Bi-differential calculus and the KdV equation

DOI10.1016/S0034-4877(01)80024-0zbMath0990.37052arXivmath-ph/9908016WikidataQ115339961 ScholiaQ115339961MaRDI QIDQ5942385

Aristophanes Dimakis, Folkert Mueller-Hoissen

Publication date: 29 August 2001

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/9908016

zbMATH Keywords

KdV equationcompletely integrable systemsgauged bi-differential calculus

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Differential graded algebras and applications (associative algebraic aspects) (16E45) Noncommutative geometry (à la Connes) (58B34) Applications of functional analysis to differential and integral equations (46N20)

Related Items (2)

Non-Noether symmetries and their influence on phase space geometry. ⋮ Properties of Moyal-Lax representation

Cites Work

• Noncommutative geometry and integrable models
• Noncommutative geometry and a class of completely integrable models
• Integrable discretizations of chiral models via deformation of the differential calculus
• Bi-differential calculi and integrable models
• Korteweg-de Vries Equation and Generalizations. II. Existence of Conservation Laws and Constants of Motion
• Korteweg-deVries Equation and Generalizations. V. Uniqueness and Nonexistence of Polynomial Conservation Laws

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