Results 101 to 110 of about 1,595,275 (210)

Fractional Darboux Transformations

, 2002
In this paper we utilize the covariance of Ricatti equation with respect to linear fractional transformations to define classes of conformally equivalent second order differential equations. This motivates then the introduction of fractional Darboux transformations which can be recognized also as generalized Cole-Hopf transformations.
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Bäcklund Transformations for the Trigonometric Gaudin Magnet

Symmetry, Integrability and Geometry: Methods and Applications, 2010
We construct a Bäcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality ...
Federico Zullo, Orlando Ragnisco
doaj   +1 more source

Modulation Instability, Breathers, and Bound Solitons in an Erbium-Doped Fiber System with Higher-Order Effects

Abstract and Applied Analysis, 2014
We mainly investigate the generalized nonlinear Schrödinger-Maxwell-Bloch system which governs the propagation of optical solitons in nonlinear erbium-doped fibers with higher-order effects.
Rui Guo, Hui-Qin Hao, Xiao-Song Gu
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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, Caltenco, J. H., J H Caltenco, Acevedo, M. A., J López Bonilla, López Bonilla, J.   +5 more
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Darboux transformation for the discrete Schrodinger equation

Electronic Journal of Differential Equations, 2019
The discrete Schrodinger 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.
Tuncay Aktosun, Abdon E. Choque-Rivero, Vassilis G. Papanicolaou   +2 more
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Higher-order Darboux transformations with foreign auxiliary equations and equivalence with generalized Darboux transformations

Applied Mathematics Letters, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Darboux dönüşümü

, 2004
Bu çalışmanın amacı; Darboux dönüşUmUnün analitik olarak çözülemeyen sistemlere genelleştirilmesi ve uygulanmasıdır. Bu sistemler, Darboux dönüşümü sayesinde çözülebilir hale getirilmiştir.
NURETTİN KÖRÖZLÜ
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The m-component super KP hierarchy in Kac-van de Leur version

Physics Letters B
In this paper, the m-component super KP hierarchy in form of free superfermions is constructed by Clifford superalgebra. The super bosonic counterpart of this hierarchy is described by using the vertex operators.
Huizhan Chen
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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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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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