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Higher nonabelian omni-Lie algebroids

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 167 ()

In this paper, the structure of higher nonabelian omni-Lie algebroid is studied. The concept of higher nonabelian omni-Lie algebroids on direct sum bu......

A study of lump and line rogue wave solutions to a (2+1)-dimensional nonlinear equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 167 ()

In this article, a new (2+1)-dimensional extension of the Hietarinta equation is proposed. Two classes of lump and line rogue wave solutions are obtai......

Hamiltonian circle actions with almost minimal isolated fixed points

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 163 ()

Let the circle act in a Hamiltonian fashion on a connected compact symplectic manifold (M , omega) of dimension 2 pi. Then the S-1-action has at least......

Local curvature estimates along the kappa-LYZ flow

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 164 ()

In this paper we prove a local curvature estimate for the kappa-LYZ flow over Kahler manifolds introduced in Fei et al. (2019) and Li et al. (2020). I......

Lightlike tangent developables in de Sitter 3-space

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 164 ()

Developable surfaces are the special ruled surfaces where the Gaussian curvature of each point vanishes. Tangent developable is the most interesting s......

Twilled 3-Lie algebras, generalized matched pairs of 3-Lie algebras and O-operators

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 163 ()

In this paper, first we introduce the notion of a twilled 3-Lie algebra, and construct an L-infinity-algebra, whose Maurer-Cartan elements give rise t......

Darboux transformations of the supersymmetric constrained B and C type KP hierarchies

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 165 ()

Based on Darboux transformations for the supersymmetric constrained KP(ScKP) hierarchy, we construct the supersymmetric constrained B type KP(ScBKP) a......

Finite irreducible conformal modules over the Lie conformal superalgebra S(p)

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 166 ()

In the present paper, we introduce a class of infinite Lie conformal superalgebras S(p), which are closely related to Lie conformal algebras of extend......

Quantization of Kahler manifolds

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 163 ()

This is a survey on our recent works Chan et al. [5-7], which reveal new relationships among deformation quantization, geometric quantization, Berezin......

Breather waves, rogue waves and complexiton solutions for a Zakharov-Kuznetsov equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 167 ()

Via homoclinic breather limit method, breather wave and rogue wave solutions for a Zakharov-Kuznetsov (ZK) equation are obtained. Furthermore, the ext......

N-lump and interaction solutions of localized waves to the (2+1)-dimensional generalized KDKK equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 168 ()

Under investigation in this paper is the generalized (2+1)-dimensional Konopelchenko-Dubrovsky-Kaup-Kupershmidt equation. Based on the bilinear Hirota......

Soliton molecules and some novel mixed solutions for the extended Caudrey-Dodd-Gibbon equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 168 ()

In this paper, we investigate the extended Caudrey-Dodd-Gibbon equation. Using N-soliton solution and a novel velocity resonance condition can generat......

N-soliton solution of a combined pKP-BKP equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 165 ()

We consider a linear combination of the potential KP equation and the BKP equation, and call it a combined pKP-BKP equation. We prove that the combine......

Lump and rogue wave solutions to a (2+1)-dimensional Boussinesq type equation

期刊: JOURNAL OF GEOMETRY AND PHYSICS, 2021; 167 ()

In this paper, we study a (2+1)-dimensional Boussinesq type equation. By applying the Hirota direct method, lump and line rogue wave solutions are pre......

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