Zobrazeno 1 - 10
of 191
pro vyhledávání: '"Changzheng, Qu"'
In this paper, we investigate Hessian curvature hypersurfaces with prescribed Gauss images. Given geodesically strictly convex bounded domains $\Omega$ in $\mathbb{R}^n$ and $\tilde{\Omega}$ in the unit hemisphere, we prove that there is a strictly c
Externí odkaz:
http://arxiv.org/abs/2412.09159
In this paper, we study the $k$-Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given asymptotic behavior. Then, we prove that for strictly convex initial hyp
Externí odkaz:
http://arxiv.org/abs/2409.07301
Autor:
LI ZE, CHANGZHENG QU
Publikováno v:
SIAM Journal on Mathematical Analysis; 2024, Vol. 56 Issue 2, p1672-1726, 55p
Publikováno v:
Studies in Applied Mathematics. 148:1703-1721
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3e89a60dc7b2ec1a399d47fc637ff1a3
https://doi.org/10.1111/sapm.12488
https://doi.org/10.1111/sapm.12488
Publikováno v:
Symmetry, Vol 7, Iss 3, Pp 1376-1394 (2015)
We study the Bäcklund transformations of integrable geometric curve flows in certain geometries. These curve flows include the KdV and Camassa-Holm flows in the two-dimensional centro-equiaffine geometry, the mKdV and modified Camassa-Holm flows in
Externí odkaz:
https://doaj.org/article/92e4ac05dbd8401091cf76b727aa1449
Autor:
Changzheng Qu, Yun Yang
Publikováno v:
Science China Mathematics. 64:1715-1734
In this paper, the invariant geometric flows for hypersurfaces in centro-affine geometry are explored. We first present evolution equations of the centro-affine invariants corresponding to the geometric flows. Based on these fundamental evolution equ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8fb41b70defda5cd884cbac082c035ba
https://doi.org/10.1007/s11425-020-1831-8
https://doi.org/10.1007/s11425-020-1831-8
Autor:
Ying, Fu a, Changzheng, Qu b
Publikováno v:
In Acta Mathematica Scientia March 2012 32(2):652-662
Publikováno v:
Theoretical and Mathematical Physics. 204:843-874
We establish Liouville correspondences for the integrable two-component Camassa–Holm hierarchy, the two-component Novikov $$($$ Geng–Xue $$)$$ hierarchy, and the two-component dual dispersive water wave hierarchy using the related Liouville trans
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f048181af0650feb627cf02ffacb646
https://doi.org/10.1134/s0040577920070028
https://doi.org/10.1134/s0040577920070028
Publikováno v:
Teoreticheskaya i Matematicheskaya Fizika. 204:10-45
С помощью преобразований Лиувилля установлены соответствия для интегрируемой двухкомпонентной иерархии Камассы-Холма, двухкомпонент
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2a9390ccf95c28a7b9c058374e49a5e5
https://doi.org/10.4213/tmf9845
https://doi.org/10.4213/tmf9845
Autor:
Changzheng Qu, Lu Zhao
Publikováno v:
Chinese Annals of Mathematics, Series B. 41:407-418
A class of nonlocal symmetries of the Camassa-Holm type equations with bi-Hamiltonian structures, including the Camassa-Holm equation, the modified Camassa-Holm equation, Novikov equation and Degasperis-Procesi equation, is studied. The nonlocal symm
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::12bc2cc2d15097243b5a9832af917e6e
https://doi.org/10.1007/s11401-020-0207-8
https://doi.org/10.1007/s11401-020-0207-8