English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Open

Presents the pdf analysis as premium feature

PDF Analysis

Insights

Presents the summarisation as premium feature

Summarisation

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

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

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