Results 91 to 100 of about 902,254 (275)
A Nonlocal Kac-van Moerbeke Equation Admitting N-Soliton Solutions
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This study retrospectively analysed eight years of neonatal spinal ultrasound data from a major Australian children's hospital to assess the value of imaging for simple sacral dimples. Out of 448 scans, 195 were for an isolated simple dimple, and only two infants (1%) were found to have spinal dysraphism, both with other congenital anomalies.
Nyles Tattersall +5 more
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This implementation science study evaluated the removal of patient contact shielding in paediatric radiography at a quaternary Australian hospital. Guided by the COM‐B model and Theoretical Domains Framework, the policy change was implemented with minimal disruption. Fewer than 0.5% of families raised any concerns, demonstrating that even long‐standing
Elaine Ryan +4 more
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Solitons from Dressing in an Algebraic Approach to the Constrained KP Hierarchy
The algebraic matrix hierarchy approach based on affine Lie $sl (n)$ algebras leads to a variety of 1+1 soliton equations. By varying the rank of the underlying $sl (n)$ algebra as well as its gradation in the affine setting, one encompasses the set of ...
A H Zimerman +17 more
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Pulse Generation by On‐Chip Dispersion Compensation at 8 µm Wavelength
This work demonstrates on‐chip pulse generation at 8 μm$\mathrm{\mu}\mathrm{m}$ using chirped Bragg gratings in SiGe graded‐index photonic circuits to compensate the quadratic phase of quantum cascade laser frequency combs. With this approach pulses as short as 1.39 ps were produced, close to the transform limit, representing a key step toward compact,
Annabelle Bricout +17 more
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Riemann-Hilbert Approach and $N$-Soliton Solutions for Three-Component Coupled Hirota Equations
In this work, we consider an integrable three-component coupled Hirota (tcCH) equations in detail via the Riemann-Hilbert (RH) approach. We present some properties of the spectral problems of the tcCH equations with $4\times4$ the Lax pair. Moreover, the RH problem of the equations is established via analyzing the analyticity of the spectrum problem ...
Wu, Xin, Tian, Shou-Fu, Yang, Jin-Jie
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Schr\"odinger Soliton from Lorentzian Manifolds
In this paper, we introduce a new notion named as Schr\"odinger soliton. So-called Schr\"odinger solitons are defined as a class of special solutions to the Schr\"odinger flow equation from a Riemannian manifold or a Lorentzian manifold $M$ into a K ...
Song, Chong, Wang, Youde
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Observation of Linear and Nonlinear Light Trapping on Topological Dislocations
Topological dislocations are global lattice defects found in various systems ranging from crystals to photonic lattices. This work reports the first observation at optical frequencies of linear modes with tunable localization bound to edge dislocations and their nonlinear counterparts ‐ dislocation solitons. These results reveal an intriguing interplay
S. K. Ivanov +13 more
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The results of computer simulation N-soliton solutions of the Korteweg – de Vries equation with N = 1, 2, 3, 4 are shown. Using numerical experiment the property of conservation of area under the envelope of soliton solutions of the Korteweg – de Vries ...
Y. F. Novik
doaj
The N-soliton solutions of the n-component generalized Sasa-Satsuma system: Riemann-Hilbert method
Using the Riemann-Hilbert method, the paper systematically investigates the n-component generalized Sasa-Satsuma system. By utilizing the Tu scheme, we systematically construct the n-component generalized Sasa-Satsuma integrable hierarchy, and obtain the
Zhiguo Ren, Jing Yu, Lin Huang
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