Bogoyavlensky–modified KdV hierarchy and toroidal Lie algebra $$\textrm{sl}^\textrm{tor}_{2}$$
DOI10.1007/S11005-024-01798-9MaRDI QIDQ6492276
Publication date: 24 April 2024
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Applications of Lie algebras and superalgebras to integrable systems (17B80) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)
Cites Work
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- On addition formulae of KP, mkp and BKP hierarchies
- Solitons and infinite dimensional Lie algebras
- The extended D-Toda hierarchy
- Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
- Toroidal Lie algebras and vertex representations
- An extension of the Korteweg-de Vries hierarchy arising from a representation of a toroidal Lie algebra
- Constrained KP hierarchy and bi-Hamiltonian structures
- Tau-functions and generalized integrable hierarchies
- Canonical property of the Miura maps between the MKP and KP hierarchies, continuous and discrete
- On the modified KP hierarchy: tau functions, squared eigenfunction symmetries and additional symmetries
- Virasoro symmetries of the extended Toda hierarchy
- Hierarchy of \((2+1)\)-dimensional nonlinear Schrödinger equation, self-dual Yang-Mills equation, and toroidal Lie algebras.
- Hirota bilinear forms with \(2\)-toroidal symmetry.
- Kadomtsev-Petviashvili hierarchies of types B and C
- Polynomial tau-functions for the multicomponent KP hierarchy
- Miura and Darboux transformations in the SUSY KP hierarchies
- Darboux transformation of the second-type derivative nonlinear Schrödinger equation
- Hirota quadratic equations for the extended Toda hierarchy
- New integrable hierarchies from vertex operator representations of polynomial Lie algebras
- Bilinear equations in Darboux transformations by boson-fermion correspondence
- A differential-difference system related to toroidal Lie algebra
- Two extensions of 1D Toda hierarchy
- Tau Functions and their Applications
- On the (2+1)-Dimensional Extension of 1-Dimensional Toda Lattice Hierarchy
- Miura and auto-Bäcklund transformations for the cKP and cmKP hierarchies
- Introduction to Classical Integrable Systems
- Breaking solitons in 2+1-dimensional integrable equations
- Korteweg-de Vries Equation and Generalizations. I. A Remarkable Explicit Nonlinear Transformation
- The n-component KP hierarchy and representation theory
- On a Certain Fractional q-Difference and its Eigen Function
- Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras
- On Lax equations of the two-component BKP hierarchy
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