Results 121 to 130 of about 2,294,985 (248)
On integrable reductions of two-dimensional Toda-type lattices
Partial Differential Equations in Applied MathematicsThe article considers lattices of the two-dimensional Toda type, which can be interpreted as dressing chains for spatially two-dimensional generalizations of equations of the nonlinear Schrödinger type.
I.T. Habibullin, A.U. Sakieva
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Darboux transformations and random point processes
, 2014 In this paper we describe a general method to derive formulas relating the gap probability of some classical determinantal random point process (Airy, Pearcey and Hermite) with the gap probability of the processes related to the same kernels with "wanderers", "inliers" and "outliers".
Bertola, M., Cafasso, M.
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation.
Aristophanes Dimakis +1 more
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One-parameter Darboux Transformations in Thermodynamics [PDF]
AIP Conference Proceedings, 2002 6 pages, contribution at the AIP 1st International Conference on Quantum Limits to the Second Law, San Diego, CA, (main organizer: D.P.
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Results in PhysicsNonlinear wave phenomena have attracted considerable attention since the discovery of solitons by Zabusky and Kruskal. These phenomena play an important role in various areas of science and are described by nonlinear partial differential equations. Among
Meruyert Zhassybayeva +3 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2013 Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation.
Kenichi Kondo
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Coherent Schwinger interaction from Darboux transformation [PDF]
Journal of Surface Investigation. X-ray, Synchrotron and Neutron Techniques, 2009 The exactly solvable scalar-tensor potential of the four-component Dirac equation has been obtained by the Darboux transformation method. The constructed potential has been interpreted in terms of nucleon-nucleon and Schwinger interactions of neutral particles with lattice sites during their channeling Hamiltonians of a Schwinger type is obtained by ...
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The Delsarte-Darboux type binary transformations, their differential-geometric and operator structure with applications. Part 1 [PDF]
Opuscula Mathematica, 2006 The structure properties of multidimensional Delsarte-Darboux transmutation operators in parametric functional spaces are studied by means of differential-geometric and topological tools.
Yarema A. Prykarpatsky +1 more
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Old and New Reductions of Dispersionless Toda Hierarchy
Symmetry, Integrability and Geometry: Methods and Applications, 2012 This paper is focused on geometric aspects of two particular types of finite-variable reductions in the dispersionless Toda hierarchy. The reductions are formulated in terms of ''Landau-Ginzburg potentials'' that play the role of reduced Lax functions ...
Kanehisa Takasaki
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European Physical Journal C: Particles and FieldsWe analyze the dynamics of Dirac fermions in graphene set within Beltrami spacetime, characterized by a negative curvature. This research investigates how both curvature and external electromagnetic fields influence electron motion, particularly in terms
Ikram Imane Kouachi, Özlem Yeşiltaş
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