Direct construction of conservation laws from field equations
This Letter presents an algorithm to obtain all local conservation laws for any system of field
equations. The algorithm uses a formula which directly generates the conservation laws and
does not depend on the system having a Lagrangian formulation, in contrast to Noether's
theorem which requires a Lagrangian. Several examples are considered including
dissipative systems inherently having no Lagrangian.
equations. The algorithm uses a formula which directly generates the conservation laws and
does not depend on the system having a Lagrangian formulation, in contrast to Noether's
theorem which requires a Lagrangian. Several examples are considered including
dissipative systems inherently having no Lagrangian.
Abstract
This Letter presents an algorithm to obtain all local conservation laws for any system of field equations. The algorithm uses a formula which directly generates the conservation laws and does not depend on the system having a Lagrangian formulation, in contrast to Noether's theorem which requires a Lagrangian. Several examples are considered including dissipative systems inherently having no Lagrangian.
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