Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Changzheng Qu"'
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
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:
Chunrong Zhu, Changzheng Qu
Publikováno v:
Symmetry, Vol 8, Iss 11, p 128 (2016)
In this paper, we develop the symmetry-related methods to study invariant subspaces of the two-dimensional nonlinear differential operators. The conditional Lie–Bäcklund symmetry and Lie point symmetry methods are used to construct invariant subsp
Externí odkaz:
https://doaj.org/article/d8acc5bbe8e84ca195a4a72a83c8ffda
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 9, p 001 (2013)
In this paper, multi-component generalizations to the Camassa-Holm equation, the modified Camassa-Holm equation with cubic nonlinearity are introduced. Geometric formulations to the dual version of the Schrödinger equation, the complex Camassa-Holm
Externí odkaz:
https://doaj.org/article/4f336694f99c424fbf21a16295b28146
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
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
Publikováno v:
Physica D: Nonlinear Phenomena. 444:133598
Publikováno v:
Journal of Evolution Equations. 22
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