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  • American Institute of Physics (AIP)  (10)
  • Wiley  (1)
  • 1
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    WINDOWS OF OPPORTUNITY: HISTORICAL AND ECOLOGICAL CONTROLS ONBERBERIS THUNBERGIIINVASIONS (2007)
    Wiley
    Details
    Publication Date: 2007-12-01
    Print ISSN: 0012-9658
    Electronic ISSN: 1939-9170
    Topics: Biology
    Published by Wiley on behalf of Ecological Society of America.
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    PAPER CURRENT
  • 2
    Electronic Resource
    Electronic Resource
    Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. I. Systematic derivation (2000)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 41 (2000), S. 6399-6443 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In this article we begin a systematic investigation via multiscale expansions of nonlinear evolution PDEs (partial differential equations). In this first article we restrict consideration to a single, autonomous, but otherwise generic, PDE in 1+1 variables (space+time), of first order in time, whose linear part is dispersive, and to solutions dominated by a single plane wave satisfying the linear part of the PDE. The expansion parameter is an, assumedly small, coefficient multiplying this plane wave. The main (indeed, asymptotically exact) effect of the (weak) nonlinearity is then to cause a modulation of the amplitude of the plane wave and of its harmonics, which is generally described, in (appropriately defined) coarse-grained time and space variables, by evolution equations of nonlinear Schrödinger type. A systematic analysis of such equations is presented, corresponding to various assumptions on the "resonances" occurring for the first few harmonics. © 2000 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1287644
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  • 3
    Electronic Resource
    Electronic Resource
    Generalized intermediate long-wave hierarchy in zero-curvature representation with noncommutative spectral parameter (1992)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 33 (1992), S. 3783-3793 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The simplest generalization of the intermediate long-wave hierarchy (ILW) is considered to show how to extend the Zakharov–Shabat dressing method to nonlocal, i.e., integro-partial differential, equations. The purpose is to give a procedure of constructing the zero-curvature representation of this class of equations. This result obtains by combining the Drinfeld–Sokolov formalism together with the introduction of an operator-valued spectral parameter, namely, a spectral parameter that does not commute with the space variable x. This extension provides a connection between the ILWk hierarchy and the Saveliev–Vershik continuum graded Lie algebras. In the case of ILW2 the Fairlie–Zachos sinh-algebra was found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.529876
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  • 4
    Electronic Resource
    Electronic Resource
    1+1 solvable relativistic field models (1993)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 34 (1993), S. 2950-2964 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: Nonlinear Lorentz invariant field models are constructed in such a way to be integrable by a transformation of a linear free field. The transformation is explicitly found by requiring that the U(1) conserved current keeps the same expression of the free field. This method is applied to the complex scalar and spinor fields in 1+1 dimensions. Localized nondispersive waves exist and interact with each other. A way of introducing nonlinear interactions between different fields is also given with the property of preserving integrability.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.530107
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  • 5
    Electronic Resource
    Electronic Resource
    Nonlinear evolution equations associated with a Riemann–Hilbert scattering problem (1985)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 26 (1985), S. 2469-2472 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: In an earlier paper nonlinear evolution equations associated with a Riemann–Hilbert scattering problem, which reduces, in an appropriate limit, to the Zakharov–Shabat–AKNS scattering problem, were considered. Here we discuss certain necessary constraints associated with the scattering problem and their impact upon the associated evolution equations. Moreover, the direct linearization of the nonlinear evolution equations and an algorithm to construct anN-soliton solution are given.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.526760
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  • 6
    Electronic Resource
    Electronic Resource
    Nonlinear Schrödinger-type equations from multiscale reduction of PDEs. II. Necessary conditions of integrability for real PDEs (2001)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 42 (2001), S. 2635-2652 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: The multiscale method has been applied in J. Math. Phys. 41, 6399 (2000) to evolution PDEs to obtain various nonlinear Schrödinger-type equations. Here these results are exploited to derive necessary conditions of integrability for nonlinear, real, evolution PDEs in 1+1 dimensions. These conditions are given by explicit formulas, and several examples are detailed. © 2001 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.1366296
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  • 7
    Electronic Resource
    Electronic Resource
    Solutions of 1+1 relativistic field models (1998)
    College Park, Md. : American Institute of Physics (AIP)
    Journal of Mathematical Physics 39 (1998), S. 497-531 
    Details
    ISSN: 1089-7658
    Source: AIP Digital Archive
    Topics: Mathematics , Physics
    Notes: A class of classical relativistic nonlinear field models has been recently introduced by two of us [A. Degasperis and F. Tinebra, J. Math. Phys. 34, 2950 (1993)]; they are solvable by an explicit mapping to free field equations. Here we show the behavior of particular solutions of these models for both scalar and spinor fields. In the real spectrum we find brachion and tachion localized solutions, and we show the large-time behavior of wave packets, while in the complex spectrum we prove that the asymptotic states may contain solitons, antisolitons, and point-like charged particles ("pointons"). We report on several processes such as soliton–antisoliton pair creation and annihilation, and pointon decay in two solitons. © 1998 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.532329
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  • 8
    Electronic Resource
    Electronic Resource
    Canted ferrimagnetism in Ca2+Sc3+ substituted yttrium-iron-garnet (1988)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 64 (1988), S. 5656-5658 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The temperature dependence of the magnetization of Y3−y−zCayLuzFe5−xScxO12 (0.6≤x≤1.2, 0≤y≤0.3, 0≤z≤0.9) epitaxial garnet films was measured from 4.2 K up to the Curie temperature. For x=0.7 and T≥50 K, 4πMs is enhanced by about 10% compared to the magnetization of Sc0.7 YIG. At T〈50 K, a reduction of the magnetization, increasing with increasing substitution, was observed for all the measured samples. Agreement between the experimental results and molecular field models was obtained by taking into account the canting of the unsubstituted sublattice, the presence of charge compensating Fe4+ ions, a low-temperature ordering of Fe3+ ions with less than two magnetic nearest neighbors, and assuming a lattice parameter-dependent exchange interaction ratio with d(Jdd/Jad)/da =28 nm.−1 For x=1.2 and T〈10 K the magnetization can be influenced by cooling through the Curie point in a magnetic field.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.342261
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  • 9
    Electronic Resource
    Electronic Resource
    Ferromagnetic resonance spectra in reduced Ca-rich CaGe:YIG film (1987)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 61 (1987), S. 4256-4258 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: Ferromagnetic resonance (FMR) spectra have been obtained in an 11-μm-thick charge uncompensated garnet film having the composition of Y2.0Ca1.0Ge0.9Fe4.1O12 as a function of the reducing time up to 80 h in a solution of FeCl2 and in a N2 atmosphere at 1100 °C for up to 16 h. The temperature dependence of the cubic anisotropy field, the effective uniaxial anisotropy field, the g factor, and the linewidth were determined between 80 K and room temperature. The results show that, contrary to previous data based on the measurements of averaged properties, surface reduction is the dominant process and a surface layer having magnetic properties that differ significantly from the bulk region of the film is developed during reduction. The internal field parameters of the bulk layer of the film in the case of FeCl2 reduction are observed to be only slightly changed from those of the as-grown material, while for the nitrogen reduction process the growth-induced uniaxial anisotropy of the film is annealed out. The results are interpreted in the frame of the reduction of the charge compensating non-S-state Fe4+ ions to Fe3+ with the introduction of oxygen vacancies.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.338963
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  • 10
    Electronic Resource
    Electronic Resource
    Excitation effects in excess Ca-doped epitaxial CaGe:YIG garnets (1987)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 61 (1987), S. 3552-3554 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The effects of light and electric field on the electrical transport properties of p-type CaGe:YIG epitaxial films, having 0.1 at. f.u. excess Ca2+, were investigated from 30 to 340 K by measurements of dc conductivity, space-charge-limited current, and thermally stimulated current decay. The room-temperature conductivity of the films is of the order of 10−6 mho/cm, the mobility of the holes is 0.5 cm2/V s, and the density of charge carriers is 1012/cm3. The low-temperature conductivity of the films can be increased by six orders of magnitude under the effect of light (∼25 mW/cm2) and electric field (≤104 V/cm) at temperatures below 140 K. This photo- and electric-field-excited high conductivity state can be destroyed by thermal excitation at higher temperatures. It is assumed that below 200 K the holes are localized at Ca2+-Fe4+ centers which constitute an impurity band. Electrons excited from the valence band are trapped under the influence of the field at centers, formed probably by oxygen vacancies. The holes left in the valence band contribute to the high conductivity at low temperature.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.338721
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