Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures

DOI10.1016/j.na.2019.111629zbMath1432.37089arXiv1810.05624OpenAlexW2975558964MaRDI QIDQ2288380

Wen-Xiu Ma, Morgan McAnally

Publication date: 17 January 2020

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.05624

zbMATH Keywords

Hamiltonian structureLiouville integrablematrix spectral problemintegrable coupling

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (9)

Explicit solutions and Darboux transformations of a generalized D-Kaup-Newell hierarchy ⋮ A novel kind of a multicomponent hierarchy of discrete soliton equations and its application ⋮ A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies ⋮ A kind of generalized integrable couplings and their bi-Hamiltonian structure ⋮ A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems ⋮ A family of integrable differential-difference equations: tri-Hamiltonian structure and Lie algebra of vector fields ⋮ A new multi-component integrable coupling and its application to isospectral and nonisospectral problems ⋮ Application of Riemann-Hilbert method to an extended coupled nonlinear Schrödinger equations

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