Solvability of the super KP equation and generalized of the Birkhoff decomposition
type: Item
instance of: scholarly article
title: Solvability of the super KP equation and generalized of the Birkhoff decomposition
zbMATH Open document ID: 0666.35074
DOI: 10.1007/BF01393991
author: Motohico Mulase
published in: Inventiones Mathematicae
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143557
review text: The paper is a tour de force in super-integrable systems. The author proves the unique solvability for the total hierarchy of the super K-P system. The main technical tool is the Birkhoff decomposition which is generalized here from previous work of the author. It is shown that the system studied encompasses the K-P system, the modified K-P system, and the K-P system with non-commutative coefficients. The paper is carefully written and is a welcome addition to the literature on completely integrable p.d.e.'s.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 4090067
zbMATH Keywords: conservation law
zbMATH Keywords: super-integrable systems
zbMATH Keywords: unique solvability
zbMATH Keywords: total hierarchy
zbMATH Keywords: super K-P system
zbMATH Keywords: Birkhoff decomposition
zbMATH Keywords: completely integrable p.d.e.'s
reviewed by: T. S. Ratiu
MaRDI profile type: Publication
cites work: Q3688825
cites work: Integrals of nonlinear equations of evolution and solitary waves
cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
cites work: Algebraic geometry of soliton equations
cites work: Cohomological structure in soliton equations and Jacobian varieties
cites work: Complete integrability of the Kadomtsev-Petviashvili equation
cites work: Q3754832
cites work: Q3308741
cites work: Loop groups and equations of KdV type
OpenAlex ID: W2066346165
description: scientific article; zbMATH DE number 4090067