Three kinds of coupling integrable couplings of the Korteweg–de Vries hierarchy of evolution equations

DOI10.1063/1.3374664zbMath1310.37039OpenAlexW2005064009MaRDI QIDQ5249157

Hon-Wah Tam, Yu-Feng Zhang

Publication date: 29 April 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.3374664

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) 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) Loop groups and related constructions, group-theoretic treatment (22E67) Isospectrality (58J53)

Related Items (16)

Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation ⋮ Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling ⋮ Two nonisospectral integrable hierarchies and its integrable coupling ⋮ Integrable couplings of the generalized Vakhnenko equation: multiple soliton solutions ⋮ The coupling integrable couplings of the generalized coupled Burgers equation hierarchy and its Hamiltonian structure ⋮ Three kinds of nonisospectral integrable model of Wadati-Konno-Ichikawa soliton hierarchies ⋮ Resonant soliton and complexiton solutions for \((3+1)\)-dimensional Boiti-Leon-Manna-Pempinelli equation ⋮ A few Lie algebras and their applications for generating integrable hierarchies of evolution types ⋮ Couplings of a fifth order nonlinear integrable equation: multiple kink solutions ⋮ A new Lie algebra along with its induced Lie algebra and associated with applications ⋮ The coupling integrable couplings of the modified Korteweg-de Vries (mKdV) hierarchy ⋮ Some generalized isospectral-nonisospectral integrable hierarchies ⋮ Multi-component integrable couplings for the Ablowitz-Kaup-Newell-Segur and Volterra hierarchies ⋮ Bi-integrable couplings of a Kaup-Newell type soliton hierarchy and their bi-Hamiltonian structures ⋮ Coupling integrable couplings and bi-Hamiltonian structure associated with the Boiti–Pempinelli–Tu hierarchy ⋮ An integrable system and associated integrable models as well as Hamiltonian structures

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