Graded Lie algebras, representation theory, integrable mappings and integrable systems
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Publication:1586708
DOI10.1007/BF02551198zbMath0962.37036arXivmath-ph/9808003MaRDI QIDQ1586708
Publication date: 23 November 2000
Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math-ph/9808003
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Graded Lie (super)algebras (17B70) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Related Items (12)
Applying the Pfaffianization procedure to the two-dimensional Leznov lattice ⋮ On the integrable discrete versions of the Leznov lattice: determinant solutions and pfaffianization ⋮ Application of Hirota's bilinear formalism to a two-dimensional lattice by Leznov ⋮ Bilinear Forms of Integrable Lattices Related to Toda and Lotka-Volterra Lattices ⋮ Bell-polynomial approach and Wronskian determinant solutions for three sets of differential-difference nonlinear evolution equations with symbolic computation ⋮ The two-dimensional Leznov lattice equation and its various solutions ⋮ A generalized Leznov lattice: Bilinear form, Bäcklund transformation, and Lax pair ⋮ Matrix integral solutions to the discrete and coupled Leznov lattice equations ⋮ p-adic interpolating function associated with Euler numbers ⋮ Integrable semi-discretizations and full-discretization of the two-dimensional Leznov lattice ⋮ Commutativity of Pfaffianization and Bäcklund Transformations: The Leznov Lattice ⋮ Graded Lie algebras, representation theory, integrable mappings and systems. Non-abelian case
Cites Work
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- On the complete integrability of a nonlinear system of partial differential equations in two-dimensional space
- Graded algebras of the second rank and integration of nonlinear equations \(Y_{zz}=\exp(2Y)-\exp(-2Y)\), \(Y_{zz}=2\exp(Y)-\exp(-2Y)\)
- Maximally non-abelian Toda systems
- The solution of the \(N=(0|2)\) superconformal \(f\)-Toda lattice
- Determinants of matrices over noncommutative rings
- The integrable mapping as the discrete group of inner symmetry of integrable systems
- On three-dimensional packets of surface waves
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