On polynomial symmetries of the sine-Gordon equation

DOI10.1017/S0305004100059557zbMath0499.35075MaRDI QIDQ3965005

Gue-Zhang Tu

Publication date: 1982

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

sine-Gordon equationsoliton theoryconserved densitiespolynomial symmetries

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Hyperbolic conservation laws (35L65) Soliton equations (35Q51)

Cites Work

• The Lie algebra of invariant group of the KdV, MKdV, or Burgers equation
• Intrinsic properties for conservation laws and Lie-Bäcklund invariances of evolution equations
• On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation
• Application of hereditary symmetries to nonlinear evolution equations
• Generalised variational derivatives in field theory
• Factorization of operators I. Miura transformations
• The sine-gordon and sinh-gordon equations on the circle
• Infinitesimal canonical transformations of generalised Hamiltonian equations
• Periodic solutions of the KdV equation
• Evolution equations possessing infinitely many symmetries

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