Showing papers in "Journal of Geometry and Physics in 2021"
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TL;DR: In this paper, a linear combination of the potential KP equation and the BKP equation is considered, and it is shown that the combined pKP-BKP equations satisfy the Hirota N -soliton condition.
85 citations
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TL;DR: In this article, a new formulation of q-series invariants of 3-manifolds in terms of affine Grassmannians and a generalization of Akutsu-Deguchi-Ohtsuki knot invariants was proposed.
43 citations
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TL;DR: In this article, a nonlinear higher dimensional time fractional Korteweg-de Vries-type (KdV) equation was investigated and the optimal system of one-dimensional Lie subalgebra of this considered equation, was constructed.
38 citations
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TL;DR: In this article, the resilient Hirota bilinear method is used to evaluate the integrable (3+1)-dimensional nonlinear evolution equation in this work and establish novel types of solutions such as breather wave, lump-periodic, and two wave solutions.
36 citations
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TL;DR: In this article, the authors investigated light-like tangent developable surfaces generated by a lightlike base curve in de Sitter 3-space and established the relationship between these surfaces and topological types of lightlike curves.
29 citations
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TL;DR: In this article, a generalized Sasakian space form admits conformal Ricci soliton and quasi-Yamabe soliton, and it is shown that the potential function of a conformal gradient Ricci s soliton is constant.
25 citations
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TL;DR: In this paper, the authors show that the Boardman homomorphism of fractional D-brane charges at ADE-orientifold singularities is a function of the existence of lifts from equivariant K-theory to cohomotopy theory.
23 citations
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TL;DR: In this paper, the bilinear form of the generalized (3 + 1)-dimensional Kadomtsev-Petviashvili equation was constructed with the aid of the binary Hirota polynomial scheme.
22 citations
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TL;DR: In this paper, a spectral cut-off on compact Riemannian manifolds is introduced and the Gromov-Hausdorff limit of these spaces is shown to equal the underlying manifold one started with.
18 citations
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TL;DR: In this article, two classes of lump and line rogue wave solutions are obtained for the Hietarinta equation by means of the Hirota bilinear method, which are algebraically decaying rational solutions.
18 citations
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TL;DR: In this article, the authors studied virtual invariants of Quot schemes parametrizing quotients of dimension at most 1 of the trivial sheaf of rank N on nonsingular projective surfaces.
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TL;DR: In this paper, the Hirota direct method is applied to the (2+1)-dimensional Boussinesq type equation to find the lump and line rogue wave solutions with the aid of symbolic computations.
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TL;DR: In this article, the mutant knots are not distinguished by colored HOMFLY-PT polynomials for knots colored by either symmetric and or antisymmetric representations of S U (N ).
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TL;DR: In this article, the multiple Exp-function method was employed for searching the multiple soliton solutions for the (2+1)-dimensional generalized Hirota-Satsuma-Ito (HSI) equation, which contain one-soliton, two-solon, and triple solon kind solutions.
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TL;DR: In this article, a super-exceptional embedding construction of the heterotic M5-brane's sigma-model was recently shown to produce, at leading order, the super-Nambu-Goto (Green-Schwarz-type) Lagrangian for the embedding fields plus the Perry Schwarz Lagrangians for the free abelian self-dual higher gauge field.
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TL;DR: Haantjes algebras as mentioned in this paper generalize several known interesting geometric structures, arising in Riemannian geometry and in the theory of integrable systems, and play a crucial role in diagonalization of operators on differentiable manifolds.
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TL;DR: In this article, the authors consider nonlinear electrical circuits for which they derive a port-Hamiltonian formulation and compare this model with standard formulations of nonlinear circuits. But they do not consider the nonlinear non-linear electrical circuit with a single-input single-output (SISO) circuit.
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TL;DR: In this article, the convergence aspects of the metric on spectral truncations of geometry were studied, and general conditions on sequences of operator system spectral triples that allow one to prove a result on Gromov-Hausdorff convergence of the corresponding state spaces when equipped with Connes' distance formula.
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TL;DR: Based on the Darboux transformation for the supersymmetric constrained KP(ScKP) hierarchy, this article constructed the supersymetric constrained B type KP (ScBKP), and supersymmetric constrained C type KP (ScCKP).
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TL;DR: In this article, the spatial and time spectral problems associated with the Kundu-Eckhaus (KE) equation are derived via two linear constraint equations, and the gauge equivalence among the KE equation, NLS equation and Heisenberg chain equation are given.
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TL;DR: In this paper, the curvature restricted geometric properties of the generalized Kantowski-Sachs (briefly, GK-S) spacetime metric, a warped product of 2D base and 2D fiber, were investigated.
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TL;DR: In this article, a series of new results of this considered models, were obtained, including symmetry and one-parameter group of point transformations of this researched goals through the symmetry analysis scheme.
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TL;DR: In this paper, all symmetric Leibnizbialgebra structures whose underlying Lie algebra structure is a Lie bialgebra structure on an oscillator Lie algebra were determined.
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TL;DR: Chan et al. as mentioned in this paper conducted a survey on recent works in deformation quantization, geometric quantization and Berezin-Toeplitz quantization on Kahler manifolds, revealing new relationships among deformation, geometric and BV quantization.
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TL;DR: In this article, a new notion of generalized Ricci tensor for real hypersurfaces in complex two-plane Grassmannians G 2 ( ℂ m + 2 ) was introduced.
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TL;DR: In this paper, a detailed account of parts of the Z 2 n -differential calculus and of the variations of the trilogy of local theorems, which consists of the inverse function theorem, the implicit function theorem and the constant rank theorem, is given.
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TL;DR: In this article, the properties of perfect fluid spacetimes endowed with the gradient η -Ricci and gradient Einstein solitons were studied, and the authors set the goal to study the properties.
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TL;DR: In this paper, the Stokes-Dirac structure underlying the port-Hamiltonian model of ideal fluid flow on Riemannian manifolds is derived by Poisson reduction and augmented by boundary ports and distributed ports.
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TL;DR: In this paper, the authors presented a systematic procedure to extend the known Hamiltonian model of ideal inviscid fluid flow on Riemannian manifolds in terms of Lie-Poisson structures to a port-Hamiltonian model, which includes non-zero energy exchange through, and within, the spatial boundaries of the domain containing the fluid.
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TL;DR: In this paper, the ( 2 + 1 ) -dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equation was investigated and the exact lump and rogue wave solutions were constructed by solving the under-determined nonlinear system of algebraic equations for the specified parameters.