Zobrazeno 1 - 10
of 250
pro vyhledávání: '"De La Rosa, Rafael"'
Autor:
Bluman, George W., de la Rosa, Rafael
In this paper, we further consider the symmetry-based method for seeking nonlocally related systems for partial differential equations. In particular, we show that the symmetry-based method for partial differential equations is the natural extension
Externí odkaz:
http://arxiv.org/abs/2407.09063
Autor:
Bruzón, María de los Santos, Márquez, Almudena del Pilar, Garrido, Tamara María, Recio, Elena, de la Rosa, Rafael
Publikováno v:
Journal of Computational and Applied Mathematics, 354: 682-688, 2019
In this paper, by applying the multiplier method we obtain a complete classification of low-order local conservation laws for a generalized seventh-order KdV equation depending on seven arbitrary nonzero parameters. We apply the Lie method in order t
Externí odkaz:
http://arxiv.org/abs/2402.05341
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation, 63:12-20, 2018
In this paper we consider a generalized Kuramoto-Sivashinsky equation. The equivalence group of the class under consideration has been constructed. This group allows us to perform a comprehensive study and a clear and concise formulation of the resul
Externí odkaz:
http://arxiv.org/abs/2402.03788
Publikováno v:
Discrete and Continuous Dynamical Systems - Series S, 13(10), 2691-2701, 2020
We provide a complete classification of point symmetries and low-order local conservation laws of the generalized quasilinear KdV equation in terms of the arbitrary function. The corresponding interpretation of symmetry transformation groups are give
Externí odkaz:
http://arxiv.org/abs/2402.04484
Publikováno v:
Applied Mathematics and Computation, 325:239-245, 2018
In this paper, a family of variable-coefficient fifth-order KdV equations has been considered. By using an infinitesimal method based on the determination of the equivalence group, differential invariants and invariant equations are obtained. Invaria
Externí odkaz:
http://arxiv.org/abs/2402.03458
Publikováno v:
Applied Mathematics and Computation, 290:125-134,2016
In this work we study a generalized variable-coefficient Gardner equation from the point of view of Lie symmetries in partial differential equations. We find conservation laws by using the multipliers method of Anco and Bluman which does not require
Externí odkaz:
http://arxiv.org/abs/2402.03418
Publikováno v:
Nonlinear Dynamics, 84:135-141,2016
A fifth-order KdV equation with time dependent coefficients and linear damping has been studied. Symmetry groups have several different applications in the context of nonlinear differential equations. For instance, they can be used to determine conse
Externí odkaz:
http://arxiv.org/abs/2402.03265
Publikováno v:
Commun Nonlinear Sci Numer Simulat 40 (2016) 71-79
In this paper we study the generalized variable-coefficient Gardner equations of the form $u_t + A(t)u^n\,u_x+ C(t)\,u^{2n}u_x + B(t)\,u_{xxx} + Q(t)\,u =0$. This class broadens out many other equations previously considered: Johnpillai and Khalique
Externí odkaz:
http://arxiv.org/abs/2402.02601
Autor:
Bluman, George W., de la Rosa, Rafael
Publikováno v:
In Communications in Nonlinear Science and Numerical Simulation January 2025 140 Part 2
Autor:
Martínez-Castelao, Alberto, Górriz Teruel, José Luis, Marco, Luis D., Garrigós, Enrique, Fernández-Fresnedo, Gema, Espinel Garuz, Eugenia, Cigarrán Guldris, Secundino, Arteaga Coloma, Jesús, Robles Pérez-Monteoliva, Nicolas Roberto, Esteban De la Rosa, Rafael José, Nieto Iglesias, Luis Javier, Ortiz Arduán, Alberto, Navarro-González, Juan Francisco
Publikováno v:
In NEFROLOGÍA September-October 2024 44(5):689-699