Integrable deformations in the matrix pseudo differential operators

DOI10.1016/j.geomphys.2016.04.024zbMath1378.17045OpenAlexW2468625142WikidataQ115353062 ScholiaQ115353062MaRDI QIDQ508065

Gerardus F. Helminck

Publication date: 9 February 2017

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.04.024

zbMATH Keywords

(strict) AKNS-hierarchy(strict) multicomponent KP hierarchycompatible Lax equationsmatrix pseudo differential operatorszero curvature form

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (2)

Cauchy problems related to integrable matrix hierarchies ⋮ A geometric construction of solutions of the strict \(\mathbf{h}\)-hierarchy

Cites Work

• Integrable deformations in the algebra of pseudodifferential operators from a Lie algebraic perspective
• Lie algebras and equations of Korteweg-de Vries type
• Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\)
• Operator Approach to the Kadomtsev-Petviashvili Equation–Transformation Groups for Soliton Equations III–
• Commuting flows and conservation laws for Lax equations
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Unnamed Item

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