New simple method for obtaining integrable hierarchies of soliton equations with multicomponent potential functions

DOI10.1023/B:IJTP.0000048605.43723.9czbMath1062.37069OpenAlexW1999614033MaRDI QIDQ1768678

Qingyou Yan, Fukui Guo, Yu-Feng Zhang

Publication date: 15 March 2005

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/b:ijtp.0000048605.43723.9c

zbMATH Keywords

loop algebra integrable coupling multicomponent integrable hierarchy Tu scheme

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Soliton equations (35Q51) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Related Items (9)

Completion of the Ablowitz-Kaup-Newell-Segur integrable coupling ⋮ Completion of the Guo-Hierarchy Integrable Coupling with Self-Consistent Sources in a Nonlinear Wave System ⋮ New soliton hierarchies associated with the real Lie algebra so(4,R) ⋮ A class of new Lie algebra, the corresponding g-mKdV hierarchy and its Hamiltonian structure ⋮ INTEGRABLE COUPLINGS OF MULTI-COMPONENT AKNS–KAUP–NEWELL EQUATIONS HIERARCHIES ⋮ The multi-component second modified Korteweg-de Vries equation and its two distinct integrable coupling types ⋮ INTEGRABLE COUPLINGS OF SUPER KAUP–NEWELL EQUATION HIERARCHY ⋮ A new loop algebra and its expanded loop algebras, as well as their applications ⋮ A hierarchy of discrete integrable coupling system with self-consistent sources

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