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  • ZIB Catalog
  • Articles: DFG German National Licenses  (3)
  • 2000-2004  (3)
  • 1980-1984
  • 1890-1899
  • 1880-1889
  • 2002  (3)
  • PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation  (2)
  • PACS. 02.40.Hw Classical differential geometry – 05.45.Yv Solitons – 75.10.Hk Classical spin models  (1)
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  • ZIB Catalog
  • Articles: DFG German National Licenses  (3)
Material
Years
  • 2000-2004  (3)
  • 1980-1984
  • 1890-1899
  • 1880-1889
Year
  • 2002  (3)
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  • 1
    Electronic Resource
    Electronic Resource
    New geometries associated with the nonlinear Schrödinger equation (2002)
    Springer
    The European physical journal 29 (2002), S. 193-196 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.40.Hw Classical differential geometry – 05.45.Yv Solitons – 75.10.Hk Classical spin models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We apply our recent formalism establishing new connections between the geometry of moving space curves and soliton equations, to the nonlinear Schrödinger equation (NLS). We show that any given solution of the NLS gets associated with three distinct space curve evolutions. The tangent vector of the first of these curves, the binormal vector of the second and the normal vector of the third, are shown to satisfy the integrable Landau-Lifshitz (LL) equation = × , ( = 1). These connections enable us to find the three surfaces swept out by the moving curves associated with the NLS. As an example, surfaces corresponding to a stationary envelope soliton solution of the NLS are obtained.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00284-8
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Selection of dune shapes and velocities Part 1: Dynamics of sand, wind and barchans (2002)
    Springer
    The European physical journal 28 (2002), S. 321-339 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: Almost fifty years of investigations of barchan dunes morphology and dynamics is reviewed, with emphasis on the physical understanding of these objects. The characteristic quantities measured on the field (shape, size, velocity) and the physical problems they rise are presented. Then, we review the dynamical mechanisms explaining the formation and the propagation of dunes. In particular a complete and original approach of the sand transport over a flat sand bed is proposed and discussed. We conclude on open problems by outlining future research directions.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00236-4
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Selection of dune shapes and velocities Part 2: A two-dimensional modelling (2002)
    Springer
    The European physical journal 28 (2002), S. 341-352 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 45.70.-n Granular systems – 47.54.+r Pattern selection; pattern formation
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We present in this paper a simplification of the dune model proposed by Sauermann et al. which keeps the basic mechanisms but allows analytical and parametric studies. Two kinds of purely propagative two dimensional solutions are exhibited: dunes and domes. The latter, by contrast to the former, do not present a slip face. Their shape and velocity can be predicted as a function of their size. We recover that dune profiles are not scale invariant (small dunes are flatter than the large ones), and that the inverse of the velocity grows almost linearly with the dune size. We furthermore get the existence of a critical mass below which no dune solution exists. It rises the problem of dune nucleation: how can dunes appear if any bump below this minimal mass gets eroded and disappears? The linear stability analysis of a flat sand bed shows that it is unstable at large wavelengths: dune can in fact nucleate from a small sand mass if the proto-dune is sufficiently long.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00237-3
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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