Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Baiying He"'
Autor:
Baiying He, Siyu Gao
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 27361-27387 (2024)
We construct the generalized Lie algebras $ \mathfrak{sp}(4) $, $ \mathfrak{so}(5) $, and $ \mathfrak{so}(3, 2) $, and derive three kinds of (1+1)-dimensional nonisospectral integrable hierarchies. Moreover, we obtain their Hamiltonian structures. Fi
Externí odkaz:
https://doaj.org/article/e792016b5aed49c8b576dc94006aee92
Publikováno v:
Advances in Mathematical Physics, Vol 2015 (2015)
Based on the six-dimensional real special orthogonal Lie algebra SO(4), a new Lax integrable hierarchy is obtained by constructing an isospectral problem. Furthermore, we construct bi-integrable couplings for this hierarchy from the enlarged matrix s
Externí odkaz:
https://doaj.org/article/6b74a4abbbd04e23bf93042f6b911dd8
Autor:
Haifeng Wang, Baiying He
Publikováno v:
Chaos, Solitons & Fractals. 171:113443
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d0a09298d7406fec118aba8169afb2cd
https://doi.org/10.1016/j.chaos.2023.113443
https://doi.org/10.1016/j.chaos.2023.113443
Autor:
Haifeng Wang, Baiying He
Publikováno v:
Chaos, Solitons & Fractals. 168:113145
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::43272825dd3a5678394ca5c50fa92fe8
https://doi.org/10.1016/j.chaos.2023.113145
https://doi.org/10.1016/j.chaos.2023.113145
Autor:
Baiying He, Liangyun Chen
Publikováno v:
Reports on Mathematical Physics. 83:49-60
By using the Lie superalgebra B(0, n ), we give a Cartan matrix of affine Lie superalgebra B(0, n)(1), and the relations of their generators. We also give an example of super AKNS hierarchy associated with B(0, n). As an application of affine Lie sup
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f57214bf14db8a3a4b54916b7fa960d7
https://doi.org/10.1016/s0034-4877(19)30022-9
https://doi.org/10.1016/s0034-4877(19)30022-9
Autor:
Baiying He, Lili Ma
Publikováno v:
Mathematica Æterna, Vol 6, Iss 4, Pp 623-629 (2016)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doajarticles::fc3410dfb0c5753e45f38f08ee2eda55
http://e-hilaris.com/MA/2016/MA6_4_18.pdf
http://e-hilaris.com/MA/2016/MA6_4_18.pdf
Publikováno v:
Applied Mathematics and Computation. 370:124867
Based on the Lie superalgebras osp(2|2) and spo(2|2), we generate some new super soliton hierarchies. These hierarchies can reduce to the AKNS hierarchy and the super-AKNS hierarchy. And by using the supertrace identity on Lie superalgebras, we const
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36a5c6ff8d13528fe6733463ddb65988
https://doi.org/10.1016/j.amc.2019.124867
https://doi.org/10.1016/j.amc.2019.124867
Autor:
Liangyun Chen, Baiying He
Publikováno v:
Applied Mathematics and Computation. 244:261-273
Based on the Lie algebra gl ( 2 ) , taking a kind of corresponding loop algebra gl ( 2 ) ∼ , a new Lax integrable hierarchy can be obtained. Then, by means of the quadratic-form identity, the corresponding bi-Hamiltonian structure was worked out. E
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2fc10855c8411ea3410f7a77bf7846ce
https://doi.org/10.1016/j.amc.2014.07.006
https://doi.org/10.1016/j.amc.2014.07.006
Autor:
Hui Chang, Baiying He
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 14:3274-3281
With the help of the known Lie algebra G1 and a new Lie algebra G2, the two different isospectral problem are designed. Making use of the zero curvature equation and the tri-trace identity, the two generalized AKNS hierarchies and their Hamiltonian s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09567bc28e6c1141197804a36d3ed6b0
https://doi.org/10.1016/j.cnsns.2008.11.006
https://doi.org/10.1016/j.cnsns.2008.11.006
Autor:
Liangyun Chen, Baiying He
Publikováno v:
Journal of Mathematical Physics. 58:123503
Based on the Lie superalgebra spl(2, 1) and the TAH scheme, we generate (1+1)-dimensional and (2+1)-dimensional super soliton hierarchies associated with spl(2, 1). And by using the super-trace identity on Lie superalgebras, we construct the super-Ha
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::35b122a1c811bd72233ffd9c6256bd4c
https://doi.org/10.1063/1.5018031
https://doi.org/10.1063/1.5018031