Results 91 to 100 of about 1,134 (216)
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 transformation of the generalized coupled dispersionless integrable system
, 2009 The Darboux transformation on matrix solutions to the generalized coupled dispersionless integrable system based on a non-Abelian Lie group is studied, and the solutions are shown to be expressed in terms of quasideterminants. As an explicit example, the
Hassan, M.
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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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Iterated Darboux Transformation for Isothermic Surfaces in Terms of Clifford Numbers
, 2021 Isothermic surfaces are defined as immersions with the curvture lines admitting conformal parameterization. We present and discuss the reconstruction of the iterated Darboux transformation using Clifford numbers instead of matrices.
Jan L. Cieśliński, Zbigniew Hasiewicz
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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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A COMMENT ON THE DARBOUX TRANSFORMATION [PDF]
, 2004 . It is known that the Darboux transformation (DT) allows us to construct isospectral potentials in the frame of the Schrödinger equation.
Mexico) M A Acevedo +5 more
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Integral transformation and Darboux transformation
, 2009 We review Darboux-Crum transformation of Heun's differential equation. By rewriting an integral transformation of Heun's differential equation into a form of elliptic functions, we see that the integral representation is a generalization of Darboux-Crum transformation. We also consider conservation of monodromy with respect to the transformations.
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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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Rogue Wave Solutions to Integrable System by Darboux Transformation
, 2014 The Darboux transformation is one of the main techniques for finding solutions of integrable equations. The Darboux transformation is not only powerful in the construction of muilti-soliton solutions, recently, it is found that the Darboux transformation,
Kou, Xin
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Discrete Darboux transformation for discrete polynomials of hypergeometric type
, 1998 The Darboux transformation, well known in second-order differential operator theory, is applied to the difference equations satisfied by the discrete hypergeometric polynomials (Charlier, Meixner-Kravchuk, Hahn)
Bangerezako, G
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