fractional integrable Burgers equation and hierarchy and its solutions are analysed. Some explicit solutions are provided.
Mark Ablowitz, Sean Nixon
openaire   +1 more source

INTEGRABLE HIERARCHIES AND THE WDVV-EQUATIONS [PDF]

Quantum Theory and Symmetries, 2002
In this paper an overview is given of connections between the Witten-Dijkgraaf-Verlinde-Verlinde equations and its generalization and various integrable systems. In particular its link with the $n$-component $KP$-hierarchy is treated in a fairly detailed way.
openaire   +2 more sources

Neighborhood Socioeconomic Status and Short‐Term Functional Outcomes in Systemic Lupus Erythematosus

Arthritis Care &Research, Accepted Article.
Objective Individuals with SLE can accumulate functional status (FS) impairment. We evaluated the association between neighborhood socioeconomic disadvantage, as measured by the area deprivation index (ADI), and FS in a national SLE sample. Methods Data were derived from RISE, a national electronic health record‐based registry.
Baljeet Rai, Jessica Fitzpatrick, Jing Li, Eric Roberts, Patricia Katz, Laura Plantinga, Gabriela Schmajuk, Jinoos Yazdany   +7 more
wiley   +1 more source

The higher grading structure of the WKI hierarchy and the two-component short pulse equation

, 2012
A higher grading affine algebraic construction of integrable hierarchies, containing the Wadati-Konno-Ichikawa (WKI) hierarchy as a particular case, is proposed.
Franca, G. S., Gomes, J. F., Zimerman, A. H.   +2 more
core   +1 more source

Finite Euler hierarchies and integrable universal equations [PDF]

Czechoslovak Journal of Physics, 1992
Recent work on Euler hierarchies of field theory Lagrangians iteratively constructed {}from their successive equations of motion is briefly reviewed. On the one hand, a certain triality structure is described, relating arbitrary field theories, {\it classical\ts} topological field theories -- whose classical solutions span topological classes of ...
openaire   +2 more sources

Harnessing Fungal Biowelding for Constructing Mycelium‐Engineered Materials

Advanced Engineering Materials, EarlyView.
Mycelium‐bound composites (MBCs) offer low‐carbon alternatives for construction, yet interfacial bonding remains a critical challenge. This review examines fungal biowelding as a biocompatible adhesive, elucidating mycelium‐mediated interfacial mechanisms and their role in material assembly. Strategies to optimize biowelding are discussed, highlighting
Xue Brenda Bai, Xinrui Sarah Niu, Zhao Qin   +2 more
wiley   +1 more source