Results 21 to 30 of about 535 (196)
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
Bilinear Form and Two Bäcklund Transformations for the (3+1)-Dimensional Jimbo-Miwa Equation
Abstract and Applied Analysis, 2015 With Bell polynomials and symbolic computation, this paper investigates the (3+1)-dimensional Jimbo-Miwa equation, which is one of the equations in the Kadomtsev-Petviashvili hierarchy of integrable systems.
He Li, Yi-Tian Gao
doaj +1 more source
Frontiers in Physics, 2022 In this paper, a new (2 + 1)-dimensional nonlinear evolution equation is investigated. This equation is called the Kadomtsev–Petviashvili–Sawada–Kotera–Ramani equation, which can be seen as the two-dimensional extension of the Korteweg–de Vries–Sawada ...
Baoyong Guo
doaj +1 more source
Results in Physics, 2022 The (2+1)-dimensional Korteweg–de Vries–Sawada–Kotera–Ramani (KdVSKR) equation is proposed by extending one dimension of the (1+1)-dimensional KdVSKR equation.
Chen Zhu +5 more
doaj +1 more source
Structure vs Randomness for Bilinear Maps
Discrete Analysis, 2022 Structure vs randomness for bilinear maps, Discrete Analysis 2022:12, 21 pp. A _tensor_ can be thought of as a higher-dimensional analogue of a matrix (where a matrix is 2-dimensional).
Guy Moshkovitz, Alex Cohen
doaj +1 more source
Advanced Healthcare Materials, EarlyView.A multilayered small‐caliber vascular scaffold combining electrospinning and 4‐axis printing is developed and biofunctionalized with marine sulfated polysaccharides from Holothuria tubulosa. The resulting construct exhibits enhanced hemocompatibility, tunable mechanical properties, and supports endothelial and smooth muscle cell adhesion and ...
Gabriele Obino +9 more
wiley +1 more source
Exact solutions of the classical Boussinesq system
Arab Journal of Basic and Applied Sciences, 2018 In this paper, we study exact solutions of the classical Boussinesq (CB) system, which describes propagations of shallow water waves. By using the bilinear form, with exponential expansions, we obtain solitary wave solutions of the CB system.
Hong-Qian Sun, Ai-Hua Chen
doaj +1 more source
Triggered Ferroelectricity in HfO2 From Hybrid Phonons and Higher‐Order Dynamical Charges
Advanced Materials, EarlyView.We combine first‐principles calculations, LGD theory and group theory to demonstrate the mechanism of hybrid‐triggered ferroelectricity in HfO2${\rm HfO}_2$, enabled by trilinear and quadlinear couplings between stable polar and nonpolar modes. HfO2${\rm HfO}_2$ hosts unconventional interplay between structure modes where substantial contribution to ...
Seongjoo Jung, Turan Birol
wiley +1 more source
Decompositions for Based Algebras with Bilinear Forms: A Graph Theory Connection
AxiomsWe consider the category of based algebras with bilinear forms and show that any object in this category decomposes as a direct sum of irreducible orthogonal ideals.
Antonio J. Calderón Martín +1 more
doaj +1 more source
Results in Physics, 2023 In this article, a new dynamical system equation is constructed, named the (3+1)-dimensional Hirota-bilinear-like equation. The new ‘like’ equation has more nonlinear terms than the original equation while they have the same bilinear form.
Wenting Li, Ailing Jiao
doaj +1 more source