As an extension of the intertwining operator idea, an algebraic method which provides a link between supersymmetric quantum mechanics and quantum (super)integrability is introduced. By realization of the method in two dimensions , two infinite families of superintegrable and isospectral stationary potentials are generated. The method makes it possible to… (More)
Copyright and Moral Rights for the articles on this site are retained by the individual authors and/or other copyright owners. For more information on Open Research Online's data policy on reuse of materials please consult the policies page.
A class of quantum superintegrable Hamiltonians defined on a two-dimensional hyperboloid is considered together with a set of intertwining operators connecting them. It is shown that such intertwining operators close a su(2, 1) Lie algebra and determine the Hamiltonians through the Casimir operators. By means of discrete symmetries a broader set of… (More)
The rise of social software poses the challenges to the design and evaluation of a pedagogically sound online learning environment (OLE). Our OLE addresses these challenges by the integration of three pedagogical concepts - cross-cultural collaboration, self-directed learning and social networking - with the aim to advance participants' competencies and by… (More)
In this work, we study the Benjamin-Bona-Mahony like equations with a fully nonlinear dispersive term by means of the factorization technique. In this way we find the travelling wave solutions of this equation in terms of the Weierstrass function and its degenerated trigonometric and hyperbolic forms. Then, we obtain the pattern of periodic, solitary,… (More)
In this work, we apply the factorization technique to the Benjamin-Bona-Mahony like equations in order to get travelling wave solutions. We will focus on some special cases for which m = n, and we will obtain these solutions in terms of Weierstrass functions.