Results 31 to 40 of about 177,748 (281)

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., Semko Nikolai N., Subbotin Igor Ya.   +2 more
doaj   +1 more source

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, Jian-Guo Liu, Mohammad Asif Arefin, M. Hafiz Uddin, Ya-Kui Wu   +4 more
doaj   +1 more source

Matroid connectivity and singularities of configuration hypersurfaces

, 2021
Consider a linear realization of a matroid over a field. One associates with it a configuration polynomial and a symmetric bilinear form with linear homogeneous coefficients.
Denham, Graham, Schulze, Mathias, Walther, Uli   +2 more
core   +1 more source

Lump-Type and Bell-Shaped Soliton Solutions of the Time-Dependent Coefficient Kadomtsev-Petviashvili Equation

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, Yongjin Li, Liu Qi, Mustafa Inc, Dumitru Baleanu, Dumitru Baleanu, Ali S. Alshomrani   +6 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Spectral Decompositions of Gramians of Continuous Stationary Systems Given by Equations of State in Canonical Forms

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
doaj   +1 more source

On Griess Algebras [PDF]

, 2007
In this paper we prove that for any commutative (but in general non-associative) algebra $A$ with an invariant symmetric non-degenerate bilinear form there is a graded vertex algebra $V = V_0 \oplus V_2 \oplus V_3\oplus ...$, such that $\dim V_0 = 1$ and
Roitman, Michael
core   +8 more sources

Controllable forms for stabilising pole assignment design of generalised bilinear systems [PDF]

, 2011
Bilinear structures are able to represent nonlinear phenomena more accurately than linear models, and thereby help to extend the range of satisfactory control performance.
Burnham, Keith J., Chotai, Arun, Taylor, C. James   +2 more
core   +1 more source

Symmetric Powers of Symmetric Bilinear Forms, Homogeneous Orthogonal Polynomials on the Sphere and an Application to Compact Hyperk\"ahler Manifolds

, 2016
The Beauville-Fujiki relation for a compact Hyperk\"ahler manifold $X$ of dimension $2k$ allows to equip the symmetric power $\text{Sym}^kH^2(X)$ with a symmetric bilinear form induced by the Beauville-Bogomolov form.
Kapfer, Simon
core   +1 more source