Abstract
The Grassmannian model for the Korteweg-de Vries hierarchy is used to describe the translational, Galilean and scaling self-similar solutions of this hierarchy. These solutions are characterized by the string equations appearing in two-dimensional quantum gravity. In particular, the subsets of the Sato Grassmannian corresponding to solutions of the string equations are found. The well known Adler-Moser rational solutions are obtained as well as a three-parameter family of solutions associated with the Painleve II 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 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.
