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

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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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SP - 359

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JO - Letters in mathematical physics

JF - Letters in mathematical physics

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