Generalized KP Hierarchy for Several Variables

Abstract

Following the techniques of M. Sato (see \cite{Sa}), a generalization of the KP hierarchy for more than one variable is proposed. An approach to the classification of solutions and a method to construct algebraic solutions is also offered.

9 pages

References in corpus (3)

• Krichever correspondence for algebraic varieties
• On a Ring of Formal Pseudo-differential Operators
• Algebraic Solutions of the Multicomponent KP Hierarchy