Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent

Authors

Vladimir Gerdjikov, Bulgarian Academy of SciencesFollow
Georgi Grahovski, Technological University DublinFollow

Document Type

Conference Paper

Rights

This item is available under a Creative Commons License for non-commercial use only

Disciplines

Applied mathematics

Abstract

Using the dressing Zakharov-Shabat method we re-derive the effects of the two-soliton interactions for the MNLS equations related to the BD.I-type symmetric spaces. Next we generalize this analysis for the Heisenberg ferromagnet type equations, gauge equivalent to MNLS.

DOI

https://doi.org/10.21427/3csg-9j68

Recommended Citation

Gerdjikov, V. & Grahovski, G. (2010). Two soliton interactions of BD.I multicomponent NLS equations and their gauge equivalent. SAIP Conference Proceedings Second Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences, June 21 - 26 Sozopol (Bulgaria), AIP Conference Proc. doi:10.21427/3csg-9j68

Funder

Science Foundation Ireland Grant No. 09/RFP/MTH2144