Abstract
The use of Noether's theorem and Lie-group techniques provides a systematic method for investigating the conservation laws of evolution equations, that is, expressions of the form D,T + div F = 0. For Hamiltonian systems, the method gives only the density T, and the flux F must be computed indirectly using the evolution equations. Here, a direct procedure for calculating the flux is developed based on the density of the conserved quantity and on the associated symmetry generator. Simple expressions are given for specific classes of conservation laws. Particular attention is paid to Hamiltonian systems involving non-local operators.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
