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Computation of densities and fluxes of nonlinear differential‐difference equations

Computation of densities and fluxes of nonlinear differential‐difference equations

Direct methods to find conserved densities and fluxes of differential‐difference equations are presented and illustrated for the Kac‐van Moerbeke (KvM) and modified Volterra lattices. A Miura map which connects both lattices is explicitly constructed based on homotopic deformation. The map is used recursively to compute conserved densities of the KvM …