Lattice Schwarzian Boussinesq equation and two-component systems
Pavlos Xenitidis, Frank Nijhoff
TL;DR
This paper systematically constructs new two-component systems related to the lattice Schwarzian Boussinesq equation, demonstrating their integrability through multidimensional consistency, Lax pairs, symmetries, conservation laws, and Yang-Baxter maps.
Contribution
It introduces a systematic method for deriving two-component systems from the lattice Schwarzian Boussinesq equation and explores their integrability properties.
Findings
Constructed new two-component systems from conservation laws.
Proved multidimensional consistency of these systems.
Derived Lax pairs, symmetries, conservation laws, and Yang-Baxter maps.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsNonlinear Waves and Solitons · Algebraic structures and combinatorial models · Advanced Topics in Algebra