Zobrazeno 1 - 10
of 116
pro vyhledávání: '"Jean Avan"'
Publikováno v:
SciPost Physics, Vol 15, Iss 6, p 228 (2023)
We provide a closed Poisson algebra involving the Ragnisco-Bruschi generalization of peakon dynamics in the Camassa-Holm shallow-water equation. This algebra is generated by three independent matrices. From this presentation, we propose a one-paramet
Externí odkaz:
https://doaj.org/article/be792dc27aaf4160b2738849d6cd3711
Publikováno v:
Nuclear Physics B, Vol 902, Iss C, Pp 415-439 (2016)
We define and illustrate the novel notion of dual integrable hierarchies, on the example of the nonlinear Schrödinger (NLS) hierarchy. For each integrable nonlinear evolution equation (NLEE) in the hierarchy, dual integrable structures are character
Externí odkaz:
https://doaj.org/article/620e26c95dd04aff80c429b6b754558e
Publikováno v:
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$. They obey a modified classical
Externí odkaz:
https://doaj.org/article/1e93a3b417004278a9fb1e095197264a
Publikováno v:
SciPost Physics, Vol 6, Iss 5, p 054 (2019)
We construct $q$-deformations of quantum $\mathcal{W}_N$ algebras with elliptic structure functions. Their spin $k+1$ generators are built from $2k$ products of the Lax matrix generators of ${\mathcal{A}_{q,p}(\widehat{gl}(N)_c)}$). The closure of
Externí odkaz:
https://doaj.org/article/f086d11711de432b9c864cf5a7e996d7
Publikováno v:
SIGMA
SIGMA, 2020, 16, pp.094. ⟨10.3842/SIGMA.2020.094⟩
SIGMA, 2020, 16, pp.094. ⟨10.3842/SIGMA.2020.094⟩
International audience; We present a systematic derivation of the abelianity conditions for the $q$-deformed $W$-algebras constructed from the elliptic quantum algebra $\mathcal{A}_{q,p}\big(\widehat{\mathfrak{gl}}(N)_{c}\big)$. We identify two sets
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5360b2d092e908eb9a486556ca260bd0
http://arxiv.org/abs/2005.03579
http://arxiv.org/abs/2005.03579
Publikováno v:
SciPost Phys.
SciPost Phys., 2020, 8, pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics
SciPost Physics, SciPost Foundation, 2020, 8 (3), pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
SciPost Phys., 2020, 8, pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics
SciPost Physics, SciPost Foundation, 2020, 8 (3), pp.033. ⟨10.21468/SciPostPhys.8.3.033⟩
SciPost Physics, Vol 8, Iss 3, p 033 (2020)
The algebraic structure underlying the classical $r$-matrix formulation of the complex sine-Gordon model is fully elucidated. It is characterized by two matrices $a$ and $s$, components of the $r$ matrix as $r=a-s$. They obey a modified classical ref
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::15b4342206aafb81019fcfa738fdc28f
https://hal.archives-ouvertes.fr/hal-02423742
https://hal.archives-ouvertes.fr/hal-02423742
Autor:
Vincent Caudrelier, Jean Avan
Publikováno v:
J.Geom.Phys.
J.Geom.Phys., 2017, 120, pp.106-128. ⟨10.1016/j.geomphys.2017.05.010⟩
J.Geom.Phys., 2017, 120, pp.106-128. 〈10.1016/j.geomphys.2017.05.010〉
J.Geom.Phys., 2017, 120, pp.106-128. ⟨10.1016/j.geomphys.2017.05.010⟩
J.Geom.Phys., 2017, 120, pp.106-128. 〈10.1016/j.geomphys.2017.05.010〉
We establish the algebraic origin of the following observations made previously by the authors and coworkers: (i) A given integrable PDE in $1+1$ dimensions within the Zakharov-Shabat scheme related to a Lax pair can be cast in two distinct, dual Ham
Publikováno v:
Communications in Mathematical Physics
Communications in Mathematical Physics, Springer Verlag, 2017, 254, pp.753. ⟨10.1007/s00220-017-2909-7⟩
Communications in Mathematical Physics, Springer Verlag, 2017, 254, pp.753. ⟨10.1007/s00220-017-2909-7⟩
We revisit the construction of deformed Virasoro algebras from elliptic quantum algebras of vertex type, generalizing the bilinear trace procedure proposed in the 90's. It allows us to make contact with the vertex operator techniques that were introd
Autor:
Jean Avan, Eric Ragoucy
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 079 (2012)
We compute the full expression of the second Poisson bracket structure for N=2 and N=3 site rational classical Calogero-Moser model. We propose an r-matrix formulation for N=2. It is identified with the classical limit of the second dynamical boundar
Externí odkaz:
https://doaj.org/article/5375fe61d79d44d7b308fc5e8c6d934b
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 8, p 064 (2012)
A complete classification of non-affine dynamical quantum $R$-matrices obeying the $Gl_n(C)$-Gervais-Neveu-Felder equation is obtained without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are observed. It is show
Externí odkaz:
https://doaj.org/article/7e5564cf4dc74714b5286806d1f733f9