Two soliton hierarchies associated with SO(4) and the applications of SU(2) ⊗ SU(2) ≅ SO(4)

DOI10.1063/1.4895914zbMath1301.37039OpenAlexW2086534934MaRDI QIDQ2924914

Lili Ma, Liangyun Chen, Baiying He

Publication date: 20 October 2014

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

Full work available at URL: https://doi.org/10.1063/1.4895914

zbMATH Keywords

soliton hierarchiesisospectral problems

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (4)

Bi-integrable couplings of a new soliton hierarchy associated with \(\mathrm{SO}(4)\) ⋮ A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure ⋮ New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ Bi-integrable and tri-integrable couplings of a soliton hierarchy associated with \(\mathrm{SO}(4)\)

Cites Work

• A soliton hierarchy associated with \(\mathrm{so}(3,\mathbb R)\)
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Integrable couplings of the hierarchies of evolution equations.
• Tri-integrable couplings by matrix loop algebras
• The integrable coupling of the AKNS hierarchy and its Hamiltonian structure
• On Liouville integrability of zero-curvature equations and the Yang hierarchy
• MORE ON THE ISOMORPHISM SU(2) ⊗ SU(2) ≅ SO(4)
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Hamiltonian Tri-Integrable Couplings of the AKNS Hierarchy

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