Geometrical interpretation of the bilinear equations for the KP hierarchy

G.F. Helminck; Gerhard F. Post

doi:10.1007/BF00402044

Geometrical interpretation of the bilinear equations for the KP hierarchy

G.F. Helminck
, Gerhard F. Post

Research output: Contribution to journal › Article › Academic

8 Citations (Scopus)

208 Downloads (Pure)

Abstract

The Grassmann manifold approach to the KP hierarchy, in the spirit of Segal and Wilson, is used to define the wavefunction ψW and its adjoint ψW⊥. From the fact that ψW and ψW⊥ are the orthogonal, we derive the bilinear equations. The modified equations are treated at the same time

Original language	Undefined
Pages (from-to)	359-364
Journal	Letters in mathematical physics
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/BF00402044
Publication status	Published - 1988

Keywords

IR-85968

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10.1007/BF00402044

Helminck_10.1007_BF00402044

Cite this

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title = "Geometrical interpretation of the bilinear equations for the KP hierarchy",

abstract = "The Grassmann manifold approach to the KP hierarchy, in the spirit of Segal and Wilson, is used to define the wavefunction ψW and its adjoint ψW⊥. From the fact that ψW and ψW⊥ are the orthogonal, we derive the bilinear equations. The modified equations are treated at the same time",

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AU - Post, Gerhard F.

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AB - The Grassmann manifold approach to the KP hierarchy, in the spirit of Segal and Wilson, is used to define the wavefunction ψW and its adjoint ψW⊥. From the fact that ψW and ψW⊥ are the orthogonal, we derive the bilinear equations. The modified equations are treated at the same time

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