Kac-Moody algebra, nonlocal symmetries, and Bäcklund transformation for KdV equation

DOI10.1007/BF00669998zbMath0694.35151MaRDI QIDQ909119

Swapna Roy, A. Roy Chowdhury

Publication date: 1989

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

Bäcklund transformationKorteweg-de-Vries equationGauge transformation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Conservation laws and symmetries of generalized sine-Gordon equations
• Specializations of integrable systems and affine Lie algebras
• Infinite-dimensional homogeneous manifolds with translational symmetry and nonlinear partial differential equations
• Reduction of the CP N nonlinear sigma model
• Gauge equivalence of exactly integrable field theoretic models

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