Solutions to the non-autonomous ABS lattice equations: Casoratians and bilinearization
Exactly Solvable and Integrable Systems
2012-07-04 v1 Mathematical Physics
math.MP
Abstract
In the paper non-autonomous H1, H2, H3 and Q1 equations in the ABS list are bilinearized. Their solutions are derived in Casoratian form. We also list out some Casoratian shift formulae which are used to verify Casoratian solutions.
Keywords
Cite
@article{arxiv.1201.6478,
title = {Solutions to the non-autonomous ABS lattice equations: Casoratians and bilinearization},
author = {Ying Shi and Da-jun Zhang and Song-lin Zhao},
journal= {arXiv preprint arXiv:1201.6478},
year = {2012}
}