Prolongation structures of nonlinear equations and infinite-dimensional algebras

DOI10.1063/1.527261zbMath0619.35085OpenAlexW2019649546MaRDI QIDQ3755890

Minoru Omote

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527261

zbMATH Keywords

Ernst equationVirasoro algebrasine-Gordon equationchiral modelKac- Moody algebraProlongation

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Infinite-dimensional Lie (super)algebras (17B65) Partial differential equations of mathematical physics and other areas of application (35Q99) Continuation and prolongation of solutions to PDEs (35B60)

Related Items

Prolongation approach to Bäcklund transformation of Zhiber–Mikhailov–Shabat equation, Auxiliary linear equations for a class of nonlinear partial differential equations via jet-bundle formulation, Constructing multiple prolongation structures from homotopic maps, Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation, Analysis and applications of the symmetry group of the multidimensional three-wave resonant interaction problem, Fermionic covariant prolongation structure theory for supernonlinear evolution equation

Cites Work

• The Estabrook-Wahlquist method with examples of application
• The Backlund Transformations and the Inverse Scattering Method of the Ernst Equation
• The Sine-Gordon Prolongation Algebra
• Inverse scattering problems in higher dimensions: Yang–Mills fields and the supersymmetric sine-Gordon equation
• Bäcklund transformations for the Ernst equation
• Prolongation structures of nonlinear evolution equations