Lie-Poisson groups and the Miura transformation [PDF]
Modern Physics Letters A, 1995 We point out that the recent proof of the Kupershmidt-Wilson theorem by Cheng and Mas-Ramos is underpinned by the Lie-Poisson property of the second Gel'fand-Dickey bracket.
Figueroa-O'Farrill, JM, Stanciu, S
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Notes on $WGL_n$-Algebras and Quantum Miura Transformation [PDF]
International Journal of Modern Physics A, 1993 We start from the quantum Miura transformation [7] for the $W$-algebra associated with $GL(n)$ group and find an evident formula for quantum L-operator as well as for the action of $W_l$ currents (l=1,..,n) on elements of the completely degenerated n ...
Pugay, Ya. P.
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Miura Transformation between two Non-Linear Equations in 2+1 dimensions [PDF]
Journal of Mathematical Physics, 1998 A Dispersive Wave Equation in 2+1 dimensions (2LDW) widely discussed by different authors is shown to be nothing but the modified version of the Generalized Dispersive Wave Equation (GLDW).
J. M. Cerveró +3 more
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Toda Fields on Riemann Surfaces: remarks on the Miura transformation [PDF]
Letters in Mathematical Physics, 1995 We point out that the Miura transformation is related to a holomorphic foliation in a relative flag manifold over a Riemann Surface. Certain differential operators corresponding to a free field description of $W$--algebras are thus interpreted as partial
A. Bilal +13 more
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The Constrained KP Hierarchy and the Generalised Miura Transformation [PDF]
Physics Letters B, 1995 Recently much attention has been paid to the restriction of KP to the submanifold of operators which can be represented as a ratio of two purely differential operators L=AB^{-1}. Whereas most of the aspects concerning this reduced hierarchy, like the Lax
Aratyn +20 more
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SKdV, SmKdV flows and their supersymmetric gauge-Miura transformations [PDF]
Open Communications in Nonlinear Mathematical PhysicsThe construction of Integrable Hierarchies in terms of zero curvature representation provides a systematic construction for a series of integrable non-linear evolution equations (flows) which shares a common affine Lie algebraic structure. The integrable
Y. F. Adans +4 more
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Miura transformation for the “good” Boussinesq equation
Studies in Applied Mathematics, 2023 AbstractIt is well known that each solution of the modified Korteveg–de Vries (mKdV) equation gives rise, via the Miura transformation, to a solution of the Korteveg–de Vries (KdV) equation. In this work, we show that a similar Miura‐type transformation exists also for the “good” Boussinesq equation. This transformation maps solutions of a second‐order
Charlier, Christophe, Lenells, J.
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A bilinear approach to discrete Miura transformations [PDF]
Physics Letters A, 1998 7 pages in TeX, to appear in Phys.
Joshi, N., Ramani, A., Grammaticos, B.
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Gauge Miura and Bäcklund transformations for generalized A n -KdV hierarchies [PDF]
Journal of Physics A: Mathematical and Theoretical, 2021 Latex 18 pages, corrections and improvements in the ...
J M de Carvalho Ferreira +3 more
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On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
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