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arxiv: 1202.5767 · v2 · pith:EATOF4YEnew · submitted 2012-02-26 · 🌊 nlin.SI

Lattice Schwarzian Boussinesq equation and two-component systems

classification 🌊 nlin.SI
keywords constructedsystemsboussinesqconservationequationlatticelawsschwarzian
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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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