Unfolding a Hidden Lagrangian Structure of a Class of Evolution Equations

Abstract

It is shown that a simple modification of the standard Lagrangian underlying the dynamics of Newtonian lattices enables one to infer the hidden Lagrangian structure of certain classes of first order in time evolution equations which lack the conventional Lagrangian structure. Implication to other setups is outlined and exemplified.

Keywords

• inverse variational problem
• Lagrangian
• non-linear dispersion PDE