Generalized Bäcklund transformations for affine Toda hierarchies

DOI10.1088/1751-8121/abd8b2OpenAlexW3119820038MaRDI QIDQ5876408

J. F. Gomes, A. H. Zimerman, Unnamed Author, Unnamed Author

Publication date: 1 February 2023

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

Full work available at URL: https://arxiv.org/abs/2010.03631

zbMATH Keywords

solitonsBäcklund transformationintegrable hierarchies

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items

Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation ⋮ Gauge symmetry origin of Bäcklund transformations for Painlevé equations ⋮ Gauge Miura and Bäcklund transformations for generalized A _n -KdV hierarchies

Cites Work

• Unnamed Item
• Representation of zero curvature for the system of nonlinear partial differential equations \(x_{\alpha,z\bar z}=\exp(kx)_\alpha\) and its integrability
• Momentum conserving defects in affine Toda field theories
• The Bullough-Dodd model coupled to matter fields
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Type-II Bäcklund transformations via gauge transformations
• Miura and generalized Bäcklund transformation for KdV hierarchy
• CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
• A new class of integrable defects
• Construction of type-II Bäcklund transformation for the mKdV hierarchy
• Constrained KP models as integrable matrix hierarchies
• The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy
• Affine Lie algebraic origin of constrained KP hierarchies
• Folding defect affine Toda field theories
• Classical integrable super sinh-Gordon equation with defects
• Jump-defects in the nonlinear Schrödinger model and other non-relativistic field theories