Lattice Schwarzian Boussinesq equation and two-component systems

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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Scientific paper

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.

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