$A_n^{(1)}$ Toda solitons and the dressing symmetry

H. Belich; R. Paunov

doi:10.1063/1.532086

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arXiv · hep-th/9612029

$A_n^{(1)}$ Toda solitons and the dressing symmetry

H. Belich·R. Paunov

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Abstract

We present an elementary derivation of the soliton-like solutions in the $A_n^{(1)}$ Toda models which is alternative to the previously used Hirota method. The solutions of the underlying linear problem corresponding to the N-solitons are calculated. This enables us to obtain explicit expression for the element which by dressing group action, produces a generic soliton solution. In the particular example of monosolitons we suggest a relation to the vertex operator formalism, previously used by Olive, Turok and Underwood. Our results can also be considered as generalization of the approach to the sine-Gordon solitons, proposed by Babelon and Bernard.

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H. Belich, R. Paunov. 1996-12-18. $A_n^{(1)}$ Toda solitons and the dressing symmetry. https://doi.org/10.1063/1.532086

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