Infinite-dimensional Estabrook–Wahlquist prolongations for the sine-Gordon equation

DOI10.1063/1.531348zbMath0844.35105arXivsolv-int/9506002OpenAlexW3098916563MaRDI QIDQ4873458

John K. McIver, J. D. III. Finley

Publication date: 19 May 1996

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

Full work available at URL: https://arxiv.org/abs/solv-int/9506002

zbMATH Keywords

gauge transformationssymmetriessine-Gordon equationKac-Moody algebrauniversal covering algebraprolongation structures

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Invariance and symmetry properties for PDEs on manifolds (58J70) Continuation and prolongation of solutions to PDEs (35B60)

Related Items (4)

Infinite-dimensional prolongation structures for the Robinson-Trautman type III metric ⋮ The Robinson-Trautman type III prolongation structure contains \(K_ 2\) ⋮ Constructing multiple prolongation structures from homotopic maps ⋮ Fermionic covariant prolongation structure theory for supernonlinear evolution equation

Cites Work

• Symmetries and conservation laws of partial differential equations: Basic notions and results
• Nonlocal trends in the geometry of differential equations: Symmetries, conservation laws, and Bäcklund transformations
• Symbolic computations in applied differential geometry
• The group of internal symmetries and the conditions of integrability of two-dimensional dynamical systems
• Nonlocal symmetries and the theory of coverings: An addendum to A. M. Vinogradov's 'Local Symmetries and Conservation Laws'
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• An analogue of Bäcklund's theorem in affine geometry
• Prolongations to higher jets of Estabrook-Wahlquist coverings for PDE's
• The Sine-Gordon Prolongation Algebra
• Positon solutions of the sine-Gordon equation
• Nonlocal higher-order symmetries for the Federbush model
• General prolongations and (x, t)-depending pseudopotentials for the KdV equation
• A nilpotent prolongation of the Robinson–Trautman equation
• General Derivation of Bäcklund Transformations from Inverse Scattering Problems
• Unification of Ernst-equation Bäcklund transformations using a modified Wahlquist–Estabrook technique
• Prolongation structures of nonlinear equations and infinite-dimensional algebras
• Equations admitting O(2,1)⊗R(t,t^-1) as a prolongation algebra
• The Bäcklund problem for the equation ∂2z/∂x1∂x2= f (z)
• The KdV prolongation algebra
• Moving frames and prolongation algebras
• Prolongation structures for Harry Dym type equations and Backlund transformations of CC ideals
• Bäcklund transformations and the equation z x y=F (x,y,z)
• Prolongation structures of nonlinear evolution equations. II
• The prolongation structures of a class of nonlinear evolution equations
• Gauge and Bäcklund transformations for the variable coefficient higher-order modified Korteweg–de Vries equation
• Applications of coverings and non-local symmetries
• Geometric Approach to Invariance Groups and Solution of Partial Differential Systems

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