Non-Hamiltonian symmetries of a Boussinesq equation

DOI10.1063/1.527036zbMath0613.35069OpenAlexW1977232280MaRDI QIDQ4720128

H. M. M. ten Eikelder, L. J. F. Broer

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527036

zbMATH Keywords

Boussinesq equationevolution equationssymmetriesrecursion formulasLie derivativehereditary symmetry

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional Lie (super)algebras (17B65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Hamiltonian operators and algebraic structures related to them
• Symmetries of the massive Thirring model
• Factorization of operators.II
• On the use of isospectral eigenvalue problems for obtaining hereditary symmetries for Hamiltonian systems
• Potential waves in one dimension

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