Lagrangian multiforms provide a variational framework to describe integrable hierarchies.
The case of Lagrangian 1-forms covers finite-dimensional integrable systems. We use the …

A variational structure for the potential AKP system is established using the novel formalism
of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on …

A Lagrangian multiform structure is established for a generalisation of the Darboux system
describing orthogonal curvilinear coordinate systems. It has been shown in the past that this …

We present, for the first time, a Lagrangian multiform for the complete Kadomtsev–
Petviashvili hierarchy—a single variational object that generates the whole hierarchy and …

We cast the classical Yang–Baxter equation (CYBE) in a variational context for the first time,
by relating it to the theory of Lagrangian multiforms, a framework designed to capture …

In recent years, new properties of space-time duality in the Hamiltonian formalism of certain
integrable classical field theories have been discovered and have led to their reformulation …

We describe a variational framework for non-commuting flows, extending the theories of
Lagrangian multiforms and pluri-Lagrangian systems, which have gained prominence in …

We present a variational theory of integrable differential-difference equations (semi-discrete
integrable systems). This is an extension of the ideas known by the names' Lagrangian …

In a previous paper by one of the authors, a Lagrangian 3-form structure was established for
a generalised Darboux system, originally describing orthogonal curvilinear coordinate …

We investigate the relation between pluri-Lagrangian hierarchies of 2-dimensional partial
differential equations and their variational symmetries. The aim is to generalize to the case …