Some Symmetry Classifications of Hyperbolic Vector Evolution Equations

DOI10.2991/jnmp.2005.12.s1.2zbMath1362.35180arXivnlin/0412015OpenAlexW2127690664MaRDI QIDQ5346912

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Publication date: 30 May 2017

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

Full work available at URL: https://arxiv.org/abs/nlin/0412015

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (6)

Dressing method for the vector sine-Gordon equation and its soliton interactions ⋮ Vector hyperbolic equations with higher symmetries ⋮ Integrability of a multicomponent coupled dispersionless integrable system ⋮ The parametric solution of underdetermined linear ODEs ⋮ Lax representations for triplets of two-dimensional scalar fields of the chiral type ⋮ New reductions of integrable matrix partial differential equations: Sp(m)-invariant systems

Cites Work

• Evolutionary equations with nontrivial Lie-Bäcklund group
• Integrable evolution equations on associative algebras
• Integrable systems in three-dimensional Riemannian geometry.
• Integrable Hamiltonian systems and interactions through quadratic constraints
• Deformations of nonassociative algebras and integrable differential equations
• Symmetries and Integrability
• The symmetry approach to the classification of non-linear equations. Complete lists of integrable systems
• A symmetry approach to exactly solvable evolution equations
• There is More than One Way to Frame a Curve
• On integrability of systems of evolution equations
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