Abstract
We perform Galilei symmetry group classification of a class of third-order nonlinear evolution equations in one spatial variable, which generalize KdV and mKdV equations. All inequivalent PDEs belonging to the class in question which admit the classical Galilei group, the extended Galilei group and the natural extensions of the extended Galilei groups are constructed. The list of so obtained invariant equations may be used as motion equations for they all satisfy the Galilei relativity principle. In addition, we also give a complete classification of group invariant solutions for one obtained Galilei-invariant equation.
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 callMore From: Physica A: Statistical Mechanics and its Applications
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.
