Geodesic
Two-dimensional Toda field equations related to the exceptional algebra $\mathfrak g_2$: Spectral properties of the Lax operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 2, pp. 236-249 Cet article a éte moissonné depuis la source Math-Net.Ru

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We analyze spectral properties of the Lax operator corresponding to the two-dimensional Toda field equations related to the algebra $\mathfrak g_2$. We construct two minimal sets of scattering data $\mathcal T_s$, $s=1,2$, understanding the map between the potential and each of the sets $\mathcal T_s$ as a generalized Fourier transformation. We construct explicit recursion operators with special factorization properties.
Keywords: Toda field theory, recursion operator, generalized Fourier transformation.
Mots-clés : spectral decomposition 
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V. S. Gerdjikov. Two-dimensional Toda field equations related to the exceptional algebra $\mathfrak g_2$: Spectral properties of the Lax operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 172 (2012) no. 2, pp. 236-249. http://geodesic.mathdoc.fr/item/TMF_2012_172_2_a4/

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