Results 81 to 90 of about 8,648 (287)
Constrained lattice-field hierarchies and Toda system with Block symmetry
In this paper, we construct the additional $W$-symmetry and ghost symmetry of two-lattice field integrable hierarchies. Using the symmetry constraint, we construct constrained two-lattice integrable systems which contain several new integrable difference
Li, Chuanzhong
core +1 more source
Constrained KP Models as Integrable Matrix Hierarchies [PDF]
We formulate the constrained KP hierarchy (denoted by \cKP$_{K+1,M}$) as an affine ${\widehat {sl}} (M+K+1)$ matrix integrable hierarchy generalizing the Drinfeld-Sokolov hierarchy.
Aratyn, H. +3 more
core +1 more source
Meta‐analysis fails to show any correlation between protein abundance and ubiquitination changes
We analyzed over 50 published proteomics datasets to explore the relationship between protein levels and ubiquitination changes across multiple experimental conditions and biological systems. Although ubiquitination is often associated with protein degradation, our analysis shows that changes in ubiquitination do not globally correlate with changes in ...
Nerea Osinalde +3 more
wiley +1 more source
Matrix mKdV Integrable Hierarchies via Two Identical Group Reductions
This paper applies a pair of identical group reductions or similarity transformations to formulate integrable models. An application to the Ablowitz–Kaup–Newell–Segur (AKNS) matrix spectral problems leads to reduced matrix modified Korteweg–de Vries ...
Wen-Xiu Ma
doaj +1 more source
What is the relativistic Volterra lattice?
We develop a systematic procedure of finding integrable ''relativistic'' (regular one-parameter) deformations for integrable lattice systems. Our procedure is based on the integrable time discretizations and consists of three steps.
Ragnisco, Orlando, Suris, Yuri B.
core +2 more sources
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei +3 more
wiley +1 more source
From one to infinity: symmetries of integrable systems
Integrable systems constitute an essential part of modern physics. Traditionally, to approve a model is integrable one has to find its infinitely many symmetries or conserved quantities.
S. Y. Lou, Man Jia
doaj +1 more source
$\mathcal D$-bundles and integrable hierarchies
We study the geometry of \mathcal D - bundles —locally projective \mathcal D -modules—on algebraic curves, and apply them to ...
David Ben-Zvi, Thomas Nevins
openaire +2 more sources
Why human connection is the true metric of research success
Human‐centred mentorship can be shaped by mentor attributes, actions, intrinsic drive and career ambition. Drawing on reflections across Singapore and France, as well as workshop insights from FEBS‐IUBMB ENABLE 2024, this article shows that human‐centred mentorship creates the conditions for sustainable growth, well‐being and retention in research ...
Timothy Lin Yun Tan +3 more
wiley +1 more source
Hopf link invariants and integrable hierarchies
The goal of this note is to study integrable properties of a generating function of the HOMFLY-PT invariants of the Hopf link colored with different representations.
Chuanzhong Li, A. Mironov, A.Yu. Orlov
doaj +1 more source

