Geodesic
Solitary Waves in Massive Nonlinear $\mathbb S^N$-Sigma Models
Symmetry, integrability and geometry: methods and applications, Tome 6 (2010) Cet article a éte moissonné depuis la source Math-Net.Ru

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The solitary waves of massive $(1+1)$-dimensional nonlinear $\mathbb S^N$-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.
Keywords: solitary waves; nonlinear sigma models. 
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     title = {Solitary {Waves} in {Massive} {Nonlinear} $\mathbb S^N${-Sigma} {Models}},
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}
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Alberto Alonso Izquierdo; Miguel Ángel González León; Marina de la Torre Mayado. Solitary Waves in Massive Nonlinear $\mathbb S^N$-Sigma Models. Symmetry, integrability and geometry: methods and applications, Tome 6 (2010). http://geodesic.mathdoc.fr/item/SIGMA_2010_6_a16/

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