Results 51 to 60 of about 371,670 (284)
MathematicsThis paper presents a four-component integrable extension of the derivative nonlinear Schrödinger (DNLS) soliton hierarchy, namely, the Kaup–Newell hierarchy of soliton equations. Motivated by a general extension idea for the Kaup–Newell spectral matrix,
Wen-Xiu Ma
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International Journal of Mathematics and Mathematical Sciences, 2006 The Hamiltonian equation provides us an alternate description of the basic physical laws of motion, which is used to be described by Newton's law.
Xuncheng Huang, Guizhang Tu
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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
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On the structure of (2+1)-dimensional commutative and noncommutative integrable equations [PDF]
, 2006 We develop the symbolic representation method to derive the hierarchies of (2+1)-dimensional integrable equations from the scalar Lax operators and to study their properties globally. The method applies to both commutative and noncommutative cases in the
Jing Ping Wang, Wang, Jing Ping
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Comparative Drug Response Profiling in Neuroblastoma Cell Lines and Patient‐Derived Tumor Organoids
Pediatric Blood &Cancer, EarlyView.ABSTRACT High‐risk neuroblastoma remains a leading cause of pediatric cancer mortality, and improved preclinical models are needed to guide therapeutic developments. We screened seven high‐risk neuroblastoma cell lines and three patient‐derived tumor organoids with 528 compounds alongside bone marrow controls, and compared them with external datasets ...
Krzysztof Wierbiłowicz +12 more
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A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings
Abstract and Applied Analysis, 2014 Tu Guizhang and Xu Baozhi once introduced an isospectral problem by a loop algebra with degree being λ, for which an integrable hierarchy of evolution equations (called the TX hierarchy) was derived under the frame of zero curvature equations.
Guangming Wang
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Initial states in integrable quantum field theory quenches from an integral equation hierarchy
Nuclear Physics B, 2016 We consider the problem of determining the initial state of integrable quantum field theory quenches in terms of the post-quench eigenstates. The corresponding overlaps are a fundamental input to most exact methods to treat integrable quantum quenches ...
D.X. Horváth, S. Sotiriadis, G. Takács
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Manifestly supersymmetric Lax integrable hierarchies [PDF]
Physics Letters B, 1997 A systematic method of constructing manifestly supersymmetric $1+1$-dimensional KP Lax hierarchies is presented. Closed expressions for the Lax operators in terms of superfield eigenfunctions are obtained. All hierarchy equations being eigenfunction equations are shown to be automatically invariant under the (extended) supersymmetry. The supersymmetric
Aratyn, H., Rasinariu, C.
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Chronic micro‐inflammation in patients with end‐stage renal disease (ESRD) is a significant driver of cardiovascular complications and diminished quality of life. While standard hemodialysis (SHD) effectively manages small‐molecule clearance, its ability to remove medium‐to‐large uremic toxins—the primary catalysts of systemic ...
Hongwei Zuo +5 more
wiley +1 more source
From mice to humans—divergent strategies for intestinal homeostasis and regeneration
FEBS Letters, EarlyView.Recent advances such as organoid genome editing, xenotransplantation, imaging, and whole‐genome sequencing have enabled direct studies of human intestinal stem cells (ISCs). These studies reveal species‐specific features, including slower ISC proliferation, distinct injury responses, slower somatic mutation accumulation in humans, and an inverse ...
Keiko Ishikawa +2 more
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