Results 31 to 40 of about 661 (265)
Advances in Mathematical Physics, 2013 Nonlinear integrable couplings of super Broer-Kaup-Kupershmidt hierarchy based upon an enlarged matrix Lie super algebra were constructed. Then its super Hamiltonian structures were established by using super trace identity, and the conserved functionals
Sixing Tao, Tiecheng Xia
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Backlund transformation for integrable hierarchies: example - mKdV hierarchy
Journal of Physics: Conference Series, 2015 Proceedings of the 30th International Colloquium on Group Theoretical Methods in Physics (Group30), Ghent ...
Gomes, J. F. +3 more
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Associativity equations in dispersionless integrable hierarchies
Physics Letters B, 2001 We discuss the origin of the associativity (WDVV) equations in the context of quasiclassical or Whitham hierarchies. The associativity equations are shown to be encoded in the dispersionless limit of the Hirota equations for KP and Toda hierarchies. We show, therefore, that any tau-function of dispersionless KP or Toda hierarchy provides a solution to ...
Boyarsky, A.M. +4 more
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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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Integrating partonomic hierarchies in anatomy ontologies [PDF]
BMC Bioinformatics, 2004 Abstract Background Anatomy ontologies play an increasingly important role in developing integrated bioinformatics applications. One of the primary relationships between anatomical tissues represented in such ontologies is part-of.
Albert Burger +3 more
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A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources
Journal of Applied Mathematics, 2014 Integrable coupling system of a lattice soliton equation hierarchy is deduced. The Hamiltonian structure of the integrable coupling is constructed by using the discrete quadratic-form identity.
Yuqing Li, Huanhe Dong, Baoshu Yin
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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
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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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