A GENERALIZED LEVI HIERARCHY AND ITS INTEGRABLE COUPLINGS

DOI10.1142/S0217979210054452zbMath1206.37036OpenAlexW2104153156MaRDI QIDQ3062753

Xiaoli Wei, Jiao Zhang

Publication date: 28 December 2010

Published in: International Journal of Modern Physics B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217979210054452

zbMATH Keywords

integrable couplingsloop algebraLevi hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)

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Cites Work

• A (2 + 1)-dimensional integrable hierarchy and its extending integrable model
• Integrable theory of the perturbation equations.
• A \(2 + 1\) non-isospectral integrable lattice hierarchy related to a generalized discrete second Painlevé hierarchy
• Semi-direct sums of Lie algebras and continuous integrable couplings
• Enlarging spectral problems to construct integrable couplings of soliton equations
• Integrable couplings of the hierarchies of evolution equations.
• A (2 + 1)-dimensional breaking soliton equation associated with the Kaup-Newell soliton hierarchy
• Integrable couplings of vector AKNS soliton equations
• A nonisospectral extension of the Volterra hierarchy to 2+1 dimensions
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A trace identity and its application to integrable systems of 1 + 2 dimensions
• Finite Dimensional Hamiltonians and Almost-Periodic Solutions for 2+1 Dimensional Three-Wave Equations
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• The spectral problem and particular solutions to the \((2+1)\)-dimensional integrable generalization of the Camassa-Holm equation