Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Recio, Elena"'
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:
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
Topological charges and conservation laws involving an arbitrary function of time for dynamical PDEs
Autor:
Anco, Stephen C., Recio, Elena
Publikováno v:
Proc. Roy. Soc. A 477 (2021), 20200442
Dynamical PDEs that have a spatial divergence form possess conservation laws that involve an arbitrary function of time. In one spatial dimension, such conservation laws are shown to describe the presence of an $x$-independent source/sink; in two and
Externí odkaz:
http://arxiv.org/abs/2006.03639
Publikováno v:
J Phys A: Math. Theor. 54(7) (2021), 085701
For the generalized $p$-power Korteweg-de Vries equation, all non-periodic travelling wave solutions with non-zero boundary conditions are explicitly classified for all integer powers $p\geq 1$. These solutions are shown to consist of: bright solitar
Externí odkaz:
http://arxiv.org/abs/2004.08304
Publikováno v:
J. Math. Anal. Appl. 504 (2021), 125319
A universal KP-like equation in 2+1 dimensions, which models general nonlinear wave phenomena exhibiting p-power nonlinearity, dispersion, and small transversality, is studied. Special cases include the integrable KP (Kadomtsev-Petviashvili) equation
Externí odkaz:
http://arxiv.org/abs/1908.03962
Publikováno v:
Discrete and Continuous Dynamical Systems (S) 10 (2020), 2655-2665. Proceedings of 12th AIMS conference on Dynamical Systems, Differential Equations and Applications
A family of modified Kadomtsev-Petviashvili equations (mKP) in 2+1 dimensions is studied. This family includes the integrable mKP equation when the coefficients of the nonlinear terms and the transverse dispersion term satisfy an algebraic condition.
Externí odkaz:
http://arxiv.org/abs/1902.06365
Autor:
Anco, Stephen C., Recio, Elena
Publikováno v:
Discrete Cont. Dyn. Sys. A 39(10) (2019), 6131-6148
A wide class of nonlinear dispersive wave equations are shown to possess a novel type of peakon solution in which the amplitude and speed of the peakon are time-dependent. These novel dynamical peakons exhibit a wide variety of different behaviours f
Externí odkaz:
http://arxiv.org/abs/1902.05171
Autor:
Recio, Elena, Anco, Stephen C.
Publikováno v:
J. Phys. A: Math. Theor. 51 (2018) 065203 (19 pages)
All nonlinear dispersive wave equations in the general class $m_t+f(u,u_x)m+(g(u,u_x)m)_x =0$ are known to possess multi-peakon weak solutions. A classification is presented for families of multi-peakon equations in this class that possess conserved
Externí odkaz:
http://arxiv.org/abs/1707.05389
Publikováno v:
AIP Conference Proceedings 1836 (2017), 020072 (6pp)
The generalized Kawahara equation $u_t=a(t) u_{xxxxx} +b(t)u_{xxx} +c(t)f(u) u_x$ appears in many physical applications. A complete classification of low-order conservation laws and point symmetries is obtained for this equation, which includes as a
Externí odkaz:
http://arxiv.org/abs/1701.04854
Autor:
Recio, Elena, Anco, Stephen C.
Publikováno v:
J. Math. Anal. Appl. 452 (2017) 1229-1261
A class of generalized nonlinear p-Laplacian evolution equations is studied. These equations model radial diffusion-reaction processes in $n\geq 1$ dimensions, where the diffusivity depends on the gradient of the flow. For this class, all local conse
Externí odkaz:
http://arxiv.org/abs/1609.07652