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nlin.SI2019
Elliptic solutions of Boussinesq type lattice equations and the elliptic Nth root of unity
Frank W Nijhoff, Ying-ying Sun, Da-jun Zhang
We establish an infinite family of solutions in terms of elliptic functions of the lattice Boussinesq systems by setting up a direct linearisation scheme, which provides the soluti…
math-ph2019★ 18 cited
Variational symmetries and Lagrangian multiforms
D. G. Sleigh, F. W. Nijhoff, V. Caudrelier
By considering the closure property of a Lagrangian multiform as a conservation law, we use Noether's theorem to show that every variational symmetry of a Lagrangian leads to a Lag…