Direct Linearization of extended lattice BSQ systems
Exactly Solvable and Integrable Systems
2011-12-05 v1 Mathematical Physics
math.MP
Abstract
The direct linearization structure is presented of a "mild" but significant generalization of the lattice BSQ system. Some of the equations in this system were recently discovered in [J. Hietarinta, J. Phys {\bf A}: Math. Theor. {\bf 44} (2011) 165204] through a search of a class of three-component systems obeying the property of multidimensional consistency. We show that all the novel equations arising in this class follow from one and the same underlying structure. Lax pairs for these systems are derived and explicit expressions for the -soliton solutions are obtained from the given structure.
Cite
@article{arxiv.1112.0525,
title = {Direct Linearization of extended lattice BSQ systems},
author = {Da-jun Zhang and Song-lin Zhao and Frank W Nijhoff},
journal= {arXiv preprint arXiv:1112.0525},
year = {2011}
}
Comments
24 pages, 1 figure