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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…
math-ph2018★ 21 cited
A Variational Approach to Lax Representations
D. G. Sleigh, F. W. Nijhoff, V. Caudrelier
It is shown that the Zakharov-Mihailov (ZM) Lagrangian structure for integrable nonlinear equations derived from a general class of Lax pairs possesses a Lagrangian multiform struc…