The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy

DOI10.1088/0305-4470/33/35/101zbMath0958.37049arXivnlin/0007002OpenAlexW3122392140MaRDI QIDQ4523600

A. H. Zimerman, J. F. Gomes, Luiz Agostinho Ferreira, Henrik Aratyn

Publication date: 14 January 2001

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

Full work available at URL: https://arxiv.org/abs/nlin/0007002

zbMATH Keywords

complex sine-Gordon equationnegative Borel loop algebra

Mathematics Subject Classification ID

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) Applications of Lie algebras and superalgebras to integrable systems (17B80)

Related Items (13)

On generating functions in the AKNS hierarchy ⋮ A vectorial binary Darboux transformation for the first member of the negative part of the AKNS hierarchy ⋮ Sasa-Satsuma (complex modified Korteweg–de Vries II) and the complex sine-Gordon II equation revisited: Recursion operators, nonlocal symmetries, and more ⋮ Supersymmetry and the KdV equations for integrable hierarchies with a half-integer gradation ⋮ Geometric Formulation and Multi‐dark Soliton Solution to the Defocusing Complex Short Pulse Equation ⋮ Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction ⋮ Soliton solutions for the super mKdV and sinh-Gordon hierarchy ⋮ The higher grading structure of the WKI hierarchy and the two-component short pulse equation ⋮ Complex solitons with real energies ⋮ Multicharged dyonic integrable models ⋮ Generalized Bäcklund transformations for affine Toda hierarchies ⋮ Gauge Miura and Bäcklund transformations for generalized A _n -KdV hierarchies ⋮ Integrable hierarchy for multidimensional Toda equations and topological-anti-topological fusion.

This page was built for publication: The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy