An unified form of the AKNS and BPT hierarchies with two arbitrary parameters

DOI10.1016/j.physleta.2006.07.059zbMath1236.37037OpenAlexW2067190695MaRDI QIDQ942623

Hon-Wah Tam, Yu-Feng Zhang, En-gui Fan

Publication date: 5 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.physleta.2006.07.059

zbMATH Keywords

Hamiltonian structureAKNS hierarchyloop algebraBPT hierarchy

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) Lie algebras and Lie superalgebras (17B99)

Related Items (2)

Conservation laws, bright matter wave solitons and modulational instability of nonlinear Schrödinger equation with time-dependent nonlinearity ⋮ A few integrable systems and spatial spectral transformations

Cites Work

• Integrable theory of the perturbation equations.
• An approach for constructing loop algebra via exterior algebra and its applications
• The multi-component KdV hierarchy and its multi-component integrable coupling system
• A new algebraic system and its applications
• A unified expressing model of the AKNS hierarchy and the KN hierarchy, as well as its integrable coupling system
• Hamiltonian structure of the integrable coupling of the Jaulent-Miodek hierarchy
• The bi-Hamiltonian structure of the perturbation equations of the KdV hierarchy.
• A simple method for generating integrable hierarchies with multi-potential functions
• The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems
• A powerful approach to generate new integrable systems
• An approach to generate superextensions of integrable systems

This page was built for publication: An unified form of the AKNS and BPT hierarchies with two arbitrary parameters