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  • Electronic Resource  (3)
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  • 2002  (3)
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  • PACS. 02.30.Ik Integrable systems – 02.40.Tt Complex manifolds – 45.20.Jj Lagrangian aaand Hamiltonian mechanics  (1)
  • PACS. 02.30.Ik Integrable systems – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems – 05.45.Yv Solitons  (1)
  • PACS. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models  (1)
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  • Electronic Resource  (3)
Years
  • 2005-2009
  • 2000-2004  (3)
  • 1985-1989
  • 1945-1949
  • 1935-1939
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Year
  • 2009
  • 2002  (3)
  • 1945
  • 1929
  • 1922
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  • 1
    Electronic Resource
    Electronic Resource
    Complexifications and real forms of Hamiltonian structures (2002)
    Springer
    The European physical journal 29 (2002), S. 177-181 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.30.Ik Integrable systems – 02.40.Tt Complex manifolds – 45.20.Jj Lagrangian aaand Hamiltonian mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We consider generalizations of the standard Hamiltonian dynamics to complex dynamical variables and introduce the notions of real Hamiltonian form in analogy with the notion of real forms for a simple Lie algebra. Thus to each real Hamiltonian system we are able to relate several nonequivalent ones. On the example of the complex Toda chain we demonstrate how starting from a known integrable Hamiltonian system (e.g. the Toda chain) one can complexify it and then project onto different real forms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00281-y
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Some geometric aspects of maps (2002)
    Springer
    The European physical journal 29 (2002), S. 217-219 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.40.-K Geometry, differential geometry, and topology – 02.30.Jr Partial differential equations – 11.10.Lm Nonlinear or nonlocal theories and models
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: In this talk we introduce a Weierstrass-like system of equations corresponding to CP N -1 fields in two dimensions. Then using this representation we introduce a vector in R N 2-1 and treating this vector as the radius vector of a surface immersed in R N 2-1 we discuss to what extent the associated metric describes the geometry of the CP N -1 maps. We show that for the holomorphic maps - the correspondence is exact; while for the more general fields we have to go beyond the Weierstrass system and add extra terms.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00289-3
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Quasi-periodic and periodic solutions for dynamical systems related to Korteweg-de Vries equation (2002)
    Springer
    The European physical journal 29 (2002), S. 255-259 
    Details
    ISSN: 1434-6036
    Keywords: PACS. 02.30.Ik Integrable systems – 05.45.-a Nonlinear dynamics and nonlinear dynamical systems – 05.45.Yv Solitons
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract: We consider quasi-periodic and periodic (cnoidal) wave solutions of a set of n-component dynamical systems related to Korteweg-de Vries equation. Quasi-periodic wave solutions for these systems are expressed in terms of Novikov polynomials. Periodic solutions in terms of Hermite polynomials and generalized Hermite polynomials for dynamical systems related to Korteweg-de Vries equation are found.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1140/epjb/e2002-00296-4
    Library Location Call Number Volume/Issue/Year Availability
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    Paper (German National Licenses)
    Fulltext
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