Results 31 to 40 of about 89,617 (169)
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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Modern Physics Letters A, 1998 The existence of ring-like and knotted solitons in O(3) nonlinear σ-model is analyzed. The role of isotopy of knots/links in classifying such solitons is pointed out. Appearance of torus knot solitons is seen.
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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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Optics and Photonics News, 2001 Peer ...
Torner Sabata, Lluís, Stegeman, George
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Nonlinear theory of soliton-induced waveguides
, 1998 We develop a nonlinear theory of soliton-induced waveguides that describes a finite-amplitude probe beam guided by a spatial dark soliton in a saturable nonlinear medium.
Askar’yan +16 more
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Strain Imaging of GaAs by Stimulated Raman Scattering Microscopy
Journal of Raman Spectroscopy, EarlyView.Telecom‐wavelength stimulated Raman scattering (SRS) microscopy is developed for high‐throughput, nondestructive characterization of gallium arsenide (GaAs). By overcoming optical absorption limits of conventional Raman systems, this technique enables precise visualization of LO phonon frequency variations (< 0.2‐cm−1$$ {}^{-1} $$ precision).
Yuki Sano, Yasuyuki Ozeki
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Glasgow Mathematical Journal, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Soliton Interaction In the Modified Kadomtsev-Petviashvili-(II) Equation
, 2018 We study soliton interaction in the Modified Kadomtsev-Petviashvili-(II) equation (MKP-(II)) using the totally non-negative Grassmannian. One constructs the multi-kink soliton of MKP equation using the $\tau$-function and the Binet-Cauchy formula, and ...
Chang, Jen-Hsu
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Laser &Photonics Reviews, EarlyView.The miniaturization of metrology and precision spectroscopy systems requires robust, turn‐key microcombs with broad bandwidth, low threshold, and high efficiency. Here, high‐Q, dispersion‐engineered microresonators in a high‐confinement nonlinear SiC platform, combined with waveguide‐enabled thermal management and laser cooling, enable deterministic ...
Yi Zheng +7 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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