A NEW SOLITON HIERARCHY AND ITS TWO KINDS OF EXPANDING INTEGRABLE MODELS AS WELL AS HAMILTONIAN STRUCTURE

DOI10.1142/S0217979209052832zbMath1170.37330MaRDI QIDQ3397785

Benny Y. C. Hon, Yu-Feng Zhang, Huan He Dong

Publication date: 25 September 2009

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

zbMATH Keywords

Lie algebraHamiltonian structuresoliton hierarchy

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie groups to the sciences; explicit representations (22E70) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Cites Work

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• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Hamiltonian and quasi-Hamiltonian structures associated with semi-direct sums of Lie algebras
• The quadratic-form identity for constructing the Hamiltonian structure of integrable systems
• A Liouville integrable Hamiltonian system associated with a generalized Kaup-Newell spectral problem