Results 41 to 50 of about 422 (246)

An integrable coupling hierarchy of Dirac integrable hierarchy, its Liouville integrability and Darboux transformation

open access: yesThe Journal of Nonlinear Sciences and Applications, 2017
Summary: An integrable coupling hierarchy of Dirac integrable hierarchy is presented by means of zero curvature representation. A Hamiltonian operator involving two parameters is introduced, and it is used to derive a pair of Hamiltonian operators. A bi-Hamiltonian structure of the obtained integrable coupling hierarchy is constructed with the aid of ...
Xu, Xi-Xiang, Sun, Ye-Peng
openaire   +2 more sources

Dispersionless Integrable Hierarchy via Kodaira–Spencer Gravity [PDF]

open access: yesCommunications in Mathematical Physics, 2020
We explain how dispersionless integrable hierarchy in 2d topological field theory arises from the Kodaira-Spencer gravity (BCOV theory). The infinitely many commuting Hamiltonians are given by the current observables associated to the infinite abelian symmetries of the Kodaira-Spencer gravity. We describe a BV framework of effective field theories that
Weiqiang He   +3 more
openaire   +2 more sources

Organ‐specific redox imbalances in spinal muscular atrophy mice are partially rescued by SMN antisense oligonucleotides

open access: yesFEBS Letters, EarlyView.
We identified a systemic, progressive loss of protein S‐glutathionylation—detected by nonreducing western blotting—alongside dysregulation of glutathione‐cycle enzymes in both neuronal and peripheral tissues of Taiwanese SMA mice. These alterations were partially rescued by SMN antisense oligonucleotide therapy, revealing persistent redox imbalance as ...
Sofia Vrettou, Brunhilde Wirth
wiley   +1 more source

A Few Integrable Couplings of Some Integrable Systems and (2+1)-Dimensional Integrable Hierarchies

open access: yesAbstract and Applied Analysis, 2014
Two high-dimensional Lie algebras are presented for which four (1+1)-dimensional expanding integrable couplings of the D-AKNS hierarchy are obtained by using the Tu scheme; one of them is a united integrable coupling model of the D-AKNS hierarchy and the
Binlu Feng, Yufeng Zhang, Huanhe Dong
doaj   +1 more source

Kadomtsev–Petviashvili Hierarchy: Negative Times

open access: yesMathematics, 2021
The Kadomtsev–Petviashvili equation is known to be the leading term of a semi-infinite hierarchy of integrable equations with evolutions given by times with positive numbers. Here, we introduce new hierarchy directed to negative numbers of times.
Andrei K. Pogrebkov
doaj   +1 more source

Liouville correspondences between multicomponent integrable hierarchies [PDF]

open access: yesTheoretical and Mathematical Physics, 2020
In this paper, we establish Liouville correspondences for the integrable two-component Camassa-Holm hierarchy, the two-component Novikov (Geng-Xue) hierarchy, and the two-component dual dispersive water wave hierarchy by means of the related Liouville transformations. This extends previous results on the scalar Camassa-Holm and KdV hierarchies, and the
Kang, Jing   +3 more
openaire   +3 more sources

The neural crest‐associated gene ERRFI1 is involved in melanoma progression and resistance toward targeted therapy

open access: yesMolecular Oncology, EarlyView.
ERRFI1, a neural crest (NC)‐associated gene, was upregulated in melanoma and negatively correlated with the expression of melanocytic differentiation markers and the susceptibility of melanoma cells toward BRAF inhibitors (BRAFi). Knocking down ERRFI1 significantly increased the sensitivity of melanoma cells to BRAFi.
Nina Wang   +8 more
wiley   +1 more source

LINC01116, a hypoxia‐lncRNA marker of pathological lymphangiogenesis and poor prognosis in lung adenocarcinoma

open access: yesMolecular Oncology, EarlyView.
The LINC01116 long noncoding RNA is induced by hypoxia and associated with poor prognosis and high recurrence rates in two cohorts of lung adenocarcinoma patients. Here, we demonstrate that besides its expression in cancer cells, LINC01116 is markedly expressed in lymphatic endothelial cells of the tumor stroma in which it participates in hypoxia ...
Marine Gautier‐Isola   +12 more
wiley   +1 more source

Negative flows of generalized KdV and mKdV hierarchies and their gauge-Miura transformations

open access: yesJournal of High Energy Physics, 2023
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

Generalized W-algebras and integrable hierarchies [PDF]

open access: yesPhysics Letters B, 1992
9 ...
Burroughs, N.   +3 more
openaire   +4 more sources

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