Reduced D-Kaup–Newell soliton hierarchies from sl(2,ℝ) and so(3,ℝ)

DOI10.1142/S021988781650105XzbMath1343.37066MaRDI QIDQ2816566

Wen-Xiu Ma, Yuan Zhou

Publication date: 23 August 2016

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

zbMATH Keywords

spectral problemsbi-Hamiltonian systemsLiouville integrablesoliton hierarchies

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton solutions (35C08)

Related Items (8)

An integrable generalization of the D-Kaup-Newell soliton hierarchy and its bi-Hamiltonian reduced hierarchy ⋮ A kind of generalized integrable couplings and their bi-Hamiltonian structure ⋮ Double-periodic soliton solutions for the (3+1)-dimensional Boiti-Leon-Manna-Pempinelli equation in incompressible fluid ⋮ Lump solitons and the interaction phenomena of them for two classes of nonlinear evolution equations ⋮ A kind of nonisospectral and isospectral integrable couplings and their Hamiltonian systems ⋮ Two integrable couplings of a generalized d-Kaup-Newell hierarchy and their Hamiltonian and bi-Hamiltonian structures ⋮ Riemann–Hilbert problems of a nonlocal reverse-time six-component AKNS system of fourth order and its exact soliton solutions ⋮ \( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems

Cites Work

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