Solving non-Abelian loop Toda equations

DOI10.1016/j.nuclphysb.2009.01.010zbMath1194.37107arXiv0809.3944OpenAlexW2147524943MaRDI QIDQ993228

J. Martínez

Publication date: 10 September 2010

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0809.3944

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) Groups and algebras in quantum theory and relations with integrable systems (81R12)

Cites Work

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• The rational dressing for abelian twisted loop Toda systems
• \(\mathbb Z\)-graded loop Lie algebras, loop groups, and Toda equations
• The Bullough-Dodd model coupled to matter fields
• The reduction problem and the inverse scattering method
• Nonabelian integrable systems, quasideterminants, and Marchenko lemma
• Integration of nonlinear equations of mathematical physics by the method of inverse scattering. II
• Integrable nonlinear Klein-Gordon equations and Toda lattices
• Two-dimensional generalized Toda lattice
• Nonabelian Toda theories from parafermionic reductions of the WZW model
• Affine Toda solitons and vertex operators
• Aspects of the theory of infinite dimensional manifolds
• Multi-soliton solutions of affine Toda models.
• Solitons, \(\tau\)-functions and Hamiltonian reduction for non-abelian conformal affine Toda theories.
• Tau-functions generating the conservation laws for generalized integrable hierarchies of KdV and affine Toda type
• Classical matrix sine-Gordon theory
• Hirota's solitons in the affine and the conformal affine Toda models
• On a solitonic specialisation for the general solutions of some two-dimensional completely integrable systems
• Solitons and the energy-momentum tensor for affine Toda theory
• Toda equations associated with loop groups of complex classical Lie groups
• On \(\mathbb{Z}\)-gradations of twisted loop Lie algebras of complex simple Lie algebras
• The symmetric space and homogeneous sine-Gordon theories
• AFFINE TODA SOLITONS AND AUTOMORPHISMS OF DYNKIN DIAGRAMS
• ABELIAN TODA SOLITONS REVISITED
• Tau-functions and dressing transformations for zero-curvature affine integrable equations
• Quasideterminant solutions of a non-Abelian Toda lattice and kink solutions of a matrix sine-Gordon equation
• Darboux transformations and exact solutions of two-dimensionalC⁽¹⁾_landD⁽²⁾_l+1Toda equations
• Dyonic integrable models
• Confinement and soliton solutions in the SL(3) Toda model coupled to matter fields

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