Hirota bilinear forms with \(2\)-toroidal symmetry.

DOI10.1016/S0375-9601(99)00093-6zbMath1044.37532arXivsolv-int/9811001OpenAlexW3100532260MaRDI QIDQ1967096

Minoru Wakimoto, Yoshihisa Saito, Kenji Iohara

Publication date: 8 March 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/solv-int/9811001

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Applications of Lie algebras and superalgebras to integrable systems (17B80) 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

Highest weight modules over pre-exp-polynomial Lie algebras, On a Certain Fractional q-Difference and its Eigen Function, Level one Weyl modules for toroidal Lie algebras, On the (2+1)-Dimensional Extension of 1-Dimensional Toda Lattice Hierarchy, Irreducible representations for toroidal Lie algebras, Extended affine root system. IV: Simply-laced elliptic Lie algebras

Cites Work

• Toroidal Lie algebras and vertex representations
• Vertex representations for \(n\)-toroidal Lie algebras and a generalization of the Virasoro algebra
• Extended affine root system. IV: Simply-laced elliptic Lie algebras
• Principal vertex operator representations for toroidal Lie algebras
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