Results 51 to 60 of about 20,937 (290)

Generating nonisospectral integrable hierarchies via a new scheme

Advances in Difference Equations, 2020
In the paper, an efficient and straightforward method for generating nonisospectral integrable hierarchies is introduced. It follows that we consider the application related to Lie algebra gl ( 3 ) $\operatorname{gl}(3)$ based on the method.
Haifeng Wang, Yufeng Zhang
doaj   +1 more source

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

The 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]

Communications 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, Si Li, Xinxing Tang, Philsang Yoo   +3 more
openaire   +2 more sources

An extension of heat hierarchy [PDF]

, 2017
We propose a formally completely integrable extension of heat hierarchy based on the space of symmetries isomorphic to the Weyl algebra $\mathcal{A}_1$. The extended heat hierarchy will be the basic model for the analysis of the extension of KP hierarchy,
Wang, Joe S.
core  

Integrable Extensions of N=2 Supersymmetric KdV Hierarchy Associated with the Nonuniqueness of the Roots of the Lax operator

, 1998
We preesent a new supersymmetric integrable extensions of the a=4,N=2 KdV hierarchy. The root of the supersymmetric Lax operator of the KdV equation is generalized, by including additional fields.
Ablowitz, Bellucci, Belluci, Brezin, Chaichian, Dargis, Das, Delduc, Delduc, Faddeev, Gross, Inami, Ivanov, Kulish, Labelle, Laberge, Manin, Mathieu, Oevel, Polyakov, Popowicz, Popowicz, Popowicz, Yung, Z. Popowicz   +24 more
core   +2 more sources

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

FEBS 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

Bi-Integrable and Tri-Integrable Couplings of a Soliton Hierarchy Associated with SO(3)

Advances in Mathematical Physics, 2017
Based on the three-dimensional real special orthogonal Lie algebra SO(3), by zero curvature equation, we present bi-integrable and tri-integrable couplings associated with SO(3) for a hierarchy from the enlarged matrix spectral problems and the enlarged ...
Jian Zhang, Chiping Zhang, Yunan Cui
doaj   +1 more source

Similarity Transformations and Nonlocal Reduced Integrable Nonlinear Schrödinger Type Equations

Mathematics, 2023
We present three reduced integrable hierarchies of nonlocal integrable nonlinear Schrödinger-type equations, starting from a given vector integrable hierarchy generated from a matrix Lie algebra of B type. The basic tool is the zero curvature formulation.
Li Cheng, Wen-Xiu Ma
doaj   +1 more source

Liouville correspondences between multicomponent integrable hierarchies [PDF]

Theoretical 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, Liu, Xiaochuan, Olver, P. J., Qu, Changzheng   +3 more
openaire   +3 more sources

Negative order MKdV hierarchy and a new integrable Neumann-like system

, 2002
The purpose of this paper is to develop the negative order MKdV hierarchy and to present a new related integrable Neumann-like Hamiltonian flow from the view point of inverse recursion operator and constraint method.
Ablowitz, Alber, Alber, Andree, Antonowicz, Antonowicz, Arnol'd, Camassa, Cao, Case, Chern, Fordy, Knoerrer, Olver, Qiao, Qiao, Qiao, Qiao, Verosky, Wadati, Wadati, Walter Strampp, Zakharov, Zakharov, Zhijun Qiao, Zhou, Zhou   +26 more
core   +1 more source