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  • 1
    Electronic Resource
    Electronic Resource
    Exact quantum-mechanical solutions for anharmonic oscillators
    Amsterdam : Elsevier
    Physics Letters A 81 (1981), S. 116-118 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(81)90037-2
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  • 2
    Electronic Resource
    Electronic Resource
    Solitary waves in a 1D anharmonic lattice with two-component order parameter
    Amsterdam : Elsevier
    Physics Letters A 100 (1984), S. 11-14 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(84)90342-6
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  • 3
    Electronic Resource
    Electronic Resource
    Magnetic solitons as envelope solitons in a large class of the nonlinear Schrodinger equations
    Amsterdam : Elsevier
    Physics Letters A 80 (1980), S. 168-170 
    Details
    ISSN: 0375-9601
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0375-9601(80)90213-3
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  • 4
    Electronic Resource
    Electronic Resource
    Classical spin clusters: Integrability and dynamical properties (1987)
    [S.l.] : American Institute of Physics (AIP)
    Journal of Applied Physics 61 (1987), S. 4438-4440 
    Details
    ISSN: 1089-7550
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A pair of exchange-coupled classical spins with biaxial exchange and single-site anisotropy represents a Hamiltonian system with two degrees of freedom for which the integrability question is nontrivial. We have found that such a system is completely integrable if the model parameters satisfy a certain condition. For the integrable cases, the second integral of the motion (in addition to the Hamiltonian), which guarantees integrability, is determined explicitly. It can be reconstructed numerically by means of time averages of dynamical variables over all trajectories. In the nonintegrable cases, the existence of the time averages is still guaranteed, but they no longer define an analytic invariant, and their determination is subject to long-time anomalies. Our numerical calculation of time averages for two lines of initial conditions reveals a number of interesting features of such nonanalytic invariants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.338402
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  • 5
    Electronic Resource
    Electronic Resource
    Relativistic consistency of the logarithmic heavy quark model
    Amsterdam : Elsevier
    Physics Letters B 95 (1980), S. 295-298 
    Details
    ISSN: 0370-2693
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://linkinghub.elsevier.com/retrieve/pii/0370-2693(80)90490-6
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  • 6
    Electronic Resource
    Electronic Resource
    Hamiltonian description of the heat conduction (1999)
    Springer
    Heat and mass transfer 34 (1999), S. 453-459 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract It is shown that the linear boundary value problems of the heat conduction in a homogeneous slab can be mapped on the initial value problem for a Hamiltonian motion whose phase-space trajectories are subject to an additional restriction, the “arrival condition”. The physical consequences of this formal analogy for the macroscopic heat conduction are discussed in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310050282
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  • 7
    Electronic Resource
    Electronic Resource
    Exact analytic solutions for free convection boundary layers on a heated vertical plate with lateral mass flux embedded in a saturated porous medium (2000)
    Springer
    Heat and mass transfer 36 (2000), S. 109-116 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract  The problem of the self-similar boundary flow of a “Darcy-Boussinesq fluid” on a vertical plate with temperature distribution T w(x) = T ∞+A·x λ and lateral mass flux v w(x) = a·x (λ−1)/2, embedded in a saturated porous medium is revisited. For the parameter values λ = 1,−1/3 and −1/2 exact analytic solutions are written down and the characteristics of the corresponding boundary layers are discussed as functions of the suction/ injection parameter in detail. The results are compared with the numerical findings of previous authors.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310050372
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  • 8
    Electronic Resource
    Electronic Resource
    Reynolds' analogy for the thermal convection driven by nonisothermal stretching surfaces (2000)
    Springer
    Heat and mass transfer 36 (2000), S. 393-399 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract In the present paper the steady boundary-layer flows induced by permeable stretching surfaces with variable temperature distribution are investigated under the aspect of Reynolds' analogy r = St x /C f(x). It is shown that for certain stretching velocities and wall temperature distributions, “Reynolds' function”r, i.e. the ratio of the local Stanton number St x and the skin friction coefficient C f(x) equals −1/2 for any value of the Prandtl number Pr and of the dimensionless suction/injection velocity f w. In all of these cases, the dimensionless temperature field ϑ is connected to the dimensionless downstream velocity f ′ by the simple relationship ϑ=(f ′)Pr. It is also shown that in the general case, Reynolds' function r may possess several singularities in f w. The largest of them represents a critical value, so that for f w〈f w,crit the solutions of the energy equation (although they still satisfy all the boundary conditions) become nonphysical.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310000094
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  • 9
    Electronic Resource
    Electronic Resource
    Rayleigh's transformation for thermally buoyant flows (1999)
    Springer
    Heat and mass transfer 35 (1999), S. 507-516 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract  Rayleigh's classical transformation t=x/U connecting an unsteady parallel boundary flow to the steady plane Blasius-flow is generalized to t=C·x c and applied to the case of natural convection in the vicinity of a vertical flat plate. The parameters C and c of this “chronotopic transformation” (CTT) are determined self-consistently. It is shown that the analytic expressions obtained in this way for temperature and for the main component of the steady velocity field reproduce the “numerically exact” patterns to a good accuracy. Surprisingly, the transversal component of the steady flow (which in the unsteady flow is entirely missing) can also be generated by CTT with a remarkable precision. Moreover, the CTT is also able to extrapolate unsteady buoyant flows to steady ones with a good performance, even if these belong to a different set of boundary conditions (e.g. time-dependent vs. coordinate-dependent wall temperatures).
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310050355
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  • 10
    Electronic Resource
    Electronic Resource
    Parametric solutions of the eigenvalue equation for a convectively cooled slab (2000)
    Springer
    Heat and mass transfer 36 (2000), S. 213-216 
    Details
    ISSN: 1432-1181
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics , Physics
    Notes: Abstract The convective cooling of a slab by an ambient fluid under the most general linear and homogeneous boundary conditions is considered. For the roots of the corresponding transcendental eigenvalue equation an explicit formula is written down in a parametric form. The practical consequences of this representation, among them certain “singular solutions” which cannot be obtained by a direct numerical treatment of the original eigenvalue equation, are discussed in detail.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/s002310050387
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