Darboux Transformations
Darboux Transformations and Fay Identities of the Extended Bigraded Toda Hierarchy.
... In this thesis, we proved a bilinear equation for the extended bigraded Toda hierarchy (EBTH), which is equivalent to the bilinear equation of Carlet and van de Leur [18] after a change of variables but uses Takasaki’s ...
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Darboux transformations with tetrahedral reduction group and related integrable systems
... (other finite reduction groups result in the same set of automorphic Lie algebras). The Lax structures and integrable partial differential equations, corresponding to automorphic Lie algebras, have been studied in [1 – ...
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Darboux transformations and Recursion operators for differential--difference equations
... from Darboux transfor- mations are really Nijenhuis recursion operators for the equations obtained from the corresponding Lax ...from Darboux transformations invariant under reduction groups are ...
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Shifted Darboux transformations of the generalized Jacobi matrices, I
... shifted Darboux transforma- tion of generalized Jacobi matrices, namely, the transformation without parameter is ...shifted Darboux transformation will be applied to the indefinite Stieltjes moment ...
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Yang-Baxter maps and finite reduction groups with degenerated orbits
... Equations like the Lax-equation (9) are being met quite often in the area of integrable systems as, for instance, in the case of the Darboux transformations, where it represents the compatibility condition ...
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Darboux transformation and perturbation of linear functionals
... a Darboux transformation to the monic Jac- obi matrix associated with ...of Darboux transformations and Darboux transformations without parameter in order to obtain the monic Jacobi ...
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Darboux transformation and perturbation of linear functionals
... canonical transformations of this functional are stud- ied: xL, L + Cδ(x) and 1 x L + Cδ(x) where δ(x) denotes the linear functional (δ(x))(x k ) = δ k,0 , and δ k,0 is the Kronecker ...and Darboux ...
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Grassmann extensions of Yang-Baxter maps
... The Yang-Baxter (YB) equation has a fundamental role in the theory of quantum and classical integrable systems. In particular, the set-theoretical solutions of the YB equation, have been of great interest for several ...
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On the Christoffel–Darboux formula for generalized matrix orthogonal polynomials
... One of the approaches to the classical integrable systems comes from the use of infinite dimensional Lie groups, that has its roots in the works of M. Sato [17], M. Mulase [16], and the profound analysis of the Toda ...
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Darboux–Bäcklund transformations, dressing & impurities in multi-component NLS
... continuous generalised NLS in [20]. Here we generalise the study of the discrete vector NLS, and then we also consider the continuous vector NLS model. In the continuous case we mainly focus on the time evolution ...
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Transformations PowerPoint.ppt
... A rotation is a transformation that turns a figure about a fixed point called the center of rotation. An object and its rotation are the same shape and size ,. but the figures may b[r] ...
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Measurement & Transformations
... In general, however, measurement of the underlying quantitative dimension is preferred to rank- ordering observations because the resulting scale has greater statistical power than the o[r] ...
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Transformations in the pipeline
... Transformations in the pipeline Modeling transformation Viewing transformation Projection transformation Perspective division Viewport transformation OCS WCS VCS[r] ...
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Business Transformations
... As one of the few law firms with dedicated local and international Reorganizations practices, we are in a unique position to assist companies in planning and implementing business transformation projects. Our attorneys, ...
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Funding transformations
... to manage and underwrite a loan pool has challenged loan-pool proponents in Kansas City, said Michael Duffy, a senior attorney for Legal Aid of Western Missouri, who also sits on the[r] ...
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On mental transformations
... Cumulative Prospect Theory Kahneman, Tversky, 1979, 1992 presupposes a value function to account for risk aversion for gain prospects and risk seeking for loss prospects, as well as a ge[r] ...
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On Mental Transformations
... mental transformations such as Prospect Scaling (resulting from Focused Atten" tion) and Logarithmic Perception of Financial Stimuli should be considered when ana" lyzing the experimental ...
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N Fold Darboux transformation of the discrete Ragnisco–Tu system
... and Darboux transformation techniques [15, 16], the Fokas uni- fied approach [17], the long-time asymptotics approach [18], and so ...the Darboux transformation is the most effective technique to find explicit ...
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N Fold Darboux Transformation for a Nonlinear Evolution Equation
... N-fold Darboux transformation, coeffi- cients of this matrix can be obtained from a algebraic system and expressed with rank-2N ...The Darboux transformation gives the relationship ...
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N Fold Darboux Transformation of the Jaulent Miodek Equation
... using Darboux transformation (DT), which is an ef- fective method to get exact solutions from the trivial solutions of the nonlinear partial differential equations based on the Lax pairs ...
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