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arXiv · 1002.1932

Solitary Waves in Massive Nonlinear S^N-Sigma Models

A. Alonso Izquierdo·M. Á. González León·M. de la Torre Mayado
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Abstract

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.

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A. Alonso Izquierdo, M. Á. González León, M. de la Torre Mayado. 2010-02-09. Solitary Waves in Massive Nonlinear S^N-Sigma Models. https://doi.org/10.3842/sigma.2010.017

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