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  • Solitons in normal Fermi liquid 
    Peradze, G.M.; Tsintsadze, N.L. (Физика низких температур, 2019)
    To be based on the new quantum kinetic equation of Fermi particles, which recently was derived by N.L. Tsintsadze and L.N. Tsintsadze, a general quantum dispersion equation for almost ideal Fermi gas is derived and studied ...
  • Soliton states in mesoscopic two-band-superconducting cylinders 
    Kuplevakhsky, S.V.; Omelyanchouk, A.N.; Yerin, Y.S. (Физика низких температур, 2011)
    In the framework of the Ginzburg-Landau approach, we present a self-consistent theory of specific soliton states in mesoscopic (thin-walled) two-band-superconducting cylinders in external parallel magnetic fields. Such ...
  • Soliton Taxonomy for a Modification of the Lattice Boussinesq Equation 
    Hietarinta, J.; Zhang, D. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate ...
  • Soliton trains in dispersive media 
    Engelbrecht, J.; Peets, T.; Tamm, K. (Физика низких температур, 2018)
    In this paper two Boussinesq-type mathematical models are described which lead to solitonic solutions. One case corresponds to microstructured solids, another case to biomembranes. The emergence of soliton trains in both ...
  • Soliton transmission through disordered system 
    Kovalev, A.S.; Prilepsky, J.E.; Gredeskul, S.A.; Derevyanko, S.A. (Физика низких температур, 2008)
    An exact formula for the transmission time in the disordered nonlinear soliton-bearing classical one-dimensional system is obtained.
  • Solliton-like order parameter distributions in the critical region 
    Babich, A.V.; Berezovsky, S.V.; Klepikov, V.F.; Sereda, Yu.V. (Condensed Matter Physics, 2006)
    Some exact one-component order parameter distributions for the Michelson thermodynamic potential are obtained. The phase transition of second kind in Ginzburg-Landau type model is investigated. The exact partial distribution ...
  • Soluble model of Bose-atoms with two level internal structure: non-conventional Bose-Einstein condensation 
    Corgini, M.; Sankovich, D.P. (Condensed Matter Physics, 2010)
    For a Bose atom system whose energy operator is diagonal in the so-called number operators and its ground state has an internal two-level structure with negative energies, exact expressions for the limit free canonical ...
  • Solution Counting for CSP and SAT with Large Tree-Width 
    Favier, A.; de Givry, S.; Jégou, P. (Управляющие системы и машины, 2011)
    Рассмотрена проблема подсчета количества решений задачи совместимости ограничений (Constraint Satisfaction Problem). Для ее решения был адаптирован метод обратного прослеживания с ацикличным представлением графа ограничений ...
  • Solution of Earth orientation parameters in the frame of new Earth orientation Catalogue 
    Vondrak, J.; Ron, C. (Кинематика и физика небесных тел, 2005)
    The new Earth Orientation Catalogue was recently derived, based mostly on the ARIHIP and Tycho-2 Catalogues that were combined with ground-based optical observations of latitude and Universal Time variations in the 20th ...
  • Solution of Kompaneets equation for shock front in the medium with spherical density stratification 
    Donets, G.V. (Вопросы атомной науки и техники, 2015)
    Based on the solution of the Kompaneets equation for the shock front in a plane-stratified medium with density changing as the hyperbolic tangent, an exact solution for the off-center explosion in a medium with a spherical ...
  • Solution of Kronecker Product Initial Value Problems Associated with First Order Difference System via Tensor— based Hardness of the Shortest Vector Problem 
    Murty, K.N.; Balaram, V.V.S.S.S.; Viswanadh, K. (Электронное моделирование, 2008)
    This paper presents criteria for the existence and uniqueness of solution to Kronecker product initial value problem associated with general first order matrix difference system. A modified least square method and a modified ...
  • Solution of systems of partial differential equations by using properties of monogenic functions on commutative algebras 
    Kolomiiets, T.; Pogorui, A.; Rodriguez-Dagnino, R.M. (Український математичний вісник, 2018)
    Some systems of differential equations with partial derivatives are studied by using the properties of Gateaux differentiable functions on commutative algebras. The connection between solutions of systems of partial ...
  • Solution of the First-Passage Problem by Advanced Monte Carlo Simulation Technique 
    Labou, M. (Проблемы прочности, 2003)
    A selective Monte Carlo simulation procedure for the evaluation of the reliability of nonlinear structures subjected to dynamic loading is presented. The proposed “Russian Roulette and Splitting” procedure allows ...
  • Solution of the Structural Optimization Problem of a Multiagent Approach Based Cutter Design 
    Anosov, V.L.; Bohdanova, L.M.; Kolodyazhnyi, V.M.; Litovka, V.D. (Проблеми машинобудування, 2019)
    This article proposes a decision support system project to find the optimal milling cutter design. At the preliminary design stage, morphological analysis is used. It allows us to find and systematize all possible milling ...
  • Solutions Classification to the Extended Reduced Ostrovsky Equation 
    Stepanyants, Y.A. (Symmetry, Integrability and Geometry: Methods and Applications, 2008)
    An alternative to the Parkes' approach [SIGMA 4 (2008), 053, 17 pages] is suggested for the solutions categorization to the extended reduced Ostrovsky equation (the exROE in Parkes' terminology). The approach is based on ...
  • Solutions like excitations in the one-dimensional electrical transmission line 
    Pelap, F.B.; Faye, M.M. (Нелінійні коливання, 2005)
    Dynamics of modulated waves are studied in the one-dimensional discrete nonlinear electrical transmission line. Contribution of the linear dispersive capacitance is appreciated and it is shown via a reductive perturbation ...
  • Solutions of Helmholtz and Schrödinger Equations with Side Condition and Nonregular Separation of Variables 
    Broadbridge, P.; Chanu, C.M.; Miller Jr., Willard (Symmetry, Integrability and Geometry: Methods and Applications, 2012)
    Olver and Rosenau studied group-invariant solutions of (generally nonlinear) partial differential equations through the imposition of a side condition. We apply a similar idea to the special case of finite-dimensional ...
  • Solutions of Nonlinear Schrödinger Equation with Two Potential Wells in Linear/Nonlinear Media 
    Gerasimchuk, V.S.; Gerasimchuk, I.V.; Dranik, N.I. (Журнал математической физики, анализа, геометрии, 2016)
    In the framework of nonlinear Schrödinger equation, we analytically studied the nonlinear localized states in the system with two potential holes in the cases of linear and nonlinear media in the holes as well as their ...
  • Solutions of some partial differential equations with variable coefficients by properties of monogenic functions 
    Pogorui, A.A.; Rodriguez-Dagnino, R.M. (Український математичний вісник, 2016)
    In this paper we study some partial differential equations by using properties of Gateaux differentiable functions on commutative algebra. It is proved that components of differentiable functions satisfy some partial ...
  • Solutions of the BBGKY hierarchy for a system of hard spheres with inelastic collisions 
    Petrina, D.Ya.; Caraffini, G.L. (Український математичний журнал, 2006)
    The problem of the existence of solutions of the hierarchy for the sequence of correlation functions is investigated in the direct sum of spaces of summable functions. We prove the existence and uniqueness of solutions, ...