Case's conjecture on Bäcklund transformations and conservation laws

DOI10.1007/BF00400434zbMath0517.58010OpenAlexW1994106388WikidataQ122948917 ScholiaQ122948917MaRDI QIDQ1053320

William F. Shadwick

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1007/bf00400434

zbMATH Keywords

evolution equationPoisson bracketsconserved densitysoliton theory

Mathematics Subject Classification ID

Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• The Hamiltonian formulation of regular rth-order Lagrangian field theories
• Noether's theorem and Steudel's conserved currents for the sine-Gordon equation
• A conjecture about Bäcklund transformations
• On the permutability of Bäcklund transformations. I: Infinitesimal Bäcklund transformations of the sine-Gordon equation

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