Zobrazeno 1 - 10
of 242
pro vyhledávání: '"Liouville integrability"'
Akademický článek
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Autor:
Rong-Wu Lu, Xi-Xiang Xu
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 7, Iss , Pp 100498- (2023)
An one-fold Darboux transformation for the Lotka–Volterra lattice system is first established using a proper gauge transformation matrix. Then, as a result of the N times one-fold Darboux transformation, the corresponding N-fold Darboux transformat
Externí odkaz:
https://doaj.org/article/02b6cd28ed7b41b6b97936cc44aa610e
Autor:
Qiulan Zhao, Muhammad Arham Amin
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100338- (2022)
The rational integrable differential-difference equations are proposed from a different discrete spectral problem. We proved the Liouville integrability of rational integrable differential-difference equations by deriving its bi-Hamiltonian structure
Externí odkaz:
https://doaj.org/article/96e808b8edc644049ea829eedc96fc5d
Autor:
Jaume Giné, Jaume Llibre
Publikováno v:
Electronic Journal of Qualitative Theory of Differential Equations, Vol 2020, Iss 1, Pp 1-16 (2020)
Recently it has been given a criterion for determining the weakly formal Weierstrass non-integrability of polynomial differential systems in $\mathbb{C}^2$. Here we extend this criterion for determining the strongly formal Weierstrass non-integrabili
Externí odkaz:
https://doaj.org/article/43d8a56cb1b44d5eb5d8a2c6564397f8
Autor:
Wen-Xiu Ma
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100190- (2021)
We aim to discuss about how to construct and classify nonlocal PT-symmetric integrable equations via nonlocal group reductions of matrix spectral problems. The nonlocalities considered are reverse-space, reverse-time and reverse-spacetime, each of wh
Externí odkaz:
https://doaj.org/article/1fe9b55b5c294e539dc28d9c7da6659e
Akademický článek
Tento výsledek nelze pro nepřihlášené uživatele zobrazit.
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Autor:
Wen-Xiu Ma
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2205 (2021)
We construct integrable PT-symmetric nonlocal reductions for an integrable hierarchy associated with the special orthogonal Lie algebra so(3,R). The resulting typical nonlocal integrable equations are integrable PT-symmetric nonlocal complex reverse-
Externí odkaz:
https://doaj.org/article/b1de6d20c4564f188a2234d872261ad4
Publikováno v:
Repositorio Abierto de la UdL
Universitad de Lleida
Universitad de Lleida
In this work we study the global analytic integrability, Louville integrability and Puiseux integrability of the Tolman–Oppenheimer–Volkoff equation. The first author is partially supported by a MINECO/ FEDER, Spain Grant Number PID2020-113758GB-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1f4d7a5da9a023a36e7ac76dbef80ee1
https://doi.org/10.1016/j.nonrwa.2022.103715
https://doi.org/10.1016/j.nonrwa.2022.103715
In this work the algebraic characterization of the Darboux, Liouville, and Puiseux first integrals of the vocal fold model is given. The multiple Puiseux solutions, also defined in Puiseux integrability, are studied for the first time. The first auth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4c248d75017682a07194bc20f1dd05f
https://repositori.udl.cat/handle/10459.1/463173
https://repositori.udl.cat/handle/10459.1/463173
Publikováno v:
Regular and Chaotic Dynamics, 26(6), 732-741. MAIK NAUKA/INTERPERIODICA/SPRINGER
We show that every parabolic orbit of a two-degree-of-freedom integrable system admits a $$C^{\infty}$$-smooth Hamiltoniancircle action, which is persistent under small integrable $$C^{\infty}$$ perturbations.We deduce from this result the structural
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d90e67cea216fd33973d545e751fb59
https://doi.org/10.1134/s1560354721060101
https://doi.org/10.1134/s1560354721060101