Nonintegrable reductions of the self-dual Yang–Mills equations in a metric of plane wave type

DOI10.1063/1.1412466zbMath1019.81045OpenAlexW2072268531MaRDI QIDQ2774767

Devendra Kapadia

Publication date: 26 February 2002

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

Full work available at URL: https://doi.org/10.1063/1.1412466

zbMATH Keywords

nonlinear Schrödinger equationKorteweg-de Vries equationJordan normal formSL\((2,\mathbb{C})\) bundles

Mathematics Subject Classification ID

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) Yang-Mills and other gauge theories in quantum field theory (81T13) Quantum field theory on curved space or space-time backgrounds (81T20) NLS equations (nonlinear Schrödinger equations) (35Q55)

Related Items (1)

Ablowitz–Kaup–Newell–Segur system, conservation laws and Bäcklund transformation of a variable-coefficient Korteweg–de Vries equation in plasma physics, fluid dynamics or atmospheric science

Cites Work

• The Painlevé property for partial differential equations
• Painlevé property, auto-Bäcklund transformation, Lax pairs, and reduction to the standard form for the Korteweg–De Vries equation with nonuniformities
• A class of conformally Einstein metrics
• Painlevé analysis of the damped, driven nonlinear Schrödinger equation
• On self-dual gauge fields

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