Results 81 to 90 of about 1,039 (297)
, 2010 Two hierarchies of nonlinear soliton equations are derived from a discrete spectral problem. It is shown that the hierarchies are completely integrable Hamiltonian systems.
HONG-QING ZHAO, YE-PENG SUN
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Integrable coupled bosonic massive Thirring model and its nonlocal reductions
Journal of High Energy PhysicsA coupled bosonic massive Thirring model (BMTM), involving an interaction between the two independent spinors, is introduced and shown to be integrable.
B. Basu-Mallick, Debdeep Sinha
doaj +1 more source
Why human connection is the true metric of research success
FEBS Open Bio, EarlyView.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
A note on gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant Bethe vectors
Journal of High Energy Physics, 2018 We consider gl2 $$ \mathfrak{g}{\mathfrak{l}}_2 $$-invariant quantum integrable models solvable by the algebraic Bethe ansatz. We show that the form of on-shell Bethe vectors is preserved under certain twist transformations of the monodromy matrix.
S. Belliard, N. A. Slavnov
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Nonlinear evolution of disturbances in higher time-derivative theories
Journal of High Energy PhysicsWe investigate the evolution of localized initial value profiles when propagated in integrable versions of higher time-derivative theories. In contrast to the standard cases in nonlinear integrable systems, where these profiles evolve into a specific ...
Andreas Fring +2 more
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Analytic-bilinear approach to integrable hierarchies. I. Generalized KP hierarchy [PDF]
Journal of Mathematical Physics, 1998 An analytic-bilinear approach for construction and study of integrable hierarchies, in particular, the KP hierarchy is proposed. It starts with the generalized Hirota identity for the Cauchy–Baker–Akhiezer (CBA) function and leads to a generalized KP hierarchy in the form of compact functional equations containing a special shift operator.
BOGDANOV L. V., KONOPELCHENKO, Boris
openaire +4 more sources
FEBS Open Bio, EarlyView.Early‐life exposure to a high‐fat diet altered intact Achilles tendons in rat offspring, making them thinner, stiffer, and molecularly distinct even without injury. These findings suggest that developmental high‐fat diet exposure may impair tendon quality and increase susceptibility to mechanical overload or tendon injury later in life.
Heyong Yin +3 more
wiley +1 more source
Two Isospectral-Nonisospectral Super-Integrable Hierarchies and Related Invariant Solutions
, 2021 In this article, we adopt two kinds of loop algebras corresponding to the Lie algebra B(0,1) to introduce two line spectral problems with different numbers of even and odd superfunctions.
Yufeng Zhang, Huanhuan Lu
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Hopf link invariants and integrable hierarchies
Physics Letters BThe 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
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Nonassociativity and Integrable Hierarchies
, 2005 Let A be a nonassociative algebra such that the associator (A,A^2,A) vanishes. If A is freely generated by an element f, there are commuting derivations delta_n, n=1,2,..., such that delta_n(f) is a nonlinear homogeneous polynomial in f of degree n+1. We prove that the expressions delta_{n_1} ...
Dimakis, Aristophanes +1 more
openaire +2 more sources