Affine Toda equations and solutions in the homogeneous grading

DOI10.1016/j.laa.2017.03.030zbMath1418.81041OpenAlexW2597504765MaRDI QIDQ2002776

Alexander Zuevsky

Publication date: 12 July 2019

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2017.03.030

zbMATH Keywords

solitonsaffine Lie algebrasaffine Toda models

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie (super)algebras to physics, etc. (17B81) NLS equations (nonlinear Schrödinger equations) (35Q55) Groups and algebras in quantum theory and relations with integrable systems (81R12) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (1)

Exact solutions for two dimensional \(D_n^{(1)}\) Toda equation

Cites Work

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• A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation
• Affine Toda systems coupled to matter fields
• Solitons and the energy-momentum tensor for affine Toda theory
• QUANTUM VERTEX OPERATORS FOR THE SINE–GORDON MODEL
• Contraction of Lie Groups
• On the Contraction of Groups and Their Representations

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