Results 41 to 50 of about 20,971 (292)

A new hierarchy of integrable system of 1+2 dimensions: from Newton's law to generalized Hamiltonian system. Part II

open access: yesInternational 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
doaj   +1 more source

Analytic-bilinear approach to integrable hierarchies. II. Multicomponent KP and 2D Toda lattice hierarchies

open access: yes, 1997
Analytic-bilinear approach for construction and study of integrable hierarchies is discussed. Generalized multicomponent KP and 2D Toda lattice hierarchies are considered.
B. G. Konopelchenko   +7 more
core   +1 more source

A Hierarchy of Discrete Integrable Coupling System with Self-Consistent Sources

open access: yesJournal 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
doaj   +1 more source

A New Approach for Generating the TX Hierarchy as well as Its Integrable Couplings

open access: yesAbstract 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
doaj   +1 more source

Initial states in integrable quantum field theory quenches from an integral equation hierarchy

open access: yesNuclear 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
doaj   +1 more source

Study of quasi-integrable and non-holonomic deformation of equations in the NLS and DNLS hierarchy

open access: yes, 2017
The hierarchy of equations belonging to two different but related integrable systems, the Nonlinear Schr\"odinger and its derivative variant, DNLS are subjected to two distinct deformation procedures, viz.
Abhinav, Kumar   +2 more
core   +2 more sources

Integrating partonomic hierarchies in anatomy ontologies [PDF]

open access: yesBMC 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.
Burger, Albert   +3 more
openaire   +4 more sources

Integrable hierarchies and the modular class [PDF]

open access: yesAnnales de l'Institut Fourier, 2008
It is well-known that the Poisson-Nijenhuis manifolds, introduced by Kosmann-Schwarzbach and Magri form the appropriate setting for studying many classical integrable hierarchies. In order to define the hierarchy, one usually specifies in addition to the Poisson-Nijenhuis manifold a bi-hamiltonian vector field.
Damianou, Pantelis A.   +1 more
openaire   +2 more sources

Pediatric Oncology Nursing Competencies in Latin America and the Caribbean: A Scoping Review to Inform Practice, Education, and Research

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Nurses are central to cancer care for children and adolescents, yet no comprehensive synthesis has defined essential core competencies for pediatric oncology nursing (PON) practice internationally, particularly in Latin America and the Caribbean (LAC).
Luís Carlos Lopes‐Júnior   +7 more
wiley   +1 more source

Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with SO(4)

open access: yesOpen Mathematics, 2017
In our paper, the theory of bi-integrable and tri-integrable couplings is generalized to the discrete case. First, based on the six-dimensional real special orthogonal Lie algebra SO(4), we construct bi-integrable and tri-integrable couplings associated ...
Zhang Jian, Zhang Chiping, Cui Yunan
doaj   +1 more source

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