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Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy

Adamopoulou, Panagiota and Papamikos, Georgios (2020) 'Drinfel'd-Sokolov construction and exact solutions of vector modified KdV hierarchy.' Nuclear Physics B, 952. ISSN 0550-3213

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We construct the hierarchy of a multi-component generalisation of modified KdV equation and find exact solutions to its associated members. The construction of the hierarchy and its conservation laws is based on the Drinfel'd-Sokolov scheme, however, in our case the Lax operator contains a constant non-regular element of the underlying Lie algebra. We also derive the associated recursion operator of the hierarchy using the symmetry structure of the Lax operators. Finally, using the rational dressing method we obtain the one-soliton solution and we find the one-breather solution of general rank in terms of determinants.

Item Type: Article
Divisions: Faculty of Science and Health > Mathematical Sciences, Department of
Depositing User: Elements
Date Deposited: 29 Sep 2020 15:17
Last Modified: 29 Sep 2020 15:17

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