Abstract
We present a method to construct the multisymplectic formulation for ( m + 1)-dimensional n-order field based on the variational principle. Then we derive the multisymplectic conservation law and the local energy and momentum conservation laws for ( m + 1)-dimensional n-order field. The centred box discretization of the multisymplectic formulation for ( m + 1)-dimensional n-order field is proved to be a multisymplectic scheme. As an example, the process of constructing the multisymplectic formulation for the KP equation is given.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.