Abstract
We perform a detailed analysis of the point transformations which leave invariant the Geng-Xue equation. We find that the Geng-Xue equation admits six Lie point symmetries which possess two three-dimensional subalgebras, the A 2,1 ⊗s A 1 and A 3,8 Lie algebras. For the Lie point symmetries we derive the one-dimensional optimal system and we perform a classification of the corresponding invariant transformations. We demonstrate the application of the Lie symmetries by deriving similarity solutions expressed by closed-form functions.
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.
