Abstract
Generalized functional separation of variables tononlinear evolution equations is studied in terms of the extendedgroup foliation method, which is based on the Lie point symmetrymethod. The approach is applied to nonlinear wave equations withvariable speed and external force. A complete classification forthe wave equation which admits functional separable solutions ispresented. Some known results can be recovered by this approach.
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.