Zobrazeno 1 - 10
of 243
pro vyhledávání: '"DA-JUN ZHANG"'
Publikováno v:
Symmetry, Vol 16, Iss 6, p 744 (2024)
In the paper, we describe a method for deriving generalized symmetries for a generic discrete quadrilateral equation that allows a Lax pair. Its symmetry can be interpreted as a flow along the tangent direction of its solution evolving with a Lie gro
Externí odkaz:
https://doaj.org/article/1190bcc33ce94e7da45266753d01a4c4
Publikováno v:
Open Communications in Nonlinear Mathematical Physics, Vol Volume 3 (2023)
In this paper we develop a bilinearisation-reduction approach to derive solutions to the classical and nonlocal nonlinear Schr\"{o}dinger (NLS) equations with nonzero backgrounds. We start from the second order Ablowitz-Kaup-Newell-Segur coupled equa
Externí odkaz:
https://doaj.org/article/09ac624191b64a20a627aa0d366095c3
Autor:
Da-jun Zhang
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 5, Iss , Pp 100362- (2022)
In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable. The review focuses more on connections of these three kinds of equations and connec
Externí odkaz:
https://doaj.org/article/c66bca4a292c4535854dbb253aa09d87
Publikováno v:
Symmetry, Vol 14, Iss 11, p 2259 (2022)
In this paper, we present new Hamiltonian operators for the integrable couplings of the Ablowitz–Kaup–Newell–Segur hierarchy and the Kaup–Newell hierarchy. The corresponding Hamiltonians allow nontrivial degeneration. Multi-Hamiltonian struct
Externí odkaz:
https://doaj.org/article/31301345f4f84eb8afad5219a28902e2
Publikováno v:
Advances in Difference Equations, Vol 2019, Iss 1, Pp 1-12 (2019)
Abstract In this paper, we derive seed and 1-soliton solutions of the Q2 equation in the Adler–Bobenko–Suris list. The seed solutions of Q2 are obtained using those of Q1(δ) $\mbox{Q}1(\delta)$ and an non-auto Bäcklund transformation connecting
Externí odkaz:
https://doaj.org/article/23a633c1978b412fb57fb86f65d392b4
Publikováno v:
Cellular Physiology and Biochemistry, Vol 41, Iss 6, Pp 2307-2318 (2017)
Background/Aims: This study aimed to investigate the anti-inflammatory activity of Berbamine (BER), a bisbenzylisoquinoline alkaloid extracted from Berberis amurensis (Xiao Bo An), and the underlying mechanisms. Methods: Macrophages and neutrophils w
Externí odkaz:
https://doaj.org/article/637391204e024d34945cd67889699317
Autor:
Da-Jun Zhang, Wen-Fang Sun, Zhao-Jin Zhong, Rong-Mei Gao, Hong Yi, Yu-Huan Li, Zong-Gen Peng, Zhuo-Rong Li
Publikováno v:
Molecules, Vol 19, Iss 1, Pp 925-939 (2014)
A series of novel unsaturated five-membered benzo-heterocyclic amine derivatives were synthesized and assayed to determine their in vitro broad-spectrum antiviral activities. The biological results showed that most of our synthesized compounds exhibi
Externí odkaz:
https://doaj.org/article/3c9910e844af4218b4e5c2c3d9b06fa2
Autor:
Jarmo Hietarinta, Da-jun Zhang
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 061 (2011)
Integrable multi-component lattice equations of the Boussinesq family have been known for some time. Recently some new equations of this type were found using the Consistency-Around-the-Cube approach. Here we investigate one of these models, B-2, and
Externí odkaz:
https://doaj.org/article/f8e471e26f8f4165885cd85d0d62fc36
Autor:
Ying Shi, Da-jun Zhang
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 7, p 046 (2011)
In the paper we present rational solutions for the H3 and Q1 models in the Adler-Bobenko-Suris lattice list. These solutions are in Casoratian form and are generated by considering difference equation sets satisfied by the basic Casoratian column vec
Externí odkaz:
https://doaj.org/article/fcea4fea48614273b6b26ba2471e1390
Autor:
Guesh Yfter Tela, Da-jun Zhang
Publikováno v:
Reports on Mathematical Physics. 91:219-235
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a9569b27d90da476f34ffbc5461aecaf
https://doi.org/10.1016/s0034-4877(23)00026-5
https://doi.org/10.1016/s0034-4877(23)00026-5