Component-trace identity for Hamiltonian structure of the integrable couplings of the giachetti-johnson (GJ) hierarchy and coupling integrable couplings

DOI10.1016/j.cnsns.2010.10.016zbMath1221.37136OpenAlexW2059643584MaRDI QIDQ718590

D. Kharzeev

Publication date: 23 September 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2010.10.016

zbMATH Keywords

Hamiltonian structureintegrable couplingcomponent-trace identitiescoupling integrable couplingszero-curvature equations

Mathematics Subject Classification ID

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

Related Items (8)

The interactions of \(N\)-soliton solutions for the generalized (2+1)-dimensional variable-coefficient fifth-order KdV equation ⋮ \((2 + 1)\)-dimensional mKdV hierarchy and chirp effect of Rossby solitary waves ⋮ Generalised (2+1)-dimensional Super MKdV Hierarchy for Integrable Systems in Soliton Theory ⋮ Binary nonlinearization for AKNS-KN coupling system ⋮ Tri-integrable couplings of the Giachetti-Johnson soliton hierarchy as well as their Hamiltonian structure ⋮ Prolongation structures and \(N\)-soliton solutions for a new nonlinear Schrödinger-type equation via Riemann-Hilbert approach ⋮ A hierarchy of discrete integrable coupling system with self-consistent sources ⋮ Integrable couplings, bi-integrable couplings and their Hamiltonian structures of the Giachetti-Johnson soliton hierarchy

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