Hamiltonian potential variables dualize Hamiltonian operators to symplectic ones, enabling new Lagrangian multiforms for bi-Hamiltonian integrable systems where none were previously known.
& Tsarev S.On a Class of Three-Dimensional Integrable Lagrangians
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Duality of Hamiltonian and Lagrangian formulations for integrable systems
Hamiltonian potential variables dualize Hamiltonian operators to symplectic ones, enabling new Lagrangian multiforms for bi-Hamiltonian integrable systems where none were previously known.