New hierarchies of nonlinear completely integrable systems related to a change of variables for evolution parameters

DOI10.1016/0378-4371(87)90241-XzbMath0668.58019OpenAlexW2004438885MaRDI QIDQ1118222

Benno Fuchssteiner, Walter Oevel

Publication date: 1987

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-4371(87)90241-x

zbMATH Keywords

sine-Gordon equationbi-Hamiltonian structurehierarchies of completely integrable systemsLorentz-invariant recursion operator

Mathematics Subject Classification ID

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

Related Items (7)

On a non-standard algebraic description of integrable nonlinear systems ⋮ Integrable nonlinear evolution equations with time-dependent coefficients ⋮ Hierarchies of Korteweg–de Vries type equations ⋮ Stationary flows: Hamiltonian structures and canonical transformations ⋮ The bi-Hamiltonian structure and new solutions of KdV6 equation ⋮ The generalized Kupershmidt deformation for constructing new integrable systems from integrable bi-Hamiltonian systems ⋮ On a new modified equation for the \((x,t)\) interchanged KdV equation.

Cites Work

• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• On the hierarchy of the Landau-Lifshitz equation
• The Lie Algebra Structure of Nonlinear Evolution Equations Admitting Infinite Dimensional Abelian Symmetry Groups
• The Lie Algebra Structure of Degenerate Hamiltonian and Bi-Hamiltonian Systems
• Mastersymmetries, Higher Order Time-Dependent Symmetries and Conserved Densities of Nonlinear Evolution Equations
• Application of hereditary symmetries to nonlinear evolution equations
• Bäcklund transformations for hereditary symmetries
• Evolution equations possessing infinitely many symmetries
• A simple model of the integrable Hamiltonian equation
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