CBC Systems with Mikhailov Reductions by Coxeter Automorphism: I. Spectral Theory of the Recursion Operators

DOI10.1111/sapm.12065zbMath1311.35247OpenAlexW1710470545MaRDI QIDQ4982248

Alexandar Borissov Yanovski, Vladimir S. Gerdjikov

Publication date: 24 March 2015

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1111/sapm.12065

zbMATH Keywords

Coxeter automorphismCaudrey-Beals-Coifman linear problem

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Soliton equations (35Q51) Automorphism groups of groups (20F28) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15)

Related Items (7)

Nonlinear evolution equations related to Kac-Moody algebras $A_r^{(1)}$: spectral aspects ⋮ Recursion operators and hierarchies of mKdV equations related to the Kac-Moody algebras \(D_4^{(1)}\), \(D_4^{(2)}\), and \(D_4^{(3)}\) ⋮ On mKdV equations related to Kac-Moody algebras $A_5^{(1)}$ and $A_5^{(2)}$ ⋮ Pseudo-Hermitian Reduction of a Generalized Heisenberg Ferromagnet Equation. I. Auxiliary System and Fundamental Properties ⋮ The mKdV-type equations related to \(A_5^{(1)}\) and \(A_5^{(2)}\) Kac-Moody algebras ⋮ The \(N\)-wave equations with \(\mathcal{PT}\) symmetry ⋮ Integrable equations and recursion operators related to the affine Lie algebras Ar(1)

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