Non-linear partial differential equations via vector fields on homogeneous Banach manifolds

DOI10.1007/BF00130917zbMath0756.58023OpenAlexW2030738811WikidataQ115395216 ScholiaQ115395216MaRDI QIDQ1812959

Hongyou Wu

Publication date: 25 June 1992

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00130917

zbMATH Keywords

soliton equationsvector fieldsBanach Lie groupshomogeneous Banach manifolds

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Soliton equations (35Q51)

Related Items (5)

Time-space integrable decompositions of nonlinear evolution equations ⋮ Group theoretical symmetries and generalized Bäcklund transformations for integrable systems ⋮ Negative Flows of the potential KP-hierarchy ⋮ Vector differential equations ⋮ Initial value problems of the sine-Gordon equation and geometric solutions

Cites Work

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• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• Loop groups and equations of KdV type
• Linear algebraic groups in infinite dimensions
• Pseudospherical Surfaces and Evolution Equations
• Infinite-dimensional homogeneous manifolds with translational symmetry and nonlinear partial differential equations
• AUTOMORPHISMS OF BANACH MANIFOLDS ASSOCIATED WITH THE KP-EQUATION
• Weighted l₁ ‐ Grassmannians and Banach Manifolds of Solutions of the KP‐ Equation and the KdV‐Equation

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