Results 51 to 60 of about 86,829 (231)

NONLINEAR EQUATION WITH THE THIRD ORDER SCATTERING OPERATOR

open access: yesНаука. Инновации. Технологии, 2022
Introduction: most of the differential equations associated with soliton mathematics are obtained using the Lax operator equation or the zero-curvature equation, which are the compatibility condition for a pair of linear differential systems. The case in
Olga Sergeevna Yanovskaya   +1 more
doaj  

Notes on “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr. 82 (2010) 015008]

open access: yesResults in Physics, 2016
We demonstrate that the Darboux transformation in the paper “Soliton solutions by Darboux transformation and some reductions for a new Hamiltonian lattice hierarchy” [Phys. Scr.
Xi-Xiang Xu
doaj   +1 more source

On some integrability aspects of the two-component Camassa–Holm equation

open access: yesPartial Differential Equations in Applied Mathematics, 2022
The integrability of the two-component Camassa–Holm shallow water equation with the gravity acceleration points downwards and upwards is investigated by prolongation structure theory and the geometric approach of pseudo-spherical surfaces.
Deng-Shan Wang
doaj   +1 more source

Trivially Related Lax Pairs Of The Sawada-Kotera Equation [PDF]

open access: yes, 2015
We show that a recently introduced Lax pair of the Sawada-Kotera equation is not a new one but is trivially related to the known old Lax pair. Using the so-called trivial compositions of the old Lax pairs with a differentially constrained arbitrary ...
Talati, Daryoush
core  

Integrability of Five Dimensional Minimal Supergravity and Charged Rotating Black Holes

open access: yes, 2009
We explore the integrability of five-dimensional minimal supergravity in the presence of three commuting Killing vectors. We argue that to see the integrability structure of the theory one necessarily has to perform an Ehlers reduction to two dimensions.
Figueras, Pau   +3 more
core   +2 more sources

Hamiltonian Monodromy via spectral Lax pairs

open access: yesJournal of Mathematical Physics
Hamiltonian Monodromy is the simplest topological obstruction to the existence of global action-angle coordinates in a completely integrable system. We show that this property can be studied in a neighborhood of a focus-focus singularity by a spectral Lax pair approach.
Gutierrez Guillen, Gabriela   +2 more
openaire   +4 more sources

Binary Nonlinearization of Lax Pairs

open access: yes, 1996
8 pages, latex, to appear in the Proceedings of Nonlinear Physics ...
Ma, Wen-Xiu, Fuchssteiner, Benno
openaire   +2 more sources

Cumulative Social Disadvantage and Disease Activity in Juvenile Idiopathic Arthritis: A Childhood Arthritis and Rheumatology Research Alliance Registry Study

open access: yesArthritis Care &Research, EarlyView.
Objective Social determinants of health (SDOH) contribute to juvenile idiopathic arthritis (JIA) disparities, but most studies have assessed SDOH independently rather than cumulatively across individual, family, and neighborhood levels. Using a socioecological framework, we investigated the relationship among cumulative social disadvantage ...
William Daniel Soulsby   +448 more
wiley   +1 more source

Promotion of DFU Wound Healing via BRG1–COL16A1 Axis in Fibroblasts

open access: yesAdvanced Science, EarlyView.
In normal wound healing, transcription factor BRG1 is upregulated and binds the COL16A1 promoter to enhance its expression, promoting fibroblast proliferation, migration, contraction, extracellular matrix deposition, and granulation tissue formation, thus accelerating wound closure.
Penghui Wang   +10 more
wiley   +1 more source

Symmetries for the Semi-Discrete Lattice Potential Korteweg–de Vries Equation

open access: yesMathematics
In this paper, we prove that the isospectral flows associated with both the x-part and the n-part of the Lax pair of the semi-discrete lattice potential Korteweg–de Vries equation are symmetries of the equation.
Junwei Cheng, Xiang Tian
doaj   +1 more source

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