A few integrable couplings of some integrable systems and (\(2 + 1\))-dimensional integrable hierarchies

DOI10.1155/2014/932672zbMath1474.37083OpenAlexW2036235542WikidataQ59042934 ScholiaQ59042934MaRDI QIDQ1725309

Bin-Lu Feng, Huan He Dong, Yu-Feng Zhang

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/932672

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Commutators, derivations, elementary operators, etc. (47B47) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (5)

Two kinds of new integrable couplings of the negative-order Korteweg-de Vries equation ⋮ Analysis of Lie symmetries with conservation laws and solutions for the generalized (3 + 1)-dimensional time fractional Camassa-Holm-Kadomtsev-Petviashvili equation ⋮ Three-dimensional coupled NLS equations for envelope gravity solitary waves in baroclinic atmosphere and modulational instability ⋮ Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy ⋮ Solutions of a discrete integrable hierarchy by straightening out of its continuous and discrete constrained flows

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