Results 71 to 80 of about 117,386 (210)
Optics and Photonics News, 2001 Peer ...
Torner Sabata, Lluís, Stegeman, George
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Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Glasgow Mathematical Journal, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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ENERGY &ENVIRONMENTAL MATERIALS, EarlyView.This study investigates the effects of oxidation treatment on the nonlinear optical absorption properties and carrier dynamics of two‐dimensional violet phosphorene (VP), elucidating the underlying physical mechanisms. Furthermore, ultrashort laser pulses are achieved utilizing the enhanced saturation absorption and shortened carrier relaxation ...
Bo Li +6 more
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Topological Aspects of Spin and Statistics in Nonlinear Sigma Models
, 1992 We study the purely topological restrictions on allowed spin and statistics of topological solitons in nonlinear sigma models. Taking as space the connected $d$-manifold $X$, and considering nonlinear sigma models with the connected manifold $M$ as ...
Greenberg O. W. +3 more
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Transactions of the American Mathematical Society, 2011 Soliton spheres are immersed 2–spheres in the conformal 4–sphereS4=HP1S^4=\mathbb {HP}^1that allow rational, conformal parametrizationsf:CP1→HP1f\colon \mathbb {CP}^1\rightarrow \mathbb {HP}^1obtained via twistor projection and dualization from rational curves inCP2n+1\mathbb {CP}^{2n+1}.
Bohle, Christoph, Peters, G. Paul
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Heat Transfer, EarlyView.ABSTRACT Traditional numerical methods, such as finite difference methods (FDM), finite element methods (FEM), and spectral methods, often face meshing challenges and high computational cost for solving nonlinear coupled differential equations. Machine learning techniques, specifically Physics‐informed machine learning, address these obstacles by ...
Ahmad, Feroz Soomro, Husna Zafar
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Moving Bragg grating solitons in a semilinear dual-core system with dispersive reflectivity
Scientific Reports, 2017 The existence, stability and collision dynamics of moving Bragg grating solitons in a semilinear dual-core system where one core has the Kerr nonlinearity and is equipped with a Bragg grating with dispersive reflectivity, and the other core is linear are
S. A. M. Saddam Chowdhury, Javid Atai
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Multidimensional solitons in a low-dimensional periodic potential
, 2003 Using the variational approximation(VA) and direct simulations, we find stable 2D and 3D solitons in the self-attractive Gross-Pitaevskii equation (GPE) with a potential which is uniform in one direction ($z$) and periodic in the others (but the quasi-1D
A. Ferrando +5 more
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Journal of Medical Radiation Sciences, EarlyView.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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