Results 71 to 80 of about 4,761,670 (353)
Tau-Functions and Generalized Integrable Hierarchies
The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies.
Hollowood, Timothy, Miramontes, J. Luis
core +2 more sources
Double Ramification Cycles and Integrable Hierarchies [PDF]
In this paper we present a new construction of a hamiltonian hierarchy associated to a cohomological field theory. We conjecture that in the semisimple case our hierarchy is related to the Dubrovin–Zhang hierarchy by a Miura transformation, and we check ...
A. Buryak
semanticscholar +1 more source
Time after time – circadian clocks through the lens of oscillator theory
Oscillator theory bridges physics and circadian biology. Damped oscillators require external drivers, while limit cycles emerge from delayed feedback and nonlinearities. Coupling enables tissue‐level coherence, and entrainment aligns internal clocks with environmental cues.
Marta del Olmo +2 more
wiley +1 more source
Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations
The KdV hierarchy is a paradigmatic example of the rich mathematical structure underlying integrable systems and has far-reaching connections in several areas of theoretical physics.
Ysla F. Adans +4 more
doaj +1 more source
Combinatorial solutions to integrable hierarchies [PDF]
This paper reviews modern approaches to the construction of formal solutions to integrable hierarchies of mathematical physics whose coefficients are answers to various enumerative problems. The relationship between these approaches and the combinatorics
M. Kazarian, M. Kazarian, S. Lando
semanticscholar +1 more source
Generalized W-algebras and integrable hierarchies [PDF]
9 ...
Burroughs, N. +3 more
openaire +4 more sources
AZD9291 has shown promise in targeted cancer therapy but is limited by resistance. In this study, we employed metabolic labeling and LC–MS/MS to profile time‐resolved nascent protein perturbations, allowing dynamic tracking of drug‐responsive proteins. We demonstrated that increased NNMT expression is associated with drug resistance, highlighting NNMT ...
Zhanwu Hou +5 more
wiley +1 more source
On the Whitham Hierarchies: Reductions and Hodograph Solutions [PDF]
A general scheme for analyzing reductions of Whitham hierarchies is presented. It is based on a method for determining the $S$-function by means of a system of first order partial differential equations.
Alonso, Luis Martinez +2 more
core +3 more sources
A System with Two Integrable Hierarchies [PDF]
Summary: By assuming the symmetry group and using the inverse method, we find an integrable system which is constructed from superposition of two hierarchies of integrable equations. The authors discuss the SU(2) and SL(2,\(\mathbb{R}\)) cases in detail.
Imai, Koji +2 more
openaire +1 more source
A comprehensive genomic and proteomic analysis of cervical cancer revealed STK11 and STX3 as a potential biomarkers of chemoradiation resistance. Our study demonstrated EGFR as a therapeutic target, paving the way for precision strategies to overcome treatment failure and the DNA repair pathway as a critical mechanism of resistance.
Janani Sambath +13 more
wiley +1 more source

