Zobrazeno 1 - 10
of 134
pro vyhledávání: '"María S. Bruzón"'
Publikováno v:
Mathematics, Vol 10, Iss 6, p 954 (2022)
In this work, we consider a family of nonlinear third-order evolution equations, where two arbitrary functions depending on the dependent variable appear. Evolution equations of this type model several real-world phenomena, such as diffusion, convect
Externí odkaz:
https://doaj.org/article/340ab30266204acbb4c344511ec7a8d7
Publikováno v:
Mathematics, Vol 10, Iss 2, p 254 (2022)
A family of third-order partial differential equations (PDEs) is analyzed. This family broadens out well-known PDEs such as the Korteweg-de Vries equation, the Gardner equation, and the Burgers equation, which model many real-world phenomena. Further
Externí odkaz:
https://doaj.org/article/f3e6b866b97f4cc297005bdd051a4f9b
Publikováno v:
Symmetry, Vol 13, Iss 11, p 2083 (2021)
The Benjamin–Bona–Mahony equation describes the unidirectional propagation of small-amplitude long waves on the surface of water in a channel. In this paper, we consider a family of generalized Benjamin–Bona–Mahony–Burgers equations dependi
Externí odkaz:
https://doaj.org/article/de3eb7a45efd454e9ea0acfa067ac36a
Autor:
Almudena P. Márquez, María S. Bruzón
Publikováno v:
Mathematics, Vol 9, Iss 17, p 2131 (2021)
This paper studies a non-linear viscoelastic wave equation, with non-linear damping and source terms, from the point of view of the Lie groups theory. Firstly, we apply Lie’s symmetries method to the partial differential equation to classify the Li
Externí odkaz:
https://doaj.org/article/50c6924702c444dcaadf64e760b2304d
Publikováno v:
Symmetry, Vol 12, Iss 8, p 1277 (2020)
In this work, we study a generalised (2+1) equation of the Zakharov–Kuznetsov (ZK)(m,n,k) equation involving three arbitrary functions. From the point of view of the Lie symmetry theory, we have derived all Lie symmetries of this equation depending
Externí odkaz:
https://doaj.org/article/1ab9503c23a2467f93ad1fa28edf73f7
Publikováno v:
Symmetry, Vol 11, Iss 8, p 1031 (2019)
This paper considers a generalized double dispersion equation depending on a nonlinear function f ( u ) and four arbitrary parameters. This equation describes nonlinear dispersive waves in 2 + 1 dimensions and admits a Lagrangian formulation when it
Externí odkaz:
https://doaj.org/article/db23baf971834d249085e9d8828f23b7
Autor:
Almudena P. Márquez, María S. Bruzón
Publikováno v:
Symmetry, Vol 11, Iss 7, p 840 (2019)
In this paper, we study a generalization of the well-known Kelvin-Voigt viscoelasticity equation describing the mechanical behaviour of viscoelasticity. We perform a Lie symmetry analysis. Hence, we obtain the Lie point symmetries of the equation, al
Externí odkaz:
https://doaj.org/article/fc9d183483a848fd94310b31c978fd20
Publikováno v:
Mathematical Methods in the Applied Sciences. 44:2050-2058
In this paper we consider a class of chemotaxis models with two arbitrary constitutive functions g(u) and f(v). After having performed a complete symmetry group classification with respect to them the reduced systems are derived. By considering g(u)
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4365882be1be46452b11f4df0845c70b
https://doi.org/10.1002/mma.6914
https://doi.org/10.1002/mma.6914
Autor:
A. P. Márquez, María S. Bruzón
Publikováno v:
Journal of Mathematical Chemistry. 58:1489-1498
In this paper, it is considered a quasi-linear strongly-damped wave equation defined by a non-linear partial differential equation of third order. The equation describes motions of viscoelastic solids. We study the conservation laws of this equation.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::51e85159146c35734bbb01bdd915fd3a
https://doi.org/10.1007/s10910-020-01146-x
https://doi.org/10.1007/s10910-020-01146-x
Publikováno v:
Journal of Mathematical Chemistry. 58:831-840
In this work, we study a Buckley–Leverett equation of two-phase flow in porous media from the point of view of the Lie theory. We find that for some functions the equation has abundant exact solutions expressible in terms of Jacobi elliptic functio
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf062909702e094f5234a8678d4d2044
https://doi.org/10.1007/s10910-020-01110-9
https://doi.org/10.1007/s10910-020-01110-9