Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255623 | Journal of Geometry and Physics | 2018 | 17 Pages |
Abstract
By following the ideas presented by Fukumoto and Miyajima in Fukumoto and Miyajima (1996) we derive a generalized method for constructing integrable nonlocal equations starting from any bi-Hamiltonian hierarchy supplied with a recursion operator. This construction provides the right framework for the application of the full machinery of the inverse scattering transform. We pay attention to the Pohlmeyer-Lund-Regge equation coming from the nonlinear Schrödinger hierarchy and construct the formula for the reflectionless potential solutions which are generalizations of multi-solitons. Some explicit examples are discussed.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
F. Demontis, G. Ortenzi, C. van der Mee,