The Sine-Gordon Prolongation Algebra

DOI10.1143/PTP.74.645zbMath0979.37510OpenAlexW2035555284MaRDI QIDQ2770005

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Publication date: 6 February 2002

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

Full work available at URL: https://doi.org/10.1143/ptp.74.645

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) KdV equations (Korteweg-de Vries equations) (35Q53) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Prolongation approach to Lax pairs and Bäcklund transformation of the variable coefficient KdV equation ⋮ Prolongation structures of nonlinear equations and infinite-dimensional algebras ⋮ Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation ⋮ Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's

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