Zobrazeno 1 - 9
of 9
pro vyhledávání: '"G. V. Lobo"'
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Proceedings: OCNMP... (2024)
The 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 integr
Externí odkaz:
https://doaj.org/article/33073215922e4ba098bb7e5eaa96bb1e
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Proceedings: OCNMP... (2024)
We present a construction of a class of rational solutions of the Painlev\'e V equation that exhibit a two-fold degeneracy, meaning that there exist two distinct solutions that share identical parameters. The fundamental object of our study is the o
Externí odkaz:
https://doaj.org/article/4020e71b620b42ddb1215e9b989d8b12
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 3 (2023)
We show how the zero-curvature equations based on a loop algebra of $D_4$ with a principal gradation reduce via self-similarity limit to a polynomial Hamiltonian system of coupled Painlev\'e III models with four canonical variables and $D_4^{(1)}$ af
Externí odkaz:
https://doaj.org/article/4e18c1acd0494251ae7f56a4ac78d164
Publikováno v:
J. Phys. A54, (2021),435201
The construction of Miura and B\"acklund transformations for $A_n$ mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation. As in the well known $sl(2)$ case, we derive and relate the equ
Externí odkaz:
http://arxiv.org/abs/2106.00741
A systematic construction of a class of integrable hierarchy is discussed in terms of the twisted affine $A_{2r}^{(2)}$ Lie algebra. The zero curvature representation of the time evolution equations are shown to be classified according to its algebra
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e106b794c3467024e992cad669ea64d
http://arxiv.org/abs/2206.02018
http://arxiv.org/abs/2206.02018
Publikováno v:
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
The construction of Miura and B\"acklund transformations for $A_n$ mKdV and KdV hierarchies are presented in terms of gauge transformations acting upon the zero curvature representation. As in the well known $sl(2)$ case, we derive and relate the equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75da475673a383f90163f49d6d124139
http://arxiv.org/abs/2106.00741
http://arxiv.org/abs/2106.00741
Publikováno v:
Scopus
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
Repositório Institucional da UNESP
Universidade Estadual Paulista (UNESP)
instacron:UNESP
The construction of generalized Backlund transformation for the $A_n$ Affine Toda hierarchy is proposed in terms of gauge transformation acting on the zero curvature representation. Such construction is based upon the graded structure of the underlyi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e47a8b358759cac73802e0e1160150f3
Autor:
G V, Lobo
Publikováno v:
Medical service. 38(6)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=pmid________::adfc2b564a469fdf07ac2a04e1c44af1
https://pubmed.ncbi.nlm.nih.gov/10254588
https://pubmed.ncbi.nlm.nih.gov/10254588
Publikováno v:
SciPost Physics Proceedings, Iss 14, p 014 (2023)
The construction of negative grade KdV hierarchy is proposed in terms of a Miura-gauge transformation. Such gauge transformation is employed within the zero curvature representation and maps the Lax operator of the mKdV into its couterpart within the
Externí odkaz:
https://doaj.org/article/5d0afbb933e142f19bd3f1783e3f96b5