Results 131 to 140 of about 4,761,670 (353)

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

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

Diffusion Spectrum Imaging Maps Early Axonal Loss and a Unique Progressive Signal in Neuronal Intranuclear Inclusion Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To delineate specific in vivo white matter pathology in neuronal intranuclear inclusion disease (NIID) using diffusion spectrum imaging (DSI) and define its clinical relevance. Methods DSI was performed on 42 NIID patients and 38 matched controls.
Kaiyan Jiang, Yixiu Pei, Xiaobao Hu, Ying Xiong, Fang Wang, Yanyan Yu, Min Zhu, Dandan Tan, Meihong Zhou, Daojun Hong, Fuqing Zhou   +10 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

Multi-field representations of KP hierarchies and multi-matrix models

, 1993
We discuss the integrable hierarchies that appear in multi--matrix models. They can be envisaged as multi--field representations of the KP hierarchy.
Bonora, C.S. Xiong, Dickey, Dirac, Douglas, Drinfeld, Kupersmith, L. Bonora, Semenov-Tian-Shansky, Yu   +9 more
core   +2 more sources

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

Development of a Personalized Visualization and Analysis Tool to Improve Clinical Care in Complex Multisystem Diseases With Application to Scleroderma

Arthritis Care &Research, EarlyView.
Objective In complex diseases, it is challenging to assess a patient's disease state, trajectory, treatment exposures, and risk of multiple outcomes simultaneously, efficiently, and at the point of care. Methods We developed an interactive patient‐level data visualization and analysis tool (VAT) that automates illustration of the trajectory of a ...
Ji Soo Kim, John Scott, Lauren Fisher, Lauren N. Smith, Willie Stewart, Adrianne Woods, Rob Smithwright, Diane Koher, Parastoo Aslanbeik, Aalok B. Shah, Brad Tibbils, Samantha I. Pitts, Ayse P. Gurses, Yushi Yang, Ana‐Maria Orbai, Antony Rosen, Laura K. Hummers, Scott L. Zeger, Ami A. Shah   +18 more
wiley   +1 more source

N-Dimensional Lattice Integrable Systems and Their bi-Hamiltonian Structure on the Time Scale Using the R-Matrix Approach

Axioms
A time scale is a special measure chain that can unify continuous and discrete spaces, enabling the construction of integrable equations. In this paper, with the Lax operator generated by the displacement operator, N-dimensional lattice integrable ...
Yong Fang, Xue Sang, Manwai Yuen, Yong Zhang   +3 more
doaj   +1 more source

`Interpolating' differential reductions of multidimensional integrable hierarchies

, 2010
We transfer the scheme of constructing differential reductions, developed recently for the case of the Manakov-Santini hierarchy, to the general multidimensional case.
J. F. Plebański, K. Takasaki, K. Takasaki, L. Martinez Alonso, L. Martinez Alonso, L. V. Bogdanov, L. V. Bogdanov, L. V. Bogdanov, L. V. Bogdanov, L. V. Bogdanov, L. V. Bogdanov, M. Dunajski, M. Dunajski, M. Dunajski, M. Jimbo, M. V. Pavlov, S. V. Manakov, S. V. Manakov, S. V. Manakov, V. E. Zakharov, V. E. Zakharov   +20 more
core   +1 more source

A hierarchical integrative group least absolute shrinkage and selection operator for analyzing environmental mixtures [PDF]

, 2021
Jonathan Boss, Alexander Rix, Yin‐Hsiu Chen, Naveen N. Narisetty, Zhenke Wu, Kelly K. Ferguson, Thomas F. McElrath, John D. Meeker, Bhramar Mukherjee   +8 more
openalex   +1 more source