English

Lattice Schwarzian Boussinesq equation and two-component systems

Exactly Solvable and Integrable Systems 2012-03-16 v2

Abstract

Various new two-component systems related to the lattice Schwarzian Boussinesq equation are constructed in a systematic way from conservation laws. Their multidimensional consistency is demonstrated, Lax pairs, symmetries and conservation laws are derived and an auto-Backlund transformation is constructed. Finally, Yang-Baxter maps from these systems are constructed.

Keywords

Cite

@article{arxiv.1202.5767,
  title  = {Lattice Schwarzian Boussinesq equation and two-component systems},
  author = {Pavlos Xenitidis and Frank Nijhoff},
  journal= {arXiv preprint arXiv:1202.5767},
  year   = {2012}
}