A{sub n}{sup (1)} Toda solitons and the dressing symmetry
- Centro Brasileiro de Pesquisas Fisicas, Rua Dr. Xavier Sigaud 150, Rio de Janeiro (Brazil)
We present an elementary derivation of the solitonlike solutions in the A{sub n}{sup (1)} Toda models which is an 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{endash}Gordon solitons, proposed by Babelon and Bernard. {copyright} {ital 1997 American Institute of Physics.}
- OSTI ID:
- 526898
- Journal Information:
- Journal of Mathematical Physics, Vol. 38, Issue 8; Other Information: PBD: Aug 1997
- Country of Publication:
- United States
- Language:
- English
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