Abstract
New subhierarchies of the KP hierarchy in the Sato theory, named the m -truncated KP hierarchies ( m =1,2,…), are presented. The simplest one of the case m =1 is the Burgers-Hopf hierarchy, which is transformed into a system of linear equations, while other cases are into systems of linear and nonlinear equations. On account of the linear equations, the multiplicity of soliton solutions is limited up to m for the m -truncated KP hierarchy. It is also shown that the solution space of the m -truncated KP hierarchy is a submanifold “ GM ( m , ∞)” of the universal Grassmann manifold UGM , which is the solution space of the full KP hierarchy.
Sign-in/Register to access full text options 
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.
