Journal
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
Volume 11, Issue 4, Pages 707-721Publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/dcdss.2018044
Keywords
Conservation law; symmetry; evolution equation
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Funding
- NSF [DMS-664561]
- NNSFC [11371326, 11371086, 11571079]
- 111 project of China [B16002]
- Natural Science Fund for Colleges and Universities of Jiangsu Province [17KJB110020]
- Shanghai University of Electric Power
- Shanghai Second Polytechnic University
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Conservation laws are fomulated for systems of differential equations by using symmetries and adjoint symmetries, and an application to systems of evolution equations is made, together with illustrative examples. The formulation does not require the existence of a Lagrangian for a given system, and the presented examples include computations of conserved densities for the heat equation, Burgers' equation and the Korteweg-de Vries equation.
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