On phase, action and canonical conservation laws in kinematic-wave theory
Автор(и)
Gerard A. Maugin
Universitй Pierre et Marie Curie (Paris-6), Institut Jean Le Rond d'Alembert UMR 7190 CNRS, Case 162, 4 place Jussieu, 75252 Paris Cedex 05, France
Canonical equations of energy and momentum are constructed in the kinematic-wave theory of waves in
a continuum. This is done in analogy with what is achieved in nonlinear continuum mechanics. The starting point is a generalized balance of wave action. The standard formulas are recovered when the system follows from the averaged-Lagrangian variational formulation of Whitham.