Lattice Schwarzian Boussinesq equation and two-component systems

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.

Cited by in corpus (1)

• ${\mathbb{Z}}_N$ graded discrete Lax pairs and discrete integrable systems