Results 81 to 90 of about 582,779 (212)
A note about isothermic surfaces in Rn−j,j
Revista Integración, 2009 In this note we survey our results on the description of ti-melike isothermic surfaces in Rn-j,j using the Grassmannian systems or U/K-systems. We give the natural extensions of the definition of Ribaucour and Darboux transformations for timelike ...
M P Dussan, M A Magid
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Darboux transformations and Darboux coverings: some applications to the KP hierarchy
Matemática Contemporânea, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paolo Casati +4 more
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Darboux Integrals for Schrödinger planar vector fields via Darboux transformations
, 2021 In this paper we study the Darboux transformations of planar vector fields of Schrödinger type. Using the isogaloisian property of Darboux transformation we prove the "invariance" of the elements of the "Darboux Theory of Integrability".
Acosta-Humánez, Primitivo B. +1 more
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Exact Propagators for Soliton Potentials
Symmetry, Integrability and Geometry: Methods and Applications, 2005 Using the method of Darboux transformations (or equivalently supersymmetric quantum mechanics) we obtain an explicit expression for the propagator for the one-dimensional Schrödinger equation with a multi-soliton potential.
Andrey M. Pupasov, Boris F. Samsonov
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Supersymmetry and Darboux transformations
Journal of Physics: Conference Series, 2012 We study supersymmetry and Darboux transformations for generalized Schrodinger equations with a position-dependent mass and with linearly energy-dependent potentials. The formally adjoint generators of supersymmetry and two superpartner Hamiltonians are constructed and they close a quadratic pseudo-superalgebra for our class of equations.
A A Suzko, E Velicheva
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Darboux transformations of spacelike curves in the Lorentz-Minkowski plane
, 2023 This paper concerns (Lorentz-)Darboux transformations in the Lorentz-Minkowski plane $\mathbb{R}^{1,1}$. We use the Penrose diagram for conformal compactification and show some unique properties of Darboux transformations of spacelike curves in $\mathbb ...
Hara, Masaya
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Toda Darboux transformations and vacuum expectation values [PDF]
Determinant formulas for vacuum expectation values $\langle s+k+n-m,-s|e^{H(\mathbf{t})}β_m^{*}\cdotsβ_1^{*}β_n\cdotsβ_1g|k\rangle $ are given by using Toda Darboux transformations.
Wang, Chengwei +2 more
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Bäcklund--Darboux transformations in Sato's Grassmannian
, 1996 13 pages, LaTeX2e, uses amsfonts.sty and latexsym.sty, no ...
Bakalov, B., Horozov, E., Yakimov, M.
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Darboux transformation for the discrete Schrödinger equation
Electronic Journal of Differential Equations, 2018 The discrete Schrödinger equation on a half-line lattice with the Dirichlet boundary condition is considered when the potential is real valued, is summable, and has a finite first moment. The Darboux transformation formulas are derived from first principles showing how the potential and the wavefunction change when a bound state is added to or removed ...
Tuncay Aktosun +2 more
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Darboux transformations and integrable discretisation [PDF]
Within the Lax-Darboux scheme, Darboux transformations provide discretisations of integrable partial differential equations (PDEs) as integrable differential-difference equations (DΔEs).
Peroni, Edoardo
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