Geometrical interpretation of the bilinear equations of the KP hierarchy

DOI10.1007/BF00402044zbMath0672.58047OpenAlexW1977574856MaRDI QIDQ1120179

Gerardus F. Helminck, Gerhard F. Post

Publication date: 1988

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00402044

zbMATH Keywords

wave functionbilinear equationsKadomtsev-Petviashvili (KP) hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations on manifolds; differential operators (58J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items

Bilinear equations for the strict KP hierarchy ⋮ Principal fiber bundle interpretation of the KP-hierarchy ⋮ The structure of Hilbert flag varieties ⋮ Darboux Transformations for the KP Hierarchy in the Segal-Wilson Setting ⋮ Darboux transformations for the strict KP hierarchy ⋮ Explicit construction of solutions of the modified Kadomtsev-Petviashvili equation

Cites Work

• Solitons and infinite dimensional Lie algebras
• Loop groups and equations of KdV type
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