Abstract
For partial differential equations which are completely integrable, there are associated systems which describe the motions of the poles of rational solutions. These typically include constraints which are not obviously sreserved by the dynamics. A new geometric interpretation of the constraints is given which leads to the immediate desired conclusion that these constraints are preserved. This idea is applied to the KdV equation and to an integrable variant of the Boussinesq system, which is equivalent to the non-linear Schrödinger system.
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.
