Results 21 to 30 of about 13,595 (306)
Three Representation Types for Systems of Forms and Linear Maps
Mathematics, 2021 We consider systems of bilinear forms and linear maps as representations of a graph with undirected and directed edges. Its vertices represent vector spaces; its undirected and directed edges represent bilinear forms and linear maps, respectively.
Abdullah Alazemi +4 more
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The Leibniz algebras whose subalgebras are ideals
Open Mathematics, 2017 In this paper we obtain the description of the Leibniz algebras whose subalgebras are ideals.
Kurdachenko Leonid A. +2 more
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Double-Periodic Soliton Solutions of the (2+1)-Dimensional Ito Equation
Advances in Mathematical Physics, 2023 In this work, a (2 + 1)-dimensional Ito equation is investigated, which represents the generalization of the bilinear KdV equation. Abundant double-periodic soliton solutions to the (2 + 1)-dimensional Ito equation are presented by the Hirota bilinear ...
Wen-Hui Zhu +4 more
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A Bilinear Form for Spin Manifolds [PDF]
Transactions of the American Mathematical Society, 1987 Let \(M^{2j+2}\) be a closed Spin manifold, and let [, ] be the symmetric bilinear form on \(H^ j(M; {\mathbb{Z}}_ 2)\) defined by \([x,y]=\). In this paper, the authors study [, ] and the resulting cobordism invariants. For example, the rank modulo 2 of [, ] on integral cohomology is \(\) when dim M\(=8k+2\).
Landweber, Peter S., Stong, Robert E.
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Q-soliton solution for two-dimensional q-Toda lattice
Қарағанды университетінің хабаршысы. Физика сериясы, 2019 The Toda lattice is a non-linear evolution equation describing an infinite system of masses on a line that interacts through an exponential force. The paper analyzes the construction of soliton solution for the q-Toda lattice in the two-dimensional case.
Б.Б. Кутум, Г.Н. Шайхова
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The apolar bilinear form in geometric modeling [PDF]
, 2000 Some recent methods of Computer Aided Geometric Design are related to the apolar bilinear form, an inner product on the space of homogeneous multivariate polynomials of a fixed degree, already known in 19th century invariant theory.
Vegter, Gert; id_orcid
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Bilinearization and new multi-soliton solutions of mKdV hierarchy with time-dependent coefficients
Open Physics, 2016 In this paper, Hirota’s bilinear method is extended to a new modified Kortweg–de Vries (mKdV) hierarchy with time-dependent coefficients. To begin with, we give a bilinear form of the mKdV hierarchy. Based on the bilinear form, we then obtain one-soliton,
Zhang Sheng, Zhang Luyao
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Frontiers in Physics, 2020 In this article, the lump-type solutions of the new integrable time-dependent coefficient (2+1)-dimensional Kadomtsev-Petviashvili equation are investigated by applying the Hirota bilinear technique and a suitable ansatz.
Aliyu Isa Aliyu +6 more
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Mathematics, 2022 The application of transformations of the state equations of continuous linear and bilinear systems to the canonical form of controllability allows one to simplify the computation of Gramians of these systems.
Igor Yadykin
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Bilinear forms on the Dirichlet space [PDF]
Analysis & PDE, 2010 v1: 29 ...
ARCOZZI, NICOLA +3 more
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