Bilinear equations for the strict KP hierarchy

DOI10.1007/s11232-015-0380-1zbMath1338.37086OpenAlexW2254163842MaRDI QIDQ269039

S. V. Polenkova, Gerardus F. Helminck, Elena A. Panasenko

Publication date: 18 April 2016

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11232-015-0380-1

zbMATH Keywords

bilinear formpseudodifferential operatorcompatible Lax equationdual wave functionintegrable deformationstrict 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) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Related Items (3)

Expressions in Fredholm determinants for solutions of the strict KP hierarchy ⋮ Geometric solutions of the strict KP hierarchy ⋮ Properties of the algebra Psd related to integrable hierarchies

Cites Work

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• Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
• Cauchy problems related to integrable deformations of pseudo differential operators
• Loop groups and equations of KdV type
• Geometrical interpretation of the bilinear equations of the KP hierarchy
• Method for Generating Discrete Soliton Equation. III

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