Conserved densities for linear evolution systems
Copyright policy )Conserved densities for linear evolution systems
A general discussion of the conservation laws for simple linear evolution systems is presented. The analysis is based upon an extension of the Gel'fand-Dikii symbolic algorithm to cover pseudo-differential operators. These techniques are applied to obtain all the conserved densities ϱ[u] for the free Klein-Gordon and Dirac equations with nonzero mass.
pseudo-differential matrix, Partial differential equations of mathematical physics and other areas of application, Linear first-order PDEs, 49C10, 58F07, 35Q20, Hyperbolic conservation laws, 35L65, Fourier transform, linear systems of evolution type, conservation laws, 81C05
pseudo-differential matrix, Partial differential equations of mathematical physics and other areas of application, Linear first-order PDEs, 49C10, 58F07, 35Q20, Hyperbolic conservation laws, 35L65, Fourier transform, linear systems of evolution type, conservation laws, 81C05
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