New soliton hierarchies associated with the Lie algebra so(3,\(\mathbb{R}\)) and their Bi-Hamiltonian structures

DOI10.1016/S0034-4877(15)60028-3zbMath1315.37044OpenAlexW2061683442WikidataQ115339908 ScholiaQ115339908MaRDI QIDQ2349751

Wen-Xiu Ma, Liya Jiang, Yongyang Jin, Shou-feng Shen

Publication date: 17 June 2015

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(15)60028-3

zbMATH Keywords

symbolic computationHamiltonian structuresoliton hierarchymatrix spectral problemLie algebra so(3,\(\mathbb{R}\))

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 algebras and superalgebras to integrable systems (17B80)

Related Items (8)

A generalized Dirac soliton hierarchy and its bi-Hamiltonian structure ⋮ A soliton hierarchy associated with a spectral problem of 2nd degree in a spectral parameter and its bi-Hamiltonian structure ⋮ Two symmetry constraints for a generalized Dirac integrable hierarchy ⋮ New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ Darboux transformation for a generalized Ablowitz-Kaup-Newell-Segur hierarchy equation ⋮ Two integrable Hamiltonian hierarchies in sl(2,R) and so(3,R) with three potentials ⋮ EXACT SOLUTIONS FOR A DIRAC-TYPE EQUATION WITH N-FOLD DARBOUX TRANSFORMATION ⋮ Integrable nonlocal nonlinear Schrödinger equations associated with 𝑠𝑜(3,ℝ)

Uses Software

• Maple
• PDERecursionOperator

Cites Work

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