%0 Journal Article
%T Solitary Waves in Massive Nonlinear S^N-Sigma Models
%A Alberto Alonso Izquierdo
%A Miguel ¨˘ngel Gonz¨˘lez Le¨Žn
%A Marina de la Torre Mayado
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann mechanical problem. There are topological (heteroclinic trajectories) and non-topological (homoclinic trajectories) kinks. The stability of some embedded sine-Gordon kinks is discussed by means of the direct estimation of the spectra of the second-order fluctuation operators around them, whereas the instability of other topological and non-topological kinks is established applying the Morse index theorem.
%K solitary waves
%K nonlinear sigma models
%U http://dx.doi.org/10.3842/SIGMA.2010.017