Numerical interactions between compactons and kovatons of the Rosenau-Pikovsky K(cos) equation

A numerical study of the nonlinear wave solutions of the Rosenau-Pikovsky K(cos) equation is presented. This equation supports at least two kind of solitary waves with compact support: compactons of varying amplitude and speed, both bounded, and kovatons which have the maximum compacton amplitude, but arbitrary width. A new Pad\'e numerical method is used to simulate the propagation and, with small artificial viscosity added, the interaction between these kind of solitary waves. Several numerically induced phenomena that appear while propagating these compact travelling waves are discussed quantitatively, including self-similar forward and backward wavepackets. The collisions of compactons and kovatons show new phenomena such as the inversion of compactons and the generation of pairwise ripples decomposing into small compacton-anticompacton pairs

Aprendizaje Lúdico en Laboratorio de Programación

Es obvio que la motivación del alumno es un factor decisivo en su aprendizaje, como lo son el interés y el gusto por la asignatura que estudia. En especial, en el caso de asignaturas que el alumno no identifica directamente con la titulación que cursa, la motivación es pobre y ello se refleja en los resultados. En este trabajo se presenta un enfoque pedagógico desarrollado por el equipo docente de la asignatura Laboratorio de Programación de la Ingeniería Técnica de Telecomunicación de la Universidad de Málaga. El enfoque, basado en el uso de juegos de ordenador, se ha demostrado muy adecuado

Dissipative perturbations for the K(n,n) Rosenau-Hyman equation

Compactons are compactly supported solitary waves for nondissipative evolution equations with nonlinear dispersion. In applications, these model equations are accompanied by dissipative terms which can be treated as small perturbations. We apply the method of adiabatic perturbations to compactons governed by the K(n,n) Rosenau-Hyman equation in the presence of dissipative terms preserving the "mass" of the compactons. The evolution equations for both the velocity and the amplitude of the compactons are determined for some linear and nonlinear dissipative terms: second-, fourth-, and sixth-order in the former case, and second- and fourth-order in the latter one. The numerical validation of the method is presented for a fourth-order, linear, dissipative perturbation which corresponds to a singular perturbation term

Contrapicados y puntos de fuga. Las otras historias de la historia de la filosofía

Depto. de Lógica y Filosofía TeóricaFac. de FilosofíaFALSEsubmitte