A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2017; you can also visit the original URL.
The file type is application/pdf
.
N-Wave Equations with Orthogonal Algebras: Z2 and Z2 × Z2 Reductions and Soliton Solutions
2007
Symmetry, Integrability and Geometry: Methods and Applications
We consider N-wave type equations related to the orthogonal algebras obtained from the generic ones via additional reductions. The first Z_2-reduction is the canonical one. We impose a second Z_2-reduction and consider also the combined action of both reductions. For all three types of N-wave equations we construct the soliton solutions by appropriately modifying the Zakharov-Shabat dressing method. We also briefly discuss the different types of one-soliton solutions. Especially rich are the
doi:10.3842/sigma.2007.039
fatcat:wds2im2fj5h2hiwlwnxpz6r5hu