Mladenov, Ivaïlo (ed.) et al., Proceedings of the 8th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 9–14, 2006. Sofia: Bulgarian Academy of Sciences (ISBN 978-954-8495-37-0/pbk). 184-200 (2007).
Summary: We consider -wave type equations related to symplectic and orthogonal algebras. We obtain their soliton solutions in the case when two different reductions (or equivalently one -reduction) are imposed. For that purpose we apply a particular case of an auto-Bäcklund transformation – the Zakharov-Shabat dressing method. The corresponding dressing factor is consistent with the -reduction. These soliton solutions represent -wave breather-like solitons. The discrete eigenvalues of the Lax operators connected with these solitons form “quadruplets” of points which are symmetrically situated with respect to the coordinate axes.
|37K35||Lie-Bäcklund and other transformations|
|58J72||Correspondences and other transformation methods (PDE on manifolds)|