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math-ph2014★ 14 cited
Multi-time Lagrangian 1-forms for families of Bäcklund transformations. Relativistic Toda-type systems
Raphael Boll, Matteo Petrera, Yuri B. Suris
We establish the pluri-Lagrangian structure for families of Bäcklund transformations of relativistic Toda-type systems. The key idea is a novel embedding of these discrete-time (on…
math-ph2007
Multiscale expansion and integrability properties of the lattice potential KdV equation
Rafael Hernandez Heredero, Decio Levi, Matteo Petrera +1
We apply the discrete multiscale expansion to the Lax pair and to the first few symmetries of the lattice potential Korteweg-de Vries equation. From these calculations we show that…