A generalized multi-component AKNS hierarchy

DOI10.1016/J.PHYSLETA.2004.04.041zbMath1138.35384OpenAlexW1981000647MaRDI QIDQ2476385

Yu-Feng Zhang

Publication date: 19 March 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2004.04.041

zbMATH Keywords

AKNS hierarchyintegrable systemloop algebra

Mathematics Subject Classification ID

Soliton equations (35Q51)

Related Items (7)

Expansion of Lie Algebra and Its Application ⋮ \((2+1)\)-dimensional Dirac hierarchy and its integrable couplings as well as multi-component integrable system ⋮ INTEGRABLE COUPLINGS OF THE (2+1)-DIMENSIONAL Li HIERARCHY AND ITS HAMILTONIAN STRUCTURE AS WELL AS THE MULTI-COMPONENT Li HIERARCHY ⋮ A higher-dimensional multi-component integrable hierarchy and its integrable couplings ⋮ Integrable couplings of the multi-component Dirac hierarchy and its Hamiltonian structure ⋮ The multi-component second modified Korteweg-de Vries equation and its two distinct integrable coupling types ⋮ New matrix Lie algebra and its application

Cites Work

• Adjoint symmetry constraints of multicomponent AKNS equations.
• New integrable systems of derivative nonlinear Schrödinger equations with multiple components
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• Multi-Field Integrable Systems Related to WKI-Type Eigenvalue Problems
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