Conservation laws of coupled semilinear wave equations

Published 30 Oct 2015 in math-ph and math.MP | (1510.09160v3)

Abstract: A complete classification of all low-order conservation laws is carried out for a system of coupled semilinear wave equations which is a natural two-component generalization of the nonlinear Klein-Gordon equation. The conserved quantities defined by these conservation laws are derived and their physical meaning is discussed.

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