On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation

DOI10.1007/BF02281171zbMath0486.35006OpenAlexW83640280MaRDI QIDQ1164774

Gue-Zhang Tu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1007/bf02281171

zbMATH Keywords

sine-Gordon equationinfinitesimal Bäcklund transformationsinvolution of the conserved densities

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (4)

On polynomial symmetries of the sine-Gordon equation ⋮ Bäcklund transformations for the nonlinear Korteweg-de Vries equation from the algebrogeometric point of view ⋮ Case's conjecture on Bäcklund transformations and conservation laws ⋮ On the permutability of Bäcklund transformations

Cites Work

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• The Lie algebra of invariant group of the KdV, MKdV, or Burgers equation
• Canonical structure of soliton equations. I
• Noether's theorem and Steudel's conserved currents for the sine-Gordon equation
• A commutativity theorem of partial differential operators
• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• Theory of Canonical Transformations for Nonlinear Evolution Equations. II
• Theory of Canonical Transformations for Nonlinear Evolution Equations. I
• Bäcklund Transformation of the Cylindrical KdV Equation
• Evolution equations possessing infinitely many symmetries
• Backlund transformations for the Schrodinger equation with a spectral dependence in the potential

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