Soliton Fay identities. I. Dark soliton case
Exactly Solvable and Integrable Systems
2015-09-08 v1 Mathematical Physics
math.MP
Abstract
We derive a set of bilinear identities for the determinants of the matrices that have been used to construct the dark soliton solutions for various models. To give examples of the application of the obtained identities we present soliton solutions for the equations describing multidimensional quadrilateral lattices, Darboux equations and multidimensional multicomponent systems of the nonlinear Schrodinger type.
Keywords
Cite
@article{arxiv.1409.0406,
title = {Soliton Fay identities. I. Dark soliton case},
author = {V. E. Vekslerchik},
journal= {arXiv preprint arXiv:1409.0406},
year = {2015}
}