Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5500120 | Journal of Geometry and Physics | 2017 | 21 Pages |
Abstract
We apply the Differential Galois Theory of linear partial differential systems to the Bäcklund-Darboux transformations of the AKNS solitonic partial differential equations. We prove that the Galois group of the transformed system is isomorphic to a subgroup of the Galois group of the initial system. As an example, we study the integrability in closed form of the linear systems corresponding to the solitonic solutions of KdV equation.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Sonia Jiménez, Juan J. Morales-Ruiz, Raquel Sánchez-Cauce, MarÃa-Angeles Zurro,